0
Hallo!
Ich stehe gerade ziemlich auf dem Schlauch eine Erklärung nachzuvollziehen.
Ich habe zwei Vektoren:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKoAAABECAYAAAAROK5wAAALlUlEQVR4Xu2d/VNTVx7GH0LDyyAuFlLpsJhaFRlladhuxPIiokzpIlR0cBAj1lEXZzrb8W9xtqMzbH0DuyxqUwoIhVFeCkVtfEFApdSgtM0UBBQ1MYF4w568oZCLuXm5ucnm3B/JOfec73M+nHte7nluyCy5QC+qgJ8rEEJB9fMWotWzKEBBpSAEhAIU1IBoJlpJCiplICAUoKBybqZRtJ+sRd9za4bo1FIcyI3nnDuQE/Yrj6LtN1sEiVtwZOdffB4OBZWz5GZQm4CCAwgSPh2V6Vfi6C9rKKicmREkIQUVFFRByHOxUAoqBdVFZIRJTkGloApDnoulUlApqC4iI0xyCioFVRjyXCyVghpkoGqh7m5B1+1RaGdNCFkiRWbhNqzXX4Hy+35MzJgQFpeGgpIMJIS6yBKvyd8Eqv/EpFV3o6XrNka1szCFLIE0sxDb1utxRfk9+idmYAqLQ1pBCTLcETd4Zv1a9NfV4FbkZhTnrcHSUC2u1ZzA1akIRIgkSC8rgmTgPOpV44iUlWF/zju8oufazRcD1X9i0vbXoeZWJDYX52HN0lBor9XgxNUpRESIIEkvQ5FkAOfrVRiPlKFsfw5cVjdYQGWGGvHVreVQlMqxxEaJfddj2Yfl2JelgfJoG8ybILHyz7A3I8YJS5PoqjqLm09cQ+5V6mX46959yI7lkp8dVM9iYvDs1ytobZ7A2sPF8Gi/hxlC41e3sFxRCvkrcXHUvKW07EOU78uCxr7DFCvHZ3szYFWXPA3aW9A9PAm9wYjQmJWQ5+dDFsfyOAsOUKdx89wJaFIPoyjZLoJ9WzIaqaXmHR8tBlsv4rZ+JbIKNwTAo9/dmCZxve4i+sYBsViLx0/jseXITo9Anb55Dic0qThclIw5ddtPopbs+dq3e7WDrbh4W4+VWYXYYHv0j3ZWodW0FYrcBIQyGrRXK9GnT8CWclIfO/D2/+PgAJWl19KrUFvZg9HIZGyvyMd7XDo2wdJwnEy5GNOoBaYYj0F1lEUPVW0lekYjkby9Avms4pJe+PgApBUEShvdDIHxGOmFo9mGXsEKql0USPPwRfF6wRDkVjA3UF2NiTdQmX4oj5mHUVLkfVEMVnVH23Gytg8vEnJwsESGSLMQtr89Z3v5JFhBfdhSie8G9YjPqECp3CKTH1/cQHU1Jt5AfdiCyu8GoY/PQAWZE7Cqqycwn2qDJiYd5Xs2WsesZB5xrFmNCLa3w4IDVAaan+pweeAlkgpKsTF+4fjUxigziIbKASQeKIEs3Bm3Qk+mPI/JW6Aymp9Qd3kAL5MKULoxnnSM88enViUZDDZUYiDxAErs4hoNMIjIqovl0a8nS6Wn0DZGxsxBO0ad6sHZMypMEjkStxzBzoRuVFXfwBMkzhufaVW1+HosDYcKk+YmBc5w9c3vLD2qF2JyBirz4BLOXLyDF0tl2KHIWWSCOYWes2egsopLXsNLQHdVNW6Q1RCL1vblBC2ZE3w9hrRDhUhimdQzpBc+2fAHVu8sRy7bOmtQ9Ki2RtW/+xEKdiRjvKEG1x+LoNOFI22PApskwLM7zTjXPYN0BcuM0zc0vqGUxUH1JCZnoN6r/xKtDxhLvRYfItlA1b+Ljwp2IHm8ATXXH0Ok0yE8bQ8UVnHRfK4bM+kKAu7C6Ty5uZYMA2puIbZAgZzFNgOCAlTy2NH0XEDTzXFMh4gRty4PhUTAkRYlOtRazIpCsCT+A2TnZ2EVi46Ccwq2MarnMTkD1d6j6mZFiErZteipAkbTgwtNNzE+HQJx3DrkFW6CZKQFyg412QEUkR3AeHyQnY8sNnHNy1LnuxCevcu2Y2UkHQgQFSWeL3twgCo8ap7VgNtkytUynIFqvx/TewFnnmTxcPyF7Kw1tcGwYRvk9kV+MgSoUaegbGsCBdXVBhU+vbCgDjX+G0NJ/wAZunvxIk+E9mp8e9eAMLFo7r4m4zTiMj8nE64FA1nao3pRe95u5V1Q7zVVout3Mg+f0WOGEeGt8HCIRdFIKS5DxsJNeCeTILdDftSJ0zW9eOpwg0U2CSiobkvtw4zeBZVzxZkJqL6pw0jSbtLDCTx4p6BybjYBEwoEqn4IPX2RkKcnYsHUxvdaUFB9r7nrJdJz/RbN6Ll+19GhOYJHAWpAETxtHdCRUlADuvmCp/IU1OBp64COlIIa0M0XPJWnoDq0dfDO7vnG3v7qoaWc6FSUHsgFVz9ECiorqEHu2sc/sbAaI1JQPZBaoIV9D2occFnNx10oqJ42GwXVUwWd5qegOpWIQwIKKgeRPEtCQfVMP2tuCqo3VHzjPSio3pCYguoNFQMYVLN9zX1MxazGCuKL5L8Xn6AGigYsrWMcw8/DwPtrl3v+Fhe/PaqnjnXk8JjZV0qgt2+4/2Pw6donnAaeuvxZ10Bhs17iriZrSv5AddOxjjFAZxQjynJoXIPLJy7g4XslOGg5i8PAoDNCHBXh/8eiLWoHrgbuuvwZrSf8LD2o+czWl51Azj+J34K5OY066BCFhef/OCHMF6juOtbdbzqOi2oxpNnFKJK9xA/kO00jq4idZJYIvQ116BoJwbqSg1h4hswxWKGNJkhDuelE6D0NOCHgmMhdl7+pq/hP9TU8jU3Fx5/mYtUD8umeDpHFHkiqbkd9ax8mJTmoIFZATn1CFtaKH1DddawjjTvRi5bma1A/nkGkNBOrjV2YIBYzuHsVmpkwvL0qHX/Pl4HN4dDNZvFCNrZHv6818J4dpbsufxY7SmK43Nn7O56HSpAq+xOG74mQkjgO1V3ibBH9Z8hy5h+/1hKAW7qHMak3wBgag5XyfOTL4hyfmPyAytL2LjrWGccG0NH+IwbHDDAR+5jlyZnI3ZyC5YKfrWDjmuNkihcNvG9H6RghF5e/13Ixz/Dr9Q5cUj3Ac+KDERpN/FPzNuNvK5bOB3C0E1WtJmxV5BI3F+vpVmWfHglbyh0NL3wFqkuOdXOBjkBHrNABYoYQJWUP1gv9oee34AYq3xpwPe/vcrxcXP5eu+lcJzM+Y/trGCQsHc1Q43EMSCsIlHP+lVY3wWgWd2tfgcrVsU472IRzl37B89koMk4twor7/8Xw+7shHa7DVY0BIdFr8XHZJ0jyKyM/bqDyrQFvoHJx+TMjSdxTes434gZ5Cr4lIeNUuQkdPwCbNptwpfkunsySJ6N8O3YTQzbrJgn5TuyLBOQcJJMtq3+l7dux873FLLTzA6r7jnWjXVX45uelyCwuIlbb45aKP1hp/titBBO9Daj78QVSyvZg49vO+gWhJ1O+18BboLrt8qe/g/qqbmiT8vBp7iosMZ9AbYPV0E6rRnv9JQzF5OJQgdnMzuYCqIlBejlpT6t/JRqPNUMdwfI6Hy+gesGxzoqhteJja+3LU87gFOp3flz7XNXAGai+dPkz132q5yzOqCJeLU85NI8RBoOIfNjC+ujXE7BPtY0h3mdjVK+58N1B3b8ukQV/f3eX5se1z9qu3DVwBqrPXP5sQD7qPA1iqgJZ2X44/VgN8xAtJxvwx+qdKDd/G2Ah1Lz0qF504WMMOhjFUTbTWKF6TGfl8uPaZy+VqwbOQPWJy988qRZx+HOQk2yMKMknmmILoMhhgZS/Maqzhv1/+53bZIrvqJ2BOgc+by5/7kRoXpY6j67wbOzKsEL6+u7W3B356VHdqXAg5wksUPlx+XOv/bT9TWgzbMA2uX2RnwwBatRkwrwV8wwsKajuCTw/VwCBypfLnxsyMpp2VH97F4YwMVkpt10mI6bjMvE52WadN06loLqhsEMWYUHlbEfpTy5/eITO0zXodfSvRGTydlQs/MgVBTXwQeUcgT+5/HGutC0hBdVVxdjS03P93lCRVVnbJ4Usv9Fz/XzJTO8rpALUgEJI9WnZnBWgoHKWiiYUUgEKqpDq07I5K0BB5SwVTSikAhRUIdWnZXNWgILKWSqaUEgFKKhCqk/L5qzA/wAP6Xq8F1FWRQAAAABJRU5ErkJggg==)
