This exercise gives another proof of the relation between the dot product and the angle

Chapter 12, Problem 93

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This exercise gives another proof of the relation between the dot product and the angle between two vectors v = a1, b1 and w = a2, b2 in the plane. Observe that v = v cos 1,sin 1 and w = w cos 2,sin 2, with 1 and 2 as in Figure 24. Then

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