Thinking 21. Given x = (2,5), ỷ = (-5, 12) find the scalar projection of x on ỷ. 22. If (-1, 3, 5) x (0, a, 1) = (-2, 1, -1), determine a.▸ 23. Given = [1, 7, 9] and, v = [-2, 5, -3] and w = [4, -6, 8]. a) Find the angle between v and w. b) Are the vectors u and v and w coplanar? Show your answer algebraically.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
Question
Thinking
21. Given x = (2,5), ỷ = (-5, 12) find the scalar projection of x on ỷ.
22. If (-1, 3, 5) x (0, a, 1) = (-2, 1, -1), determine a.▸
23. Given = [1, 7, 9] and, v = [-2, 5, -3] and w = [4, -6, 8].
a) Find the angle between v and w.
b) Are the vectors u and v and w coplanar? Show your answer algebraically.
Transcribed Image Text:Thinking 21. Given x = (2,5), ỷ = (-5, 12) find the scalar projection of x on ỷ. 22. If (-1, 3, 5) x (0, a, 1) = (-2, 1, -1), determine a.▸ 23. Given = [1, 7, 9] and, v = [-2, 5, -3] and w = [4, -6, 8]. a) Find the angle between v and w. b) Are the vectors u and v and w coplanar? Show your answer algebraically.
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