Let v= (4,5,8) and w=(-10,-8,9) be vectors. Find the scalar component of v in the direction of w. Also, write v as a sum of two vectors, one of which is parallel to w and the other of which is perpendicular to w.

Let v= (4,5,8) and w=(-10,-8,9) be vectors. Find the scalar component of v in the direction of w. Also, write v as a sum of two vectors, one of which is parallel to w and the other of which is perpendicular to w.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 13CR

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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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