1 Find the orthogonal projection of u onto , where u = 1 2 and = 3 2 -4 3

Q: The vector projection of M = 2ax + 3ay + 2az onto P = 3ax + 2ay + 3az is

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Q: What is the scalar projection of vector a given by (a₁,a2,a3) in the direction of vector b given by…

A: We have to find the scalar projection of a in the direction of b.

Q: Compute the orthogonal projection of v= 7 onto the line through 4 2 and the origin.

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Q: Find the bilinear transformation which maps the points (-1,0,1) into points (0,i,3i)

A: the bilinear transformation which maps the points (-1,0,1) into points (0,i,3i)

Q: Compute the orthogonal projection of [] 8 The orthogonal projection is (Simplify your answer.) onto…

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Q: 1 ··· 7. Compute the orthogonal projection of origin. onto the line through A- 2 and the

A: Let us denote the vector 17 by u. The line through the vector -42 and the origin is spanned by the…

Q: Given vectors u and v below, find a such that u and v are orthogonal. [-20, –4] v = [a, –25] u = a =…

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Q: Find the bilinear transformation whose fixed points are 1,i and maps 0 to -1.

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Q: 5. Find the orthogonal projection of the vector b = vectors V₁ = 3 and v₂ = -1- 2 onto the subpace E…

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Q: Find the projection projuv, where u = (1,3,-2) and v = (2,-1,3).

A: Since we kow that the projection of v on u is given by                projuv=u.v||u||2u

Q: Let y = T-97 –3 and i = 5 7 4 -2 Write y as the sum of two orthogonal vectors, ₁ in Span {u} and 2…

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