Explanation Given: The three vectors A , B , and D respectively. Use the Cartesian vector formulation to prove A ⋅ ( B + D ) = ( A ⋅ B ) + ( A ⋅ D ) . Use the formulas of Cartesian unit dot vectors. i ⋅ j = i ⋅ k = j ⋅ k = 0 i ⋅ i = j ⋅ j = k ⋅ k = 1 Conclusion: Write the Cartesian vector form of A ⋅ ( B + D ) . A ⋅ ( B + D ) = ( A x i + A y j + A z k ) ⋅ [ ( B x + D x ) i + ( B y + D

13th Edition

ISBN: 9780132915540

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Question

Chapter 2.9, Problem 112P

To determine

To show: That A⋅(B+D)=(A⋅B)+(A⋅D).

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Chapter 2.9, Problem 31FP

Chapter 2.9, Problem 113P

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Chapter 2 Solutions

Engineering Mechanics: Statics

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That A ⋅ ( B + D ) = ( A ⋅ B ) + ( A ⋅ D ) .

To show: That A⋅(B+D)=(A⋅B)+(A⋅D).

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Chapter 2 Solutions