Und eine Funktion:
![](data:image/png;base64,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)
Das Ergebnis (mit dem inneren Produkt?) ist ausmultipliziert:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqMAAAA7CAYAAABPNYNvAAAevElEQVR4Xu2d+19VZfbHP4KHS2paitoYEuGFbzoGNWQpiiDJhDcw0zHS7Eav8VWv/pZ51ctmnMxGM8bLF/EGYQqiDFl4QUVDRzAwvoJ38+ABTge/a18OHA7nsm/n7A2t85Mv2ft51vN+bms/az1rDXtEP/CPCTABJsAEmAATYAJMgAmYQGAYK6MmUOcqmQATYAJMgAkwASbABEQCrIzyQGACTIAJMAEmwASYABMwjQAro6ah54qZABNgAkyACTABJsAEWBnlMcAEmAATYAJMgAkwASZgGgFWRk1DzxUzASbABJgAE2ACTIAJsDLKY4AJMAEmwASYABNgAkzANAKsjJqGnitmAkyACTABJsAEmAATYGWUxwATYAJMgAkwASbABJiAaQRYGTUNPVfMBJgAE2ACTIAJMAEmwMoojwEmwASYABNgAkyACTAB0wiwMmoaeq6YCTABJsAEmAATYAJMgJVRHgNMgAkwASbABJgAE2ACphFgZdQ09FwxE2ACTIAJMAEmwASYACujPAaYABNgAkyACTABJsAETCPAyqhp6LliJsAEmAATYAJMgAkwAesqoy3f4Z97LqJzeDSibRHUUz1wdnXhNwxHdLQNwv/A1Q1HdwSSXtuAJdOs2Zn2xkqUVzfhtqMTzsgxSEzLQU7KOERaU1yWigkwAUMI2NFYWY7qpttwdDoROSYRaTk5SBlnpZk/GGQ0pDO4ECZgKgHXrTqUlZ/C9Y5udDtjMfH5echJT8JIk6Syol5iWWW05bvNqIhYhIKF8bAJHeaoxY5NNbgRn4UNK/4oKXOuRpRt/h6jV72FOWNM6tVA1bZVYeuhHiwsyMSkSBdaK7eh+JwDk7LWYsUfzRqGFuTEIjGBIUagrWorDvUsREHmJES6WlG5rRjnHJOQtXYFrDL1B4OMQ2xYcHN+jwQcF1BSdAlJq6S5bz9fjG0VrYidtQJrhfUh3EwsqpdYVBltQ+XOs0h8PQfPuHvq8gFsLGvE2DmFWJ0WK3cfPffVCYxfn4cZ4e5QBfVdPvA56hMKSfGUG+E6j+KNFbg2KgVr1mdgvIIy+BEmwAQGG4HLOPB5PRIKafPpnfrF2FhxDaNS1mB9hhVm/mCQcbD1O8vLBAYSuFfzNYq7svFu5sQ+veXLHTjXkYDsj8Ovu1hVLzFeGaVTgLofHyLxlakYrXVktlVi5/kkrHp1cm8JrUc2Y3f9MMxa/S56+xQ/o3xnM1JXhVuxc+ByzSlEzkpHkt8DTlKUhQH3cBIy3luJFFF/lv/vQTyyPqGNSiufsLxHJ7l1P+Jh4iuYqrkjwyIoVzIYCTguo+ZUJGaZaKoKGTZav77ccQ4PJ2XgvZUpkKa+9H8PyLLzCVl2TP8NBhlNh8QCMAH9BM4X/w0VrSMxc/l7WCirNOL/XRvlpc/oryt4CdbVS4xVRkVz1AHcfbFAnxna2YEOjMAI0T4v/Byo3bEJNbeT8NqGJehzD3WiowMY0fdg8L4w6AnntSMo+vYBUtfk+TG7OXC+eAsNwjGYvfZNvCy6EdBpxMYyNMbMwup3M+H+TjJIJAOLkVwKDtx9EQW0cbJDgYFouSiZgBPXjhTh2wepWJM3xMaYgywgWyrQOmY21r75MqSpL1l2Ymat9jghMXEwDAYZTcTDVTMBowi0VX6JHee6MHXxX5E7RSj1Hmq+/hdq79Kh1IY+64lR9QUux7p6iYHKqJ2Ur22ojpiP9XkzpNMAw37kc/HpYTQ/lYGP6KQh7D4WPtshKWx7mhOQv1bwCfX1kBOdnRGIiZH+6CBfkS0V7ZhocZ9R0aelOgLzBfcHYzvSsBHBBQ0BAuLH6x40J+Sb4zsVSoTOTnRGxECa+vIG0D7RUj6jsJSMLtyqK0d5bRNuPXQBEcMx4slEvJD9Kl6Y0HsqEcoe47KZQIgIuEgP6CE9QB7HolWiHhFm+YzCmnqJYcqovXYHttTasOAd0vSNVmB+LsemvQ14LO1tvGWlm0ouchP4ci9aJi/HuznPBFaSxWf34/oUk5yWlU4zO10U21IL24J36HTb6I5UKgQ/93sh4KK5/eXeFkxe/i5yeh3Eh1brxTbuv44pK9Yi0/dXq+kNNldG94d9PJYXLES8zYm7lyqw91AD7vdEId7iH++mdx4LMIgI2MnKuwUnbQuw1gpWRwvpJcYooy4yP28qI0UrHx94+HkaNUJuVH2ForpuJC8vpA3LqFKNKcdxeie+ON6J1LXrkP6kvzKFU+MinBmbi4IME27PKW6qi6yJm1B2fQryP3gVfR67igvgB70I2BtO45enX0Ay+zr4GRsOnN75BY53pmLtunT4nUKDdWTZyWRfdAZjcwuQYVFFlK73GiujcG/gPPDHFIVrnXhSdBWJ/e4D0K3jut3YWtUKZ8RYpBVQxJQhNzgG66AeQnKrHau6mi58dG1H6X2ruCZZSy8xRBm9U70V204BLwZUyLT2ouwvesOcm2dBpXY1YP8/ynEtPgcfLk32cToqDMBdOB49D2/MkRZnp+ToKoWsstLvTjW2Sh2Jdf41aytJbHlZBEf1/079hE6ZLS+qaQK6GvbjH+XXEJ/zIZYmW8MJxxAYghvCruOInvcG5oiKqHk+7n7bEwoZBeWyFMhV6Bf/c/km7L2XisLVaV7uXbKPvRN47LnQHHQY0s9cyOAloHKs6mmo/XwJufUlI39JsngPw9XZAadthOzKo6dkLe9aTy8xQBm9g+qt23AKL4boZENekMbO8bFYaekEo99x0annRlS0PYOcD5fCey+1ny9FRedLWJzmDnRP5vqiRsxcsxCTjBZFZ3mh/ajQKdwgfZ2VUQUdJ4c8a3vG3wedgjIs9widOpRWoPOlxUhzB7onc31R40ysWWiVmR8iGVVt8PJljttA1FPpWL3qRY/TcXf0EerciVZd/y038FggNQRUjVU1Bfd/1tVahYMXn0bWq+5A98Ih20HYVlKkHRO+v62ol+hXRu/V4Ot/1eJh8nIUhsKG3noEm3fXAzNX4r2wLeIu/NpyBffGTMHkx4OPFAf5y26quT0gE5SrtRLbhCxSUXLGKGF89jjRNW4uNljmIpZ70sibwsNkLC+k+K7a55313nS241IT8Oz0CWE/jR56yqi6uaFsMPiLlqHsbes9JftAXuxElJg9Tvr1OLswbu4GrAzT7uNsv4QmPIvpPi8AhVBGVRt8nzIKeIe881BGRw+F2MyhmDvWG/3qJTKRi6qxqr5l4huCG8y2KrRHRnlYTl3ojpyG/PeMP5QKPO/pRNaieoluZdRFfj2fkV/PpIyPAi6yQjqs8vJaXL3bRYk9ozF+RhYWz49Dc3kxjjV3oKdnBBIXrkSu6FzXgsqt3+K/nfRPMeWniy5XymlBn56Hwtz/CTwqXLdQV16O2qt30dUDRI+fgazF8xHXXI7iY83o6OnBiMSFWJkrHZcP/NHg+RsFp1caE1BWmIf1C9tyA1VfFaHu/sDSY0OluGucK+Jrrjrs/qwKrRQbMVDEAnX9qFYgSk9YXY7jZ9tgf9SDYSMTMHfJYsxwfI/ib8/jVncPosalInflHD/RC3zXJ4XWgAkx3UCn5urN9PbGapQfP4s2+yP0DBuJhLlLsHiGA98Xf4vzt7rREzUOqbkrZdOvSsbhnhsKxfMdR1jhy2F4TFWf3KjCV0V1GDj1Y337vevuE18AZEUOfsLIqZVRDWOVG7z9/D4UVbUAkzOwZplHmC93khBaw21Jr2FDv5zPoVkr3M0MzTqncl9Rw7z3WeaiCpvKsSrtler0iwsln+JwMw1i75+f035Va82AQoPMe1hXL9GtjEob/SM6uKSArn6sT8IR9fbSdkxflo/Z9JXuaizD5gNX8CgmCtFT6FLP7A6U//s7NDri9WckIB+oqu2laJ++DPmz6SRMTBl6AFcexSAqegpyC2ajo/zf+K7Rgfjsj0FRqKSfqxMdThtGiLFYWnFk8278/Iz7NJZCM3Q4YRsR4/vGvFuRU6q8qpotYXpYDoL9KMAJdGj7kUyGJXTJK3YB8rKn4vFIO34o2owT9yg8TkQcZq9Zirj6XdhXexOxCrLYePrlSh9MQMZHsklkQBzb0DFWq4wKfkVFZ2KxIC8bU+lU3v5DETafuEdhQSIQN3sNlsbVY9e+WtyM1XBSZMbcUIjW/VEbn2U9/1pL9olPrp4+qS7U7f4MVej7uAybr7qWDd5He6TLodfp8OIxUuI9oy0Yu1Z4V23oOqdnX1E4d/oeYy6qkakdq1rXUIWCaVtrLDLvFbbR32O6lVEpk8BopKxZD99Z7u5QgNc9eJC+vi90izsbie1Z0c9yzDFBoX0gfP56BbVX37o7lHprz4N0rO8NteQ29djwrHBBYswxKRMKGWyTXtsA98f2ldLPcbDRhoR5eVia8huOUfak5iRK3Zcegbr9JTjePAzP+VW45S/eUQYHs799HFu/Po276jFIbzzxAt5aNw9jlbxPsUX/RukKR/tV9ELbjy4KCv7FmQkooEsM7tNqaWxRM8QLVa3SaTW1ZWywEF/3TuCbbT/g/thZWLQsE0lXqW1HI8QPnYTGSuw7dA634zJQSK4S0UrY6HhGlTIqRKX44gwmFKxGWh8EsV8IguiT3SozIQh4+605UkB1hT9z5oZC4eTxN0ppUPhwzQ2L9okvqvdOfINtP9zH2FmLsCwzCVdprByNyMbHeQlorNyHQ+duIy6jkCxYIR71ajd4X42Rw+Y1PCRf0oTsfrGrDV0rBtRt7Dqnb19ROHfkx5iLOl7i0yrHqtY1VJFkGtcay8x7RY30/5BBymiA9JYt3+GfR2PxukfYFhdtPEKeZgoghw3CNePWH1FSfRVPPr8Ymbpi4LTgu38eRezrHmGW3KYewR9JyHZAp54/llTj6pPPY3Fmn5leNMuU/YDGO92ITZiLKc7juEXH6Lh4Aq3dUXgyaTZey0mB+y5Cf6TBjsZ19lI4XpeVAb8nU3r70fUrWr4/hLJb0/EhZdzp/+ui8D6b0TrL8za1+yPCnTLNjoZDB3HWkYj0JS8FMdNLpqqqul/wIDIOs1JGo+mnCMyMv4nai6Taj3oaKRk5SPfO5RpQRm2doEYZ7aKToM2ts/pFZZAsDw/gVtLsDYdw8KwDielL8JJHqCA7Kdnl1U247eiEM3IMEtNykJPivjQnyB7GuSGYscrKcep6B7q7nYid+Dzm5QRKnStvCpIvhTUyFMndradPgo8Y7X3is2x7I6rLq1D3ywNExs1Cyugm/BQxE/E3ayEN+xRkBOuH4EIHf0LlBj+wQMmftfjcfQyPS8Oy1Z5uOfrXCmd7Pb4rP43YRes8UkvLUuhd57wao3VfCSijzx7QwUXJfDWbixIZg4/MgU+oGqsGz1fvXVDr+m+Vea+Fv8c7OpVRYQL8Hcevq8u1LobyaHDQBclCrE4LcWB1OWC+Q+FtTGEROFr5HzS0d6KHMqhMSJ6LzAUzETgJyOBXRoVN9+9kElNjJlXUj7dPouTgOdykk2ib/Q7uT1SYm9tBwfc31aAtVseFKkG5PHkUh2uv4gEldYkclYi07AX40+TH+7tbaJVRmEghPaGTL/a0+fE1dE/ktipsPdSDhQVCJjD3Ru7ApGDBwkMyNxy4QO4Wl5JWSSmBRed9So0ZOwsr/GYqs64yOnB9VdgnWhdmlX3iqxrXry04efQw+cw/gItG+qjENGQv+JOiy5hKxf5p32c4dJUmlaZfJBIXfYRlflz/xQxwwmHFAEXUT2UK14orR75G9c/dsNko29PdSMU+5IrWuSAclO4rWmX0Wb0iLhrnK1UYPi7aZRS4hHKsEgQxIY9S/ULddFG31oRj3quTX93TOpVR6YJGxTU1yqj7xCuQaV9dIwI97T5Z8m9+9ni7V3mhS050gYZy0mHYiATfCky/Sge/MkodKZqDlSujavtRfn6MMmW09/ScTHQf9zr2qhsXvRvAzW75xSjEBfy4UCejEmnUnIwOKK/3VD9wjN3LBz5HfUIhKX9y5Af3e6MC+5WGZG4I0TWKu5DtEWNSqqcDCZ4+2t6NlV13rHYyqrVP3O+pPeFS1Sc+B6AT7fVHUfmfBvQN+zgkz83Egpm+o0molTHouFd12tS/NPGmb/E5OCbMwRuvp/mxRHm947a0KV0rxLXunkJlVO0654OOln1FlYy+e0TRGqp1viKMXDTLGHSkqjbTD1y2JMtVMP1COCEvKz+F6x3d6HbGYuLz85CT7g7z5EdOheu/9La6eR/ckqaAncGPGKSMTuq7HBJMQEVfa8EKUfp35V8W9oZS7Dz8Xzx4NIL8Rpdi8pV/o+nZvyChqQQnWjsxbNR0LFrzZ0zzeZArx0KNMdhnVGkzjXhOVkaDRUXorUp1P6pT9HR9dZOTec2uAzhFp9vDyVy5KK0HR48B8xf04Puyi7hLl9kmpC3HX16e6EVOnYxKsOtSRhV9dcsyP6Q5+B5d0BLHp3ujCPSRGKK5IY6jVoycuZxCsck5vJT4g5LP8MayRsRYzEw/oI8V9Qmg7YRLeZ/4Gnuu1hrsOnAK7Z3DEUd+o2k9R3EM87Gg53uUkZ3+UcwEpC3/C9zDXpuMCka9VmVUPkVvn5CBguUpdIlRrsvxf7jYEokkCs3my9tV9VqhRtFTvc7156N5X1Ejo58uUcRF63wNJxetMioYqmp9RvsXqXC+Oi6gpOgSklaRm6BoLBJO/lsRGyw3vcK1Ru28h1ZLmhKeOp7RrYxePrARZY0x/r8y7Q04tJfMrWPT8cafpyHKy1/Uvd4IAdf3dC3UGUtU8Cvci5q2sUh/gxTHKDIRbhQuvcj+on2VYeueLiz0iPHVdnwr/