# Vectors

What is the resultant force of an object if there are forces of 70 lbs at an angle 90 degrees N of west, 55lbs at an angle of 63 degrees S of west, and 42 lbs at an angle of 158 degrees N of east?

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#### Solution Preview

Let East direction be the positive x axis and North the positive y axis

Component is the horizontal (x) direction = (Magnitude) x (Cos phi)

Component is the vertical (y) direction = (Magnitude) x (Sin phi)

a) 70 LBS AT AN ANGLE 90 DEGREES N OF WEST

90 degrees N of West is also 90 degrees from the positive x direction

Magnitude = 70 ...

#### Solution Summary

Finds the resultant force.

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