Show that {₁, ₂} is an orthogonal basis for R². Then express x as a linear combination of the u's. U₁ 2 -8 U₂ = 16 and x = 5 -3 SOCCER Which of the following criteria are necessary for a set of vectors to be an orthogonal basis for R²? Select all that apply. A. The vectors must form an orthogonal set. B. The vectors must all have a length of 1. C. The vectors must span R². D. The distance between any pair of distinct vectors must be constant.

Show that {₁, ₂} is an orthogonal basis for R². Then express x as a linear combination of the u's. U₁ 2 -8 U₂ = 16 and x = 5 -3 SOCCER Which of the following criteria are necessary for a set of vectors to be an orthogonal basis for R²? Select all that apply. A. The vectors must form an orthogonal set. B. The vectors must all have a length of 1. C. The vectors must span R². D. The distance between any pair of distinct vectors must be constant.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 45E

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