vfS45ibtxQp426iki4wXU0U/NficKtuP0r+85AC1b+Jl32mpJMvMCl0BVDcXyE1AXtJEUwZ0N2PgRQ9Mi3/WIIj9b9hWu5q2iy9/UVlWYVsV5vqEf8uKV2B7mDQ5N+3tRr2adniRY6R4mIGZH1CiwH511TuO4zLYzLxfu40r+gI5iqjLsF3+kg9fpuWi9WkMXj7i0oUXGjYvwn18e/KF1EcdKi9BRWtYzB7LY1P8UaTr4+jMM0N+YSza+pi/DV3iijxPbpU+K/au3TqvqHv9NZ7EsgKq2LXnTDNDW194tG4gEqF9j7xtYY4LuzD1mo7pmUvQyb5Q4tWK0iWCOEkZN/hyxiT+T5yp3nFTjZA8eknjxZlVMgEta0YDY/P66+ICiNeiIbRNF1shzD+da8Vgdqre53r3zOa9xXVfaKRi9L5aiYXpTIq3lg9HlQ1VrXNV2H9K+7K9vCFl/eZjv4WL61rjdp5r9WSpgWvmnd0K6NS3viHAwK+u4WQlFXK5ybeNJ+Pe/v/gfImZ++FDGl/paxEX1VjVL7O/MOyQkWli8rx/HtCmsEmOPvdcneRm8dXqB6Vj7f8JjuWNvP26QoD7csx+x4OiIWnpitMfjZIG/T3YwBFT06cQElYJDeBSVJaUlJfJAVSRmOn5ALb21PxPoVACJ6KoI+npAzFKDi9N1MZ9Qj+LYYImyRlNqOLJ/1cJ+zkS7u9HanvL0GfTuFEZ2cEhX+SqDhoI9tS0Y6Jnj6jYZwbrk7yt46JkRMMSEzrIwL7jAZbR8yZHXr6RJY4kFJhWJ/4oiPLHhM4brD4pmrFJ0hvqNrghbKEHNnbcKwjGX/OTcVYr8ndfPQbnBq9QtrMjVgrArRX/zoXiI2KfUVtn+jgomS+ms1FiYya1gg1Y1XjfBU/CltHYuZyCn/ZaywS3Bvdl3MFyQ1Ya0QAwea9VkuaJrqqXtKtjELuoMf9hNsRB3ELxYnLWomsET9QvNGr+M1Ft2z/kI0PyBfQ5ryG6l2luPLUEqzNlHK3a/6JsrTgseQsrMwagR8o3ujV31zo6P4Dsj/IwwybE9eqd6H0ylNYEugyBehY/dPDFPReob/ihRJ8ergZ48NxIUsznGAvyqdpj/sOGaS/H4Mro46nXkFufjJu7i/CyTsR6OiIRuqbBaDcCPj1Qhl2VndjdoFk6lDzkxQdBAg/5i7NAsqo4ym8kpuP5Jv7UXTyDiI6OhCd+iYKJAgo21mN7tkF0uUgXz8xJM5+XJ+yov98MmluCB8QW07asGBt4H6TAkOPx5xCCmsV4juNyseOvLDr6ZOgyqgR65WvFsnBraEgHq1axScYQDUbvKCKCmOkpo3iifr/9X6QyUqXrrUimDIasv1Kxb6itk+M4OLuCx/zVf/6H2jQqOASQMZgw9Ln39WMVY1rqGTh6sLUxX+FZCyS15W7nhZbA9YasYHB5r1SS5ommrpe0q+Myk62rZOkME0DlEk63i/dfQRNlE1m2GOTMXeZO6NOHW500RWh6Cd8hKHR2iY6Ri/djSNNdjwa9hgmz13Wm7mmTqoMT9DN0hy/IZr66nV1dsBpGwH5sCmgQFL2mGikvU0nu2oCP2ptZkjec9HpxEb6gpskhcDy7kjd/RjETF+zG6Wnb6JrmA3jnsvGEjk719FG6suIYRipJDyQXy6eQYEDwTNTGRXStNVgd+lp3OwaBtu455C9RM4adrSRMlLRZbqRE/H8PB8hqXqbJJwwUeKAsZRIIsP7wy78c0O4jLK99D5S1+QF+YCQkkzUR6uPnRqSqeBRqO4+CWamN2i98slBaXIHtYpPMOhqNvhe/+ZAhXqeIJE5Wu9aEcRMH8r9SvG+orpP9HMJOF91r/+BB41SLsrXlGCDVP67qrGqdQ2lpDmdPWS5skmVim4H9Yjw8hnVvda4mxx03iuwpCnEZ+Rj+pVR8uERlZi2RN0B641sWPjKuiOZUyOst5GqZSDdvmxDokcyALVl+H/eeEXPONncJRkvo64LTKoaKIR02oXj0fPwxhxJEQ1bxh1fctJllJI9zUjOXwIxdHC/TDReL9yR3DIigiUzUMXDIg+rVipMkNtoGVVt8EOgvaFogtF9EkxGNfM1WFmh+nsoZAz7WLWjdscWnLQtwFo6vFNp5DOerD9LmvE1BS3RAGVUcPksx5d7GzFRyHCUrMvQHlRgyz0gbqTnMDLrHTKdWsa+qA2TnPWkcWJOv8Dr2grzfst4Rc8YuTxLMV5G+7VLuPvEdMSHeNWxny9FRedLWJzmDnRP5vqiRrp0txB+svQaj89dopAy7+BFPJ31Ktx5BRxkij1oW0mXrgauD8LlxW3nRiLrHTqRH+RTaADUcCsVWnrVaBkpQPmVq0DiFM+kC1oEC9E7Rrc3FGKGU0aV8zUUzQ1aZqhkDOtYFQ4MtqP0firWUOKXEG8JQZFKvtr+LGkKXjf4EUOUUaFRgrZ/wvkiCihFoc8L5wYLbo3iXOQyuwllN5LpclYmvAMFWUNGdVKI/lsnnHixQOdlsgHVGq/oqWuZkqcHg4wD2yHGZtxzEZ1RNoqMK/96nOgaNxcbKOVpeD8PpcsoVe2RiPKo2NUdiWn55MDvrRkLKfA2leFGsrUyLykZLYqeCadSoUggHw8NBhm1ts3Xe4OhvWGTUeV8NbIfFJc1GGQM3hgh7/ye5mTkL5EyPyp1TQhespYnLGZJoyYYpIxSSXco2PX2s3RCuB55M4ba8YafzqZ4XV/takT8irdpkw3vlq9l+Cl7R8jNvB1nR2b1ywet7F1fT/2E0k3H8Qu5c3Q7uuGKGI7oaFKaRs1E3po5GK+9YAPfHAwy+muu7LB+f+DfY5OXozDnGQM5KShKvsw38DLKRJ+Xk9roctmuxniseJtOcIfKFPLEFDalQkHf+HtkMMioo3nuV2/UFKGk/gF6nF3o+q0HkVGx4gfT0/MKkesnG5QB1aoqIuwyqpyvqhpj1MODQcYgbXW1VuHgxaeR9ao70L0Qo/QgbCspTKEJ656lLGkyO+OUUSpQDOZaDaQHuTlr1Bg1tRwxLl4JriXm+bgsYqpk+isXg0+LHen/1rb+WriE3zkB8US35BoS8wqQMSQ1UergwaDoDQYZf+dzhZs/iAmI+2kV2iOjPKxUdDgTOQ35HrHOw9VCa1nS+lptqDIqFCscRRedeQJL12UMCbO17wEi5co9Oz4Hq+XLIuEaSGGrR3AWLzqDJ5auQ8ZQ8D8IGziuSBEBMSvJWYzPWY05Q1ARDfsJlyLo/R8aDDJqaBa/wgQsRUAKW+cjcJnRSXIUtdpiljQPmQ1XRhXx4IeYABNgAkyACTABJsAEmAARYGWUhwETYAJMgAkwASbABJiAaQRYGTUNPVfMBJgAE2ACTIAJMAEmwMoojwEmwASYABNgAkyACTAB0wiwMmoaeq6YCTABJsAEmAATYAJMgJVRHgNMgAkwASbABJgAE2ACphFgZdQ09FwxE2ACTIAJMAEmwASYACujPAaYABNgAkyACTABJsAETCPAyqhp6LliJsAEmAATYAJMgAkwAVZGeQwwASbABJgAE2ACTIAJmEaAlVHT0HPFTIAJMAEmwASYABNgAqyM8hhgAkyACTABJsAEmAATMI0AK6OmoeeKmQATYAJMgAkwASbABFgZ5THABJgAE2ACTIAJMAEmYBoBVkZNQ88VMwEmwASYABNgAkyACfw/7mnomvytkg4AAAAASUVORK5CYII=)
Soweit so gut.
