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Name: Consider three vectors A = 13.1i + 3.9j, B = 8.9i + 9.1j, and C = -2.1
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Description: Consider three vectors A = 13.1i + 3.9j, B = 8.9i + 9.1j, and C = -2.1i - 16.8j.Part (a) What is the result of 2A⋅(B - 3C)? Part (b) What is the result of A⋅A + B⋅B + C⋅C?

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Consider three vectors A = 13.1i + 3.9j, B = 8.9i + 9.1j, and C = -2.1i - 16.8j. Part (a) What is the result of 2A⋅(B - 3C)? Part (b) What is the result of A⋅A + B⋅B + C⋅C?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 4CQ: (a) For what values of the angle between two vectors is their scalar product positive? (b) For what...

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Consider three vectors A = 13.1i + 3.9j, B = 8.9i + 9.1j, and C = -2.1i - 16.8j.

Part (a) What is the result of 2A⋅(B - 3C)?

Part (b) What is the result of A⋅A + B⋅B + C⋅C?

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Problem 20: Assume you have two vectors, A = 7.1i + 3.9j and an unknown vector B with length 3.2. In this problem, you must assume that both components of B are positive, Bx > 0, and By > 0. Part (a) If the scalar product of these two vectors is A⋅B = 16.3, what is the x-component of the vector B? You may assume that Bx > 0. Part (b) What is the y-component of the vector B? Again, assume By > 0.
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