Question

U = 9i – 6j
v = 7i + 4j
A) 63.43°
C) 173.66°
B) 109.48°
D) 101.31°

Answer 1

9514 1404 393

Answer:

A) 63.43°

Explanation:

The two vectors in polar form are ...

u = (√(9²+6²))∠arctan(-6/9) = √117∠-33.69°

v = (√(7²+4²))∠arctan(4/7) = √65∠29.74°

The angle between the two vectors is ...

29.74° -(-33.69°) = 63.49°