Let u and v be nonzero vectors in n 2 or n 3, and lei ()

Chapter , Problem 98

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Let u and v be nonzero vectors in n 2 or n 3, and lei () be the angle between u and v. Then u, v. and v - u delermine a triangle. (Sec Figure 6.6.) The relationship between the lengths of the sides of this 1riangle and () is called the law of cosi11es. It states lhat Use I he law or cosines and Theorem 6. I 10 derive I he formula UV = ll ullll vJJ cosO.

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