Let (0, 2, 8) and a = (6, 1, 5). Compute the projection of b onto a. proja 6126 21 105 31'31' 31 E) Compute the orthogonal projection of 6 onto ā. orth b 126 62 233 31'31 31 B x

Compute the orthogonal projection of u onto v. Use the square root symbol 'V" where needed to give an exact value for your answer. 3 -2 10 7 =| 2 -3 -2 projzu = |0

When A is multiplied by a plane rotation Qij, which entries of A are changed? When QiJA is multiplied on the right by Q-;/, which entries are changed now?

Let 7 = -27+ 3 +2k and w = 3 7 +23 - k. (a) Compute the vector projection of w onto 7, proj-w. (b) Compute the scalar projection of w onto , comp- w.

Find the projection of u = onto v = . projuv =

Compute the orthogonal projection of u onto v. Use the square root symbol'V' where needed to give an exact value for your answer. -1 10 -1 proji =0 0.

Compute the orthogonal projection of 7 = projz (7) = 8 onto the line L through and the origin.

Let S be the parallelogram then determine the area of parallelogram by the vectors [h | 1 and let A = h and [0 h+1] h=102 Also compute the area of the image of parallelogram under the linear transformation ""

Compute the Binary distance between vectors [2, 1, 0] and [8, 5, 0]. Selected Answer: Correct Answer:

Let m (1, 2, 3) and n (5, 3,-2). Find the vector projection of m onto n, that is, find proj- m. You do not need to simplify (radicals in denominators are okay).