Question

Vectors u and v are shown in the graph. what is projvu?

(note the vertical scale does not match the horizontal scale)

A. 0.195i-0.244j
B. -1.52i-1.30j
C. 1.25i-1.56j
D. 1.52i+1.30j

Answer 1

the answer is A.

proj_vu = ((u . v) / |v|^2) * v

Since the magnitude of vector v (|v|) is shorter than the magnitude of vector u, we know that the projection of u onto v will be smaller than u. The answer A (0.195i - 0.244j) has values that are smaller than u, indicating that it is a projection of u onto v.

Therefore, the answer is A.