Explanation:
1. A+B=Just add the J hat with J hat and add the I hat with the I hat.
A-B=
2. Take the magnitude of A+B
So the magnitude is root of 40.
So the magnitude of A+B is
The magnitude of A-B
So the magnitude is
c. To find direction, we need to find the angle.
Use this rule,
For A+B, we get
Since this is a southeast, the degree is 288.43.
The direction is southeast, 288.43 degrees
For A-B, we get
Since this is northeast, the degree is 45 degrees.
The direction is northeast, 45 degrees.