A) We add up each of the x- and y-coordinates:
x = 0 + 9 = 9
y = 10 + 0 = 10
Therefore, the resultant vector is (9, 10), and the angle is determined as arctan(10/9) = 48.01 degrees.
D) Similarly, the x-coordinate is 7 + 8 = 15, and the y-coordinate is 7 - 6 = 1. Therefore, the angle is determined by arctan(1/15) = 3.81 degrees.
Note that it is easiest when both the x- and y-coordinates are given. However, if only the overall magnitude and angle are given, we would need to use sine and cosine functions to determine the resultants.
