#### Answer

a. B-A = (-53.67 units, 1.31 units)
b. A-B = (53.67 units, -1.31 units)

#### Work Step by Step

a. Use equations 3.3a and 3.3b to find the x and y components. Vector B points at 124 degrees from the positive x-axis.
Vector A = (38.85, 20.66)
Vector B = (-14.82, 21.97)
Take the difference by subtracting corresponding components.
B-A = (-53.67 units, 1.31 units)
b. Again, take the difference by subtracting corresponding components.
A-B = (53.67 units, -1.31 units)
The vectors are opposite, as expected.