Nun der Schritt, den ich nich verstehe. Das Ergebnis wird im folgenden als Produkt von zwei 3d-Vektoren geschrieben:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeQAAACGCAYAAAAM5fkcAAAgAElEQVR4Xu1di1cUR/q9gLxEFCMEE0RiMErUJZCEYBBFEGWDqGhIWEIwxmTxt554/FtyNsecZaMmEpf1EcQXZPABKIsafBBFJa6IqLMBUUQZMsA48KueBw4wr56Z7uluvjknJ7uhuuqr+9WtW8+vfIbZD/QjBAgBQoAQIAQIAa8i4EOC7FX8qXBCgBAgBAgBQsCAAAkyNQRCgBAgBAgBQkACCJAgS8AJZAIhQAgQAoQAIUCCTG2AECAECAFCgBCQAAIkyBJwAplACBAChAAhQAiQIFMbIAQIAUKAECAEJIAACbIEnEAmEAKEACFACBACJMjUBggBQoAQIAQIAQkgQIIsASeQCYQAIUAIEAKEAAkytQFCgBAgBAgBQkACCJAgS8AJZAIhQAgQAoQAIUCCTG2AECAECAFCgBCQAAIkyBJwAplACBAChAAhQAiQIFMbIAQIAUKAECAEJIAACbIEnEAmEAKEACFACBACJMjUBggBQoAQIAQIAQkgQIIsASeQCYQAIUAIEAKEAAkytQFCgBAgBAgBQkACCJAgS8AJZAIhQAgQAoQAIUCCTG1AlgjoHzWhSnUJv/cNYlAXjJlvLUVWaiymyLI2ZDQhoBwENK01UNXfwWNtP3R+YZiTlIWshHD4KaeKgtWEBFkwaKWV8cOGMlQ099o2KnQRcgtS8LK0zLZujfY6Ksp+Q+zHG/AnpsCaa+UoPa1GcPwGFKVHeYX4NytLcPaBHfBmLUVx9ptyQJdsHIOAorgjtHc76rCneggrCtMR5aeHuqYU5Ve1iMoowgaOrBL/eZvHJMgSbyCeMq+jZhf2XbUnyPHI35yOmZ4qUMB8ehp+RPlAJjanm63tQM2ufbjaF4PMbblYKGDZtrK+Vv41Tt+3U3B0BrZv+JMXLKMi3UVASdxxFwtH39869i2aY4qZ+Jrmw/prKN9xGvdDE1CwKU3yA35v85gE2VELU8jfzZ1K8Ky3kfS6lZFqYCTiFryKYBnU10Aa9RQsWvcFVsw2GmwkUiji8zdjRKdFrEt32xW091gpsLMZZ37rBkiQRfSGZ4tSEnc8i8zY3EwD4z+ikPZFHhIMnYnpv/VGI2M7W9ES1gC3c/c2j0mQ3XahPDIwdyqh8fkWM0t52D6O9obZ/gDeWP03ZM/l/tqDhh9/QOMTRvqtjPRS2qxiy+lfc1NnEmR5NjZOUkyrS0rgjrBO0LKB8W42WA5DctEnWBzGlXYLx3ZUoTVIPitwVjESicckyMK2UMnkrqxORY/+/iEEBfkb8e2owa59zfD14h6yTUeLRGTJNDQFGqIs7gjtIB3jpi/jpnFUrGXtf/fpTsyUyR6yt3lMgix0+5RI/srtVDRo3LcbF/2Xo4jt0Uru2AgJskQY4LoZyuWO65g49aX+LlS7juL3ud47bOmUnc4kEonHJMjOOEMBaZTZqXCnOPei8mkiCnIlKMZcuxGJyApoopKtgjK5IzTcGtb0y3BlRjYK07xz88GjNRSJxyTIHvWadDNTYqeiuVaBQ+1xWJ8TZ5gZ6/v7oPMPgWm1TBrOEInI0qisMq1QIneE9RQ3UD6As4FL8VGKUYx1fX1ASAhMm0zCFi9E7iLxmARZCOdJME+ldSp6dR2O35iFjJXmYCBatnR9HP557HQnHeqSYAuUr0lK4447ntB1/oY7eB3zI21Lq+ZaJU73v4fVSeZgIGzpuqwViwpWIMqdwr35LQmyN9FXXtmS7lT0j9CkUqGx7QkGhoDAlxciY/UyRLSrUH6mHX1DQwiZswJ52caZMIsEgvLSOnT6BVgEAdFj0G8e1n8hMdKLRGTltVjp1EjS3OEJk6a1Hqqzv6JDM4whnymIWZKD1Qu1OFf+M649GsRQQDgSs/OQEmVtVGu6wgTbJ6b16hqUHrqB/gB/+JptG9JhIHwJtuYleCVoD0+IrCcXicc0Q/aIt6SfiWQ7Fb0adXsr0Tl/LdYnR8Jf34qqncdwezgIAYFzkV2YjD7Vv3GiVYvozG3IZVE/rlf8HSfbmXKP/c1MQXF+krTuUotEZOm3QPlaKFnu8ISU2+IpuxKM5bmZeGOqHzQXyrDzfA87Ee2LiOQCrIloxoEjjegKtgzioYNxtZmbEevRdPAb1CENX5nEdfRS9EPUfV+GpqfjDQuOW4firNd4Wiyh5CLxmARZQj4X0hSpdirdLOrWod5UbGJkNY7JzYEE/PF61hasCTvDrjRdRS/bfYr9YCty5gmJkgB5i0RkASynLE0ISJU7vBykZ/eBv7uCyMJ8JJmvIpjb5vR3ULQxFWpztLkZSfjs0xRw14h7zv8LpReeYkb8KqxNj0UbS1Prm4ltuTForTmC6quPEZFWjLyEQF7myC6xSDwmQZZdy3DNYGl2Kvdw4p+1CP5wI1JfMtXLHGoPpiAfUOOXinq0vfQWVqeblqxdg8A7X4lEZO9UbmKUKk3u8MN+4PJ+7FTHY8uauJFl47H10rRU4/ivWsxJzcF75iVrTSvqVXVoetALv4h4JEy7g5u+ixDd1YgbT4DQWQlIy0pFrOTuG/LDx2FqkXhMguzQE8pIIJtO5a4KJYdboJXi8rMrTUEkIrtiGn3jHAKy4Y5z1TGl4g5BlqChIxhx64rhaDVZ/+weLtaeZOc8etnCtR9C5yQhc/m7mM2WvifETyQekyBPiNYkn/B/5s5vWkIBNqU5eHtK/wz3zlWj6tF8bGH3kCX5E4nIkqy7QoxSpCCPrEQ58yCLDp3Ntaj5Twu6Bk1ODYhA3JJ0LF/Ezn1Y87OuE80nVLgcvAobvRFc3tNtTyQekyB72nESzU8enYqTo/bHF1Fx/Cq6WFfgr+nG05kSfklJJCJLtNkpwix5cIcn1E6uROnVDThw7BI6+ychgu0jJw3V4gyWYfnQOVSxNevhoEgkrfsLFpsfXrt9Cj/W38Wgvz/0j57ATwGx8w3IisRjEmSe7ViuyaXZqWjQUn2YLZvNQOpHf8a8ANNTbeb9Y/NqWHc99hwawIpxV5pMB8DCSJDl2i7lYLc0ucMPOb36F1ScasbzednIZ+ppvU56tBwtQXP05pFDWtrrR7CnXoN5mWuRzjaKDa+qwcg3TWsNjpy8hbD0L5E9b+zSNePy16fRQ4LMy1EkyLzgkm9iSXYqt45hR1UrdDA+m7is5yj+oboDXajlPUc97qq+R33oenyaYj75ZfYDCbJ8W6R8LJckd3jBZ3oN7TH7yPDqWBTq95TiEjuUFZ2xnb1dbMpM04h9ezuR+GUOxumrIYkpn6AX155sm0GCzMtFpsQkyK6gJsNvJNmpGAT5HibHZSAvIwQX2H3ktud69A2+isy/5mKhvw736w+g8vYryClKx/hYBSTIMmyKsjNZktzhhaJJSLWv4P3s9YjrOoqyi93wZReMAxM/QeGyCODZdVTtr8dgciETaFtHpk33jGF5T9mWISTIvFxEguwKXPL9RpqdCluyrjyIU3c0GPaZjNlL1o5EDWp6OAD4BmI6O82ZlZWAcKuHOUmQ5dsi5WO5NLnDDz9uL/hg5WV0DfjAP3wBMnNMkfBqW6EZ9oXPlJl4a2kWUh3dX9L1oQ8hMMQJsfsjQXaEkLW/0wzZFdRk+I0SOpXxsJMgy7Apys5kZXJHaDeQILuCMAmyK6jJ8BtldiokyDJsirIzWZncEdoNJMiuIEyC7ApqMvxGmZ0KCbIMm6LsTFYmd4R2AwmyKwiTILuCmgy/UWanQoIsw6YoO5OVyR2h3UCC7ArCJMiuoCbDb5TZqZAgy7Apys5kZXJHaDeQILuCMAmyK6jJ8BtldSo3UVlyFg9YVN1B7SD0vpMQGMjeXw1dhNyCFDgIuCmu90SK8CNupSZWacrijsC+e9iAsopm9HJvIA88xxB7szw4gF2RmLUUxdlvCly4gNmLxGMSZAF9KKWsqVPxkjdEIrKXajchiiXuTAg326+kSDwmQZ4gbY06FS85WiQie6l2E6JY4s6EcDMJMrlZPASoUxEP61ElkSB7CXjPFUvc8RyWss1JJB7TDFm2LYSf4dSp8MPLY6lFIrLH7KWMxiFA3KFGQa89URvwKAJidyo3btzAiRMneNVh+/btvNLLIjEJsizcZM9I4o7sXeh+BUTisfJnyJoWXLg1HQlvRyLQDbd0XKpBR8wyJFgPquxGzuJ8Knansnv3bnz44YeYOnWqOBWUaikiEdmp6nuIC06VZZGIuMMPMeIOP7xESS0Sj5UtyBp2F27vJUzPKUL6+KeCePlR/6wJh/ddxYzsQqS5mRevgj2UWExB5mbHDx48wKpVqzxkvYyzEYnIDhHyIBccljUmAXHHecSIO85jJWpKkXgsQ0G+hWM7rmLWljwkWH0ByOQmvRo1pYfQPicPm9JmesR3GuaU0nogtWgDbL5Q5pGSPJ+JmILMjfBXrlyJWbNmmZ2BR00qqBrv4NEfevaK0ySEvDQHb2euxNuRDp+N8TwYYuYoKJG9xwW+EBJ3nEOMuOMcTqKnEpTHL2ojP0FWn8LOmmB8+GkKwmx6hXvUfhcOq+cif3M6PCPHXGEaNO7bjfNYjM/zk2Dr1VDRG4sTBYolyNwIn/snLy9vRIzVNaU41B6NdYUrEM3eOH7y22kcrm7B06EA9kB6kZ33V52omNSTCElkr3KBL/DEHUeIEXccIeTFvwvJY4tqyU6Qexp+xE/adHyxIsq2d7ob8CNbqg5Y8iU+fjvYs168dwL/PPRfzMzagjVx9qboni3W3dzEEuRxI/yOGuza14Y5+ZuRbjEy0jQdxJ46NXS+M5BU+ClSXnK3hhL9XkAie50LfCEn7thFjLjDt0GJmF5AHlvWQmaCrDXMUDsTtyJnni1n6NFy9B9Q3Y9G1pY18LxmdqN+Tyku4R0UbUyFXHREDEHm9o3Pnz9vMTsGW6koweGeRBSzFYXRQyNuubUKrTpg8oL1+OvK2SKyS8SiBCOyFLjAF0fiji3EiDt825LI6QXj8eh6yEyQWSf+bTNiitkerq3Jqb4FR/+hwv3oLGxZEwch5rBGcZuEd4o2IlUmiiyGIP/0009ITk622DvuQcOPP6DxMRDwSiryP37HYgBjehiilzXImSlWBFtkwglVnGBElgYX+MJG3LGOGHGHb0sSOb1gPJazIN9VoaQ+FB/b2z++dQw7qloxI6UY+UkeXq42Y8fZcbgFk5M+w6cptneyRW4ydosTWpCtjfCBF4IMRCNjOxtIjVhpIcjTElCwKU1aj0J4ynlCEVkqXGA46Tp/wx28jvnOHNAj7oxrWbLgjv4Z7t3uQdjc2ZgqxCzHE3wT0kaheDym3pKfIeuetOHyuQZcb3+C3kF2Qpf9fCeF4KU5byNz5dsY2weoT+3EwWZgUd4XsLfNrGmth+rsr+jQDGPIZwpiluRg9UItzpX/jGuPBjEUEI7E7DykWLvipG/CwW/qoI7OwPYNLyTGE21KqDyEFuTxI3xjTTTXjqCs7h4wOw0Fa//04iCcnl1J23Ea94cA/9gPsHXUHoQGrfUqnP21A5rhIfhMicGSnNVYqD2H8p+v4dHgEALCE5GdlwJXbqDpHzVBpWpE25MBDLHb6S8vzMDqZRFoV5XjTHsfhoZCMGdFHrLjPHBsz4NEliQXYBpYId65A5TEnXEU9yx3GOfc6dtsdUCmdhydsZ0dwhSml3Kbl0La6EEe20NPuoLMRjvXVQdR0zqEmYlLsfzdKLQd3g31/M1ICf4Fp2ub0TkUiZSPPkSSRbCOa+Vf4/T9KKR9ZftalOZaBcquBGN5bibeYMM9zYUy7Dzfg6AgX0QkF2BNRDMOHGlEV7CtmZsap3YeRLOPk52QMO2XV65CCjI3wq+ursbmzZudtkl7eT++O/s7E8TJiFu3GVmvmYfdGlyrKMOV4OXIzXyDjcY1uFC2E+d7ghDkG4HkgjWIaD6AI41dCE4oYFfa+D22qFfXYW9lJ+avXY9kNprTt1Zh57HbGA4KQODcbBQm90H17xNo1UYjc1suFjpdIxsJPUFkyXFBh74+ICSEu7KmR9PBb1CHNHyVl2DYItIZ/wjrF9qIO5YtxbPc4QbA7vZtL6zT9/dB5x+CIM6p3In+g3fxmnmio+9Hn84fIYY/uv9zlZei2egJHjsBkzQFmd0hbth3BI1PpyFpbb5plsodArqCyM/zYViJ1jRi3+4GPJyehEK2hG3cyjWN1vtibHemepbPdyyfQpaPeQJkBnu68aCW2iDqLLsZSfjM6vK4ebl17DKsHcRvHsE31W2s+3Lt5zdnFb5a6/p7oq4K8sDAAHtr2H6MM26E/+abb2LBggXOVU5/F6pdh9HyB9tbjsnEptyFIwe+9GzL4bsrkSi0uFZmHGQB098pwsZUNcq/ZjNrg3v4bhl0sz3tQ+hN3fRiAGA4BX4Vvf6vGw4Bhp3hzgewjW3/WHywNQc2zw46V1O4HQNXglzoOf8vlF54ihnxq7A2PRZtzD+1vpnYlhuD1pojqL76GBFpxchLsNZuiDuWTceT3IFH+jazdbdR+e1xtPrHYGnuGiQ8P8N40o7Ygk1I9W3C0YqzaPdZgLwvVsDOfRcnWeIqL0W0ceIKsh63jpWgqnUYUWkbGalNqsmN0E5MwpqRvUbTyFw9DQmskRgnSo6XzwbYzGynOn7Uga+xYqVpqcbxX7WYk5qD92ysiRpFgocgO9k0hUrGV5A5IeY6i/DwcLsRt7q6unD06FEes2M9uHvJ5VefYlJEEtbmWy47D+Dy/p1Qx1teKTN34KGIN1yd0qCl+jh+1c5Bas5745asdZ3NOKG6jOBVG0ddszLgyl27qWV32C1Ox+sZ0XZwas+2H7Zya3HqX1BR34aX3lqNdIsla245rUp1Cb/3DWJQF4yZby1FVmqs47vobhFZolzQtKJeVYemB73wi4hHwrQ7uOm7CNFdjbjxBAidlYC0rFTE2ljxJ+4YWe5Z7gCe6tuM1ukNwXyqLrSiezCYbenNhe7sI+78JW6cV2Mw4CXEJn+ArITw0QdnuX3cc9WoejQfW3KdXNt2mZf8bfQOj53v1aU3Q+6ux57SS3himq2aDzFzdy7396aiOOs1U+3MgmzuqA09Lk788xBu+PFZSuauj5SgoSOYLZ0Ws5mTc+DJrVPR/u8GWjrZbDcyDgtetX/YzbyM1tvLHYEGPv/8c5sxqbmlai4il7OzY0PEJk4Ax4mxDdy1bCWkpAEdwXFYV5wFW+65fepH1N8dhL8/I+kTP5N4O/al4VpWi5Z1NHYOAWqvo6LsN8R+bIzQZqyDGsHxG1CUHmX/JH93G6609wBhMUicw/NIvsS5oH92DxdrT6KxrZd1334InZOEzOXvYraDUz/EHWO7FJw7cK1vG80aHTqba1HznxZ09g/BNygScUvSsXxR5OgticcXUXH8KrrYf/XXdOPpTPfO1zjFyxFDnbTRWzx23A2NpJCcID+s+x5lTU8xbdT+oJ6t/H2L/77xN3agwLxnwZY9S9iyp5YFlviMBZYwHHZ2PEMeh435cBHsLHNbAVRuncrDhjJUNPcidFEuClJs77s+e/bMMOPl4lBz/+ZEOSGBzXjS0sahwKU9ePCg07NjvboGpeVXoY1MwUcfJsGZdzpGZrBsaXsbW9p2+DPMSHucFGTz7NtylWV8CdxgsHwgE5tHIps4sTVizuZmJUrOPgBmLUVxNr8tB2lz4UUn2DVoqmxAhPXOegykxB1ADO7Axb7N0l0jgy522JGdr2Qnan0QEmNv4GXiRpg7guwcL812Omujt3jssM+ySCA5QTbvF44+zTdm/5irgCHqzw30s33ecXvIw4uc39swXcPQ8roLa77Oo9wlaw5i8xOK3B4yN0seu5fMa4TPPW5QehqdkWkoXJfw4uqE9n+4cc8PsfOtv8bFb6TMjOYjyE7Ovg1tUj0Fi9axk/um+CXGdmq5OmODdm4sWUuVC3p1Aw4cu8RmTJMQwfaRk4ZqcQbLsHzoHKrYmvUwm0UlrfsLFluNWUvc4T07dpE7LCqP4Xomv77N3I7Z1lDlfpz8by+GQ9g+8prZuP1vdrntLzG4U3Ee6n4fhM5fhYI/zxsT8McDguwkL7lQxnxs9BaPZS3I5g54lCBzB29+9kXOyP6xhp3s3IO63ycjfoPlS06Oya7n9ghPNeP5vGzksx7D+t4qF+2rBM3Rm+0fTHlufxl1lCNkeqhr165dhlkyF/Bj8eLFI1XiNcI3PPRRjpapS0eLMctNz0JofnNnvun6GNtf/qUCp5qfY152PuvQx+4fm4rngr+UNCN6MztJP/bckD1BZs8PVh9my98zUvER60gCxuwfm9deuuv34NDAipHwrMY2MoA3Vv8N2XM5G0zt7AkbkG21E6SGS+qGIEuVC9rrR7CnXoN5mWuRzjaKDR0djDMiTWsNjpy8hbD0L5E9z9oJXJNPiTvOrSw5zR3GJY/0bWaKd+Dsnp/w29QlyF2TgPAuixC4EY/QdLQC//ljEQo+WTwmWqELguwiL7kVUT42eovHshZk88wXFuEUtY37UNqdbNo/Zp12wz527eUpIq08THC94u842T7dYhnbEg6LQBWGO8RRxjCY7CDKqAEAd4J7bycSv2SnbK2e6md7in8/iXZ2wtv6KWw+LhAnLd9DXWaruFCYFy5cMMyO/+///m/EWG52HBERgcTERAcVYNeYyktxpi8Of85OxIwxeLbX/guXpm0wLgf3sBjkPzSCBfYy+iPKdJ5gTFARDWsPezsT8SW7uzzOPXYE+daxHeywIIvVGcqdMViGHi7E6h0d+7/5L5ajuRPg39cjdL1lfG09+tn+WVCQ6SKP4WR2M3yd2UN2Q5DlwQUTp4JeXHuy3yCIO4JwxzIIj1t9mw3vGQIuseuCDuI7jGwb8liydp2XY2x1aKOXeMyji5fckjV3us9wCpfNkqKXrMHqtyNxq+JbtC34G7IifmOnO2vR/IgdwPpgA1ZaOcbJ7RP80PgMsR9Yi3dt6jy0r+D97PWI6zqKsovd8GX3JgMTP0EhCw6BZ9dRtb