For the vectors A = ux + 3uy + 5uz, B = 2ux + 4uy + 6uz, and C = 3ux + 4uy + 5uz, show that A × ( B × C ) = B ( A ⋅ C ) - C ( A ⋅ B)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 40E
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For the vectors A = ux + 3uy + 5uz, B = 2u+ 4uy + 6uz, and C = 3ux + 4uy + 5uz, show that A × ( B × C ) = B ( A C ) - C ( A  B)

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