# Vectors, Work and Orthogonal Vectors

Find the small positive angle from the positive X-axis to the vector OP that corresponds to (3,3)

Find the work done by the constant force 4i-2j if the point of application moves along the line segment from P(1,1) to Q(5,7)

Determine m such that the two vectors 3i-9j and mi+2j are orthogonal

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#### Solution Preview

Find the small positive angle from the positive X-axis to the vector OP that corresponds to (3,3)

Solution. Assume that the angle is alpha. Then we have

tan(alpha)=3/3=1

So, alpha=45 degrees

Find the work ...

#### Solution Summary

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