8eg8mFtl8heliH78uaMBi3zuKQGQ/UvZDUVUHmTltzs+TBwUHDk4rc4S1udrx3717DCN/RlShOPHc3dLD7xrZ/I4MhkyBrX3kf2evj0HW0DBe7fdmd10AkflIIo3uqsL9+EMmFNp7AdCTI99i954w8ZIRcYPeR2/Bc34fBVzPxV7Y/7a+7j/oDlbj9So6dw1rGV4su+i9HEZsROgwd4o4gy4ELeIi678vQBCejrRF3hOGOWZDd7dts0fR6Bf5+8j6iM7fB/lEO/jNkgyC7zUtmuNM2cpUUk8fOd/gSFGTOeHZS9sZpnGq4hYf97BwBO00w5OML/8lhmL1wKVLftRO+zXSvlJ3qsTiE8wIQbv/rYOVldA34wD98ATJzliGiXYXy2lYWFcqXRYWaibeWZiHV1p0N8zJr3UMbou88+GKmdFWQORvNs+SpU6ca9pK5ET73vy2XsK3XxSI8ps3KWu7DcqsfB1F5uQsDPv4IX5CJHFMErdpWDYbZgZIpM9/CUjtXauzuIbOlscqDp3CHRWfzmTwbS9aao3814eEAa2eB0zEnKWv8VY4R27nB4l5UPk1EAbvS4VCMue/cEmTpc8EAja4PfQiBIU6Ig59hi4K4IwB3uCVr9/s22+5js8s+HfxDghy8D8BfkOE2L81WO2ujN3jsiBnGv0tUkC2M50bUlUC207GOTQ0iQKjlZPNrUrM9EzjCOT+5ncodQeZmxNzTcNxv2bJlBoF2ZnbsttGuZMDnUBfP/LkoSIfa47A+J84gxqOiBNnKy21BljIXeALIBtrGl9iIO45WlvgiK530LgiyyMZ7ncd26it5QR69f+yc54zLpANIFOI1JtNrUl1vWp+BO2eh+KncEWTOWm5WfPPmTYPhYw94iV8bOyUKJMhcaL/jN2YhY6U5GAh3x/M4/PNsh2g1WOlBQZYcF/g6nrgjbe7w9afV9NIWZCnw2B7Mkhdkbn/h6qwt7LQzj5ipptCMd175AMXWDv640fC62R713qbJWP4528MU6DEpN8yz+am7gmyeJQcEBEh3djwigM7eQ3YSacO1kzp0+gVYLNfpMeg3D+sdhQ70oCBLjQtOojeSjLgjce7wdajcBFkiPJaxIHOB6GsQ/KE58IfzLYaLiVyieoQFH7GwmlbvQzqf10hKLtLL93V4/r5FSE8XsvHGJ+4KMmczFwSEi8rleO9Y/BqaA58M6QYw8HwIfgHBCGBjuFlLi8EzHsc4440n960cS3Pm7rrHBFliXODrYuKOZLnD15XW099EZclZPGDbEoPaQeh9J7EDn/7wDV2E3IIUSTytKg0e20db2jNk7oJ4aTeS7YRMtF0942ntQ+0xWF+U7tIzfaPz5q7v7EWDbwoKnT3Q45mW7pFcPCHIHjFkomXiKUGWFBf4OpG4wxcxSi8xBDzFYwfVkrYgu+0TJsp17FTsk3fwqcWLQq5k21G3B5W97+Fj04EeV/Lw5jckyF5CXyQiO66d57jguKzRKYg7fBGj9JJDQCQeK1yQJedWrxlEguwl6EUispdqNyGKJe5MCDfbr6RIPCZBniBtjToVLzlaJCJ7qXYToljizoRwMwkyuVk8BKhTEQ/rUSWRIHsJeM8VS9zxHJayzUkkHtMMWbYthJ/hSutUXH5onB9s7qcWicjuG0o52EJAadwR2tPcAyOq+jt4rO2Hzi/MQfQ7oa3xUP4i8ZgE2UP+kno2iupU3HloXGxHiURksas1kcpTFHeEdlxHHfZUD2FFIXezxfQuwVUtoqw8BCS0KR7NXyQekyB71GvSzUxJnYpbD42L7SKRiCx2tSZSeUrijtB+u3XsWzTHFLOHeUyBnPQsqM6O07gf6uTjI0Ib6Gr+IvGYBNlVB8nsOyV1Km49NC6230QistjVmkjlKYk7wvrNFDbzjyikfcFCyhoiGZofmGFvh29n0Q2FNUC43EXiMQmycC6UVM5K6mnl0X4AAAl0SURBVFTcemhcbK+IRGSxqzWRylMSd4T1m5YFT9qN0+owJBd9gsVhXGm3cGxHFVqDuDfI0+GpoInC1sNK7iLxmARZdM96p0BldSpuPDQuNvwiEVnsak2k8pTFHaE9p0N/vy+CgoxL1lrW/nef7sRM2kN2CngSZKdgkn8i5XYqPB8aF9uVJMhiI+7x8pTLHY9DNTpDwyM/R/H73A0oSo9y8I6ywLa4m71IPCZBdtdRMvlemZ2KCw+Ni+0vkYgsdrUmUnnK5I7QHuTil5fhyoxsFKbJXIw5qETiMQmy0O1SIvkrsVNx6aFxsf0hEpHFrtZEKk+J3HHVf7rO33AHr2N+pL+dLLiB8gGcDVyKj1KMYqzr6wNCQmDvK1dtEuU7kXhMgiyKN71fiKQ7Ff0jNKlUaGx7ggH2ymHgywuRsXoZItpVKD/Tjr6hIYTMWYG87DhMMUHp8kPjYrtCJCKLXa2JVJ6kucPTEZrWeqjO/ooOzTCGfKYgZkkOVi/U4lz5z7j2aBBDAeFIzM5DSpS19+dNJ6Zh/4CW5lolTve/h9VJ4aZlarZ0XdaKRQUrEMXTXskkF4nHJMiS8biwhki2U9GrUbe3Ep3z12J9ciT89a2o2nkMt4eDEBA4F9mFyehT/RsnWrWIztwG9mgX4M5D48LCPD53kYgsdrUmUnmS5Q5PJ3ArSmVXgrE8NxNvTPWD5kIZdp7vYQewfBGRXIA1Ec04cKQRXcGWd4Z1ME5uubmtHk0Hv0Ed0vBVXoLVma9eXYPSQzfQH8DeQjbbN6TDQPgSbDV9w9NsaSQXicckyNJwt+BWSLVT6W74EYd6U7Ep6zXTaNp8b9Efr2dtwZqwM9i17yp62WJX7AdbkTMPcOuhccGRHlOASEQWu1oTqTypcoeXD/Ts+tF3VxBZmI8k8zKTuW1OfwdFG1OhLv8ap++zXGck4bNPU8DdWuo5/y+UXniKGfGrsDY9Fm0sTa1vJrblxqC15giqrz5GRFox8hICWeqHqPu+DE1Px1sWHLcOxYzjsv2JxGMSZNm2EH6GS7NTuYcT/6xF8IcbkfqSqT7myD5ggQS2coEE1Piloh5tL72F1ekvlqz51d6LqUUishdrqPiipckdfrAPXN6Pnep4bFkTN3LaeWy9NC3VOP6rFnNSc/Ceecla04p6VR2aHvTCLyIeCdPu4KbvIkR3NeLGEyB0VgLSslIRaxZ5fmbJJ7VIPCZBlk+TcMtS2XQqd1UoOdwC7cwUFOcnwRDsR84/kYgsZ4ikbrtsuMMLSC0a95WgoSMYceuK4Wjyqn92DxdrT7JzHr1s4doPoXOSkLn8XcxmS98T4icSj0mQJ0RrYgHsanZh39VehMbnY3O6dOPlmO2cllCATWkv2/QOvfY0QRquBKopF+7wgmpkJSoGmdtywR3NsP3TobO5FjX/aUHXoClVQATilqRj+SJ27mPMh/TaEy9PjEpMguw6drL6Uh6dipOjdnrtSVZtT+7GyoM7PFF2ciVKr27AgWOX0Nk/CRFsHzlpqBZnsAzLh86hiq1ZDwdFImndX7DYPMan1554OmJ0chJkt+CTz8fS7FQ0aKk+zJbNZiD1oz9jXoDpZRjz/rF5Nay7HnsODWDFF8ZrE/Tak3zanRIslSZ3+CGrV/+CilPNeD4vG/lMPa3XSY+WoyVojt5sOqTFQl9eP4I99RrMy1yLdLZRbHjYBRnYvuFP4GbCR07eQlj6l8ieZyQrvfbEzy9jU5Mgu4efbL6WZKdy6xh2VLVCh1DE52/Gsp6j+IfqDnShlvcc9bir+h71oevxaYrx5Be99iSbZqcIQyXJHV7I9qDhxx/Q+Jh9FM2JaRTq95TiEjuUFZ2xnT2VaMpM04h9ezuR+GUOTPo6phRTPkEvrj2NTkCvPfFyi5XEJMjuIiiT7yXZqRgE+R4mx2UgLyMEF9h95LbnevQNvorMv7J9LX8d7tcfQOXtV5BTxD14bgSbXnuSSaNTiJmS5A4vbE1Cqn0F72evR1zXUZRd7IYvu2AcmPgJCpdFAM+uo2p/PQaTC5lA2zoybbrWBFtvG9NrT7zcQoLsLlzy/V6anQpbsq48iFN3NBj2mYzZS9aORA1qejgA+AZiOjvNmZWVgPBRhznptSf5tkT5WS5N7vDDkdsLPlh5GV0DPvAPX4DMHFMkvNpWaIZ94TNlJt5amoVUR/eXdH3oQwgMcUKs/ui1J36eGZ2aZsjuoCejb5XQqViHm157klEzlKWpyuWOwO6g1554A0yCzBsyeX6gzE6FXnuSZ2uUl9XK5I7QPqDXnlxBmATZFdRk+I0SOxV67UmGDVGGJiuRO8K6gV57chVfEmRXkZPZd0rrVOi1J5k1QBmbqzTuCO0Keu3JdYRJkF3HTlZfKqpTodeeZNX25G6sorgjsDPotSf3ACZBdg8/2XytpE6FXnuSTbNThKFK4o6wDqHXntzFlwTZXQRl8r25U/Gf9iqipgeMtzokFmmZiwxPrtGPPwL3zh3GlYdWvtM8xN1Hf5gCMpgjMPDPn77wHgLEHe9hL3bJ3uYxCbLYHvdSeeZOxWbxo6JjeclIGRdriB7GvSVr62eIkESCLEcXE3fk6DXXbPY2j0mQXfOb7L7S/u8GWjpZsA1bv8BIxC14Vf7PHXrJM91tV9DeY6fwsBgkzjE/+uwlI6lYlxAg7rgEmyw/8jaPSZBl2WzIaEKAECAECAGlIUCCrDSPUn0IAUKAECAEZIkACbIs3UZGEwKEACFACCgNARJkpXmU6kMIEAKEACEgSwRIkGXpNjKaECAECAFCQGkIkCArzaNUH0KAECAECAFZIkCCLEu3kdGEACFACBACSkOABFlpHqX6EAKEACFACMgSARJkWbqNjCYECAFCgBBQGgIkyErzKNWHECAECAFCQJYIkCDL0m1kNCFACBAChIDSECBBVppHqT6EACFACBACskSABFmWbiOjCQFCgBAgBJSGAAmy0jxK9SEECAFCgBCQJQIkyLJ0GxlNCBAChAAhoDQESJCV5lGqDyFACBAChIAsESBBlqXbyGhCgBAgBAgBpSFAgqw0j1J9CAFCgBAgBGSJAAmyLN1GRhMChAAhQAgoDQESZKV5lOpDCBAChAAhIEsESJBl6TYymhAgBAgBQkBpCJAgK82jVB9CgBAgBAgBWSJAgixLt5HRhAAhQAgQAkpDgARZaR6l+hAChAAhQAjIEgESZFm6jYwmBAgBQoAQUBoC/w833xAiu52VKQAAAABJRU5ErkJggg==)
