Answer
89 units southwest
89 units northwest
Work Step by Step
The question is asking for the addition and subtraction of two vectors. Since the vectors are the same for both addition and subtraction, the magnitude will not change. We can find the magnitude by using Pythagorean's theorem.
$x^{2}=63^{2}+63^{2}$
$x=89$
The addition is southwest because the two vectors are pointing south and west.
The subtraction is northwest because it is equivalent to the addition of north and west.
