A vector has an x-component of −21.0units and a y-component of 36.5 units. Find the magnitude and direction of the vector.

2 answers

X = hor. = -21 Units.
Y = ver. = 36.5 Units.

tanA = y/X = 36.5 / -21 = -1.738,
A = -60 deg. = -60 + 180 = 120 deg.,CCW.

R = X / cosA = -21 / cos(120) = 42. @ -60 deg. = -60 + 180 = 120 deg. =CCW.

R = (42,120deg.).
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