3. Let 7 and w be vectors such that v=(2, 2, -1), |||| = √2, vw=-3, and × = (2,-1, 2). a. If u = (-2m, 2m - 2, -m²), find all possible values of m so that u is perpendicular to 7. b. Find 2 vectors 7₁ and 72 of length 6 orthogonal to both ở and w. C. Determine the projection of w onto 7.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 9T
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3. Let 7 and w be vectors such that
7= (2,2, -1),
||w|| = √2,
7-3, and x = (2,-1, 2).
a. If u = (-2m, 2m - 2, -m²), find all possible values of m so that u is perpendicular to 7.
b. Find 2 vectors ₁ and 2 of length 6 orthogonal to both 7 and w.
C. Determine the projection of w onto v.
Transcribed Image Text:3. Let 7 and w be vectors such that 7= (2,2, -1), ||w|| = √2, 7-3, and x = (2,-1, 2). a. If u = (-2m, 2m - 2, -m²), find all possible values of m so that u is perpendicular to 7. b. Find 2 vectors ₁ and 2 of length 6 orthogonal to both 7 and w. C. Determine the projection of w onto v.
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