Answered: Where v is a vector. If v in R3 and v ·…

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Where v is a vector. If v in R3 and v · v = 0, then v is the zero vector. True or false. Explain please.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.1: Vector In R^n

Problem 27E: Determine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)

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Question

Where v is a vector. If v in R3 and v · v = 0, then v is the zero vector. True or false. Explain please.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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