Determine whether the following statements are true and give an explanation or counterexample. a. proj v u

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Determine whether the following statements are true and give an explanation or counterexample.

a. projvu = projuv.

b. If nonzero vectors u and v have the same magnitude, they make equal angles with u + v.

c. (u • i)2 + (u • j)2 +  (u • k)2 = |u|2.

d. If u is orthogonal to v and v is orthogonal to w, then u is orthogonal to w.

e. The vectors orthogonal to (1, 1, 1) lie on the same line.

f. If projvu = 0, then vectors u and v (both nonzero) are orthogonal.

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Related Book For  answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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