Vector A has a magnitude of 44 and is pointing at an angle a=55 east of north. V

Question

Vector A has a magnitude of 44 and is pointing at an angle a=55 east of north. Vector B has a magnitude of 20 and is pointing at an angle b=16 south of west. Find the magnitude and direction of A+B (the sum of two vectors is more commonly known as the resultant vector).

Magnitude of the resultant vector
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What direction is the resultant vector pointing in?
It has no magnitude so the direction is irrelevant.
Due east (along the positive x-axis)
Due north (along the positive y-axis)
Due west (along the negative x-axis)
Due south (along the negative y-axis)
A northeasterly direction (first quadrant)
A northwesterly direction (second quadrant)
A southwesterly direction (third quadrant)
A southeasterly direction (fourth quadrant)
..

What is the angle between the resultant vector and the horizontal? If the magnitude of the resultant is zero, then enter 'none'.
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Explanation / Answer

-20.6 i + 0.313 j ~ 20.6 along negative x axis

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