11. Given vectors ū = [3, −2, −6] and, v = [4, 1, −3], find the following: a) a vector perpendicular to both vectors ū and v. b) the projection of ū on v.

Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of its length. b u has the direction opposite that of v and twice its length.

For the vector v=(2,1), sketch a 2v, b 3v, and c 12v.