Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Vector A has a magnitude of 44 and is pointing at an angle a=69° east of north.

ID: 1986592 • Letter: V

Question

Vector A has a magnitude of 44 and is pointing at an angle a=69° east of north. Vector B has a magnitude of 39 and is pointing at an angle b=69° south of west. Find the magnitude and direction of A+B (the sum of two vectors is more commonly known as the resultant vector).

What is the 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

magnitude of res = 65.11units

direction = 47.73 degrees north of west

_A northwesterly direction (second quadrant)