Answer problem 4, 5, and 6.

Displacement vector A is 4.5 km, north. Displacement vector B is 3.0 km, 50" north of west. Find the resultant displacement using the laws of sines and cosines. 5. Find the resultant of the following forces by component method: F, = 12 N, south; F, = 24 N.30' north of west; F, = 15 N. 75. south of west; and F. = 32 N. 50 south of west. 6. Given the two vectors A = 31 - 4) + 5 k and B = 47 - 2) + 3k, find (a) A+ B. (b) A - B. (c) 0.58. (d) A . B, (e) A x B, and (f) the angle between vectors A and B