Let u= <3,1> and v=<6,-1>

A. what is the angle between u and v?

B. find projvU

C. reoslve u into u1 parallel to v abd U2 perpendicular to v.

2 answers

u dot v = |u| |v| cosØ where Ø is the angle between them

18-1 = √10√37cosØ
cosØ = 17/√370
Ø = cos^-1 (17/√370) = appr 27.9°

your B and C are undecipherable
B. find projected vU

C. resolve u into u1 parallel to v and U2 perpendicular to v.