Answered: Which of the following are orthogonal…

Which of the following are orthogonal sets of vectors? (a){(1, -1, 2),(0, 2, -1),(-1, 1, 1)} (b){(1, 2, -1, 1),(0, -1, -2, 0),(1, 0, 0, -1)} (c){(0, 1, 0, -1),(1, 0, 1, 1),(-1, 1, -1, 2)}

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 10E

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Question

Which of the following are orthogonal sets of vectors?

(a){(1, -1, 2),(0, 2, -1),(-1, 1, 1)}

(b){(1, 2, -1, 1),(0, -1, -2, 0),(1, 0, 0, -1)}

(c){(0, 1, 0, -1),(1, 0, 1, 1),(-1, 1, -1, 2)}

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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