Find the angle between each of the pairs of vectors and in exercises 4 through 6.
The angle between and is about .
Consider two nonzero vectors and role="math" localid="1659434098948" in . The angle between these vectors
Is defined as:
Hence, the value of is about .
Leg traction. The accompanying figure shows how a leg may be stretched by a pulley line for therapeutic purposes. We denote by the vertical force of the weight. The string of the pulley line has the same tension everywhere. Hence, the forces role="math" localid="1659529616162" and have the same magnitude as . Assume that the magnitude of each force is 10 pounds. Find the angle so that the magnitude of the force exerted on the leg is 16 pounds. Round your answer to the nearest degree. (Adapted from E. Batschelet, Introduction to Mathematics for Life Scientists, Springer, 1979.)
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