1. Given the vector u = (2,0, 1). (a) Solve for the value of a so that u and i = (a, 2, a) form a 60° angle. (b) Find a vector of magnitude 2 in the direction of u- w, where w = (3, 1, –2).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 44E
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1. Given the vector u = (2,0, 1).
(a) Solve for the value of a so that u and U = (a, 2, a) form a 60° angle.
(b) Find a vector of magnitude 2 in the direction of u- w, where w
= (3, 1, –2).
Transcribed Image Text:1. Given the vector u = (2,0, 1). (a) Solve for the value of a so that u and U = (a, 2, a) form a 60° angle. (b) Find a vector of magnitude 2 in the direction of u- w, where w = (3, 1, –2).
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