Find the magnitude and direction angle of the vector v.

Question

v= 8(cos135 degrees i + sin135 degrees J)

I think that the answer is v= 5 and Q = 135. Am I correct?

Answer 1

not quite

v= 8(cos135 degrees i + sin135 degrees J)
= 8(-1/√2, 1/√2)

the magnitude of (-1/√2, 1/√2) is 1
so the magnitude of 8(-1/√2, 1/√2) is 8

Your direction is correct

Answer 2

Thank You!!