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Consider the vectors u (6,6V3) and i = (5,0). %3D (i) Find the size of the acute angle 0 between u and u. (ii) If w is orthogonal to u and has the same magnitude as ū, find the two possibilities for the vector w. w = w = (iii) If p is orthogonal to i and has the same magnitude as , find the two possibilities for the vector p. p =

Consider the vectors u (6,6V3) and i = (5,0). %3D (i) Find the size of the acute angle 0 between u and u. (ii) If w is orthogonal to u and has the same magnitude as ū, find the two possibilities for the vector w. w = w = (iii) If p is orthogonal to i and has the same magnitude as , find the two possibilities for the vector p. p =

Elementary Linear Algebra (MindTap Course List)
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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Consider the vectors u = (6, 6/3) and = (5,0). (i) Find the size of the acute angle 0 between u and i. 0 : (ii) If w is orthogonal to u and has the same magnitude as ū, find the two possibilities for the vector w. (iii) If p is orthogonal to i and has the same magnitude as i, find the two possibilities for the vector p. p = II II 13
Transcribed Image Text:Consider the vectors u = (6, 6/3) and = (5,0). (i) Find the size of the acute angle 0 between u and i. 0 : (ii) If w is orthogonal to u and has the same magnitude as ū, find the two possibilities for the vector w. (iii) If p is orthogonal to i and has the same magnitude as i, find the two possibilities for the vector p. p = II II 13
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