Explanation Given: v = 12 i − 5 j and w = − 3 i − 4 j Formula used: The angle θ is calculated as cos θ = v ⋅ w | v | | w | Calculation : The dot product of two non-zero vectors v and w is v ⋅ w = | v | | w | cos θ The magnitude of vectors v and w is | v | = 12 2 + ( − 5 ) 2 = 169 = 13 | w | = ( − 3 ) 2 + ( − 4 ) 2 = 25

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ISBN: 9781259984099

Author: Miller

Publisher: MCGRAW-HILL HIGHER EDUCATION

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Chapter 8.5, Problem 36PE

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To find: The value of angle θ between two given vectors

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Chapter 8.5, Problem 35PE

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The value of angle θ between two given vectors

Solution Summary: The author calculates the value of angle theta between two given vectors.

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