Wie und warum komme ich zu dieser Schreibweise?? Also wie wird aus:
![](data:image/png;base64,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)
und ![](data:image/png;base64,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)
?
Hoffe mir kann wer weiterhelfen!
Ich stehe gerade ziemlich auf dem Schlauch eine Erklärung nachzuvollziehen.
Ich habe zwei Vektoren:
Und eine Funktion:
Das Ergebnis (mit dem inneren Produkt?) ist ausmultipliziert:
Soweit so gut.
Nun der Schritt, den ich nich verstehe. Das Ergebnis wird im folgenden als Produkt von zwei 3d-Vektoren geschrieben:
Wie und warum komme ich zu dieser Schreibweise?? Also wie wird aus:
?
Hoffe mir kann wer weiterhelfen!
Diese Frage melden
gefragt
milka2012
Punkte: 10
Punkte: 10
Ich glaube es geht um quadratische Formen, ich finde aber Bild komisch. Weißt du was Bilinearform ist, dann kann ich dir quadratische Form besser erklären
─
mathejean
01.07.2022 um 19:13
Das sagt mir leider nichts :(
Also eigentlich verwirrt mich nur die "umwandlung" von 2x1x*1x2x*2 in diese Wurzel 2...
(Sry, die Darstellung ist wirklich blöd)
Den Rest versteh ich denke ich. Wenn man x_1² und x_*² (der beiden letzten Vektoren) multipliziert (bzw. das innere Produkt anwendet) dann landet man wieder beim ersten Teil der Gleichung. Nur versteh ich eben nicht, woher diese Wurzel plötzlich kommt.
─ milka2012 01.07.2022 um 19:18
Also eigentlich verwirrt mich nur die "umwandlung" von 2x1x*1x2x*2 in diese Wurzel 2...
(Sry, die Darstellung ist wirklich blöd)
Den Rest versteh ich denke ich. Wenn man x_1² und x_*² (der beiden letzten Vektoren) multipliziert (bzw. das innere Produkt anwendet) dann landet man wieder beim ersten Teil der Gleichung. Nur versteh ich eben nicht, woher diese Wurzel plötzlich kommt.
─ milka2012 01.07.2022 um 19:18
Ja das nennt man den gemischten Term der quadratischen Form
─
mathejean
01.07.2022 um 19:50
Hmm okay. Danke! Das ist ein Stichwort, dass ich mal morgen in die Suchmaschine hauen werde.
Oder gibt's da eine simple Formel ala allgemeine Rechengesetze wie Wurzel aus a * Wurzel aus b = Wurzel aus a*b, die du mir kurz hier reinschreiben könntest? :))
─ milka2012 01.07.2022 um 19:59
Oder gibt's da eine simple Formel ala allgemeine Rechengesetze wie Wurzel aus a * Wurzel aus b = Wurzel aus a*b, die du mir kurz hier reinschreiben könntest? :))
─ milka2012 01.07.2022 um 19:59
Da gibt es sicher eine Formel nur ich verstehe gar nicht was \(\phi\). Eine quadratische Form schreibt man z.B. \(q(x)=x^tAx\).
─
mathejean
01.07.2022 um 20:09
Okay.. Habe mich eben doch nochmal rangesetzt... Und glaube ich habs nun verstanden - wenns denn wirklich so simpel ist.
Ziel ist es, den Ausdruck als Skalarprodukt (bzw. inneres Produkt) von zwei Vektoren zu schreiben.
Ich schreibe nun statt $$x^* = y$$
Also ich habe den Ausdruck:
$$x_1^2y_1^2 + 2x_1y_1x_2y_2 + x_2^2y_2^2$$
Das kann ich als Skalarprodukt der zwei 3d-Vektoren auch so schreiben:
$$(x_1^2,\sqrt2x_1y_1,x_2^2)$$
$$(y_1^2,\sqrt2x_2y_2,y_2^2)$$
Also gings nur darum, die 2 zu zerlegen in dem man einfach Wurzel 2 * Wurzel 2 schreibt.
Das macht für mich - zu später Stunde - zumindest gerade Sinn. :-D
Könnte das so sein?
Sonst: Hier her habe ich den Kram: https://programmathically.com/what-is-a-kernel-in-machine-learning/ ─ milka2012 02.07.2022 um 01:05
Ziel ist es, den Ausdruck als Skalarprodukt (bzw. inneres Produkt) von zwei Vektoren zu schreiben.
Ich schreibe nun statt $$x^* = y$$
Also ich habe den Ausdruck:
$$x_1^2y_1^2 + 2x_1y_1x_2y_2 + x_2^2y_2^2$$
Das kann ich als Skalarprodukt der zwei 3d-Vektoren auch so schreiben:
$$(x_1^2,\sqrt2x_1y_1,x_2^2)$$
$$(y_1^2,\sqrt2x_2y_2,y_2^2)$$
Also gings nur darum, die 2 zu zerlegen in dem man einfach Wurzel 2 * Wurzel 2 schreibt.
Das macht für mich - zu später Stunde - zumindest gerade Sinn. :-D
Könnte das so sein?
Sonst: Hier her habe ich den Kram: https://programmathically.com/what-is-a-kernel-in-machine-learning/ ─ milka2012 02.07.2022 um 01:05