Magnitude of the resultant vector? What direction is the resultant vector pointi

Question

Magnitude of the resultant vector?

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'.?

Explanation / Answer

21sin41 = 13.78 east
21cos41 = 15.85 north

34sin36 =19.98 south
34cos36 = 27.5west

sum the components, this leaves
13.72 west, 4.13 south

magnitude = (13.722 + 4.132) = 14.33

direction = tan-1(4.13/13.72) =16.75 degrees south of west

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