Explanation The vectors A → and B → are shown in Figure P9.21. From the diagram, the vectors A → and B → can be written in component form as, A → = 2.0 i ^ + 5.0 j ^ B → = − 4.0 i ^ − 3.0 j ^ Write the expression for the magnitude of the vector A → and magnitude of B → . A = A x 2 + A y 2 (I) B = B x 2 + B y 2 (II) Here, A x and B x are the x components of the vectors A → and B → respectively, and A y and B y are the y components of the vectors A → and B → respectively. Write the expression for the angle that the vectors make with the positive x axis. θ A = tan − 1 ( A y A x ) (III) θ B = tan − 1 ( B y B x ) (IV) Here, θ A is the angle that the vector A → make with the positive x axis, and θ B is the angle that the vector B → make with the positive x axis. Write the expression for the angle ( θ ) between the two vectors A → and B → . θ = θ B − θ A (V) Write the expression for the dot product of the two vectors A → and B → . D = A → ⋅ B → = A B cos θ (VI) Conclusion: Substitute 2.0 for A x , and 5

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ISBN: 9780100546714

Author: Katz

Publisher: YUZU

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Instantaneous Power

Power is defined in physics as the amount of energy transmitted or transformed per unit time. The watt is the unit of electricity in the International System of Units, equivalent to one joule per second.

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Chapter 9, Problem 21PQ

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To compute the dot product D=A→⋅B→.

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Chapter 9, Problem 20PQ

Chapter 9, Problem 22PQ

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Chapter 9 Solutions

EBK PHYSICS FOR SCIENTISTS AND ENGINEER

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To compute the dot product D = A → ⋅ B → .

Solution Summary: The author explains how to compute the dot product D=stackrelto Acdot

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To compute the dot product D=A→⋅B→.

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Chapter 9 Solutions