Let v = (V1, V2) be a vector in R². Show that (V2, -v₁) is orthogonal to v, and use this fact to find two unit vectors orthogonal to the given vector. v = (12, 35) (smaller first component) (larger first component)

Let v = (V1, V2) be a vector in R². Show that (V2, -v₁) is orthogonal to v, and use this fact to find two unit vectors orthogonal to the given vector. v = (12, 35) (smaller first component) (larger first component)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.4: Vectors And Dot Products

Problem 4ECP

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Question

Let v = (V1, V2) be a vector in R². Show that (V2, -v₁) is orthogonal to v, and use this fact to find two unit vectors orthogonal to the given vector.
v = (12, 35)
(smaller first component)
(larger first component)

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