Vectors u and v are given by their coordinates in an orthonormal basis {i, j,k): u = (1, - 3, 3); v = (2, 3, 4). Find: i. the orthogonal vector projection of u onto v; i. an angle between u and v - u .
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The orthogonal vector projection of u onto v is (1, -3, 3). Show more…
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Supreeta N.
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Find the projection of u onto v. Then write $u$ as the sum of two orthogonal vectors, one of which is proj, u. $$\begin{aligned} &\mathbf{u}=\langle- 3,-2\rangle\\ &\mathbf{v}=\langle- 4,-1\rangle \end{aligned}$$
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