#### 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.