6. Let u = (1, 0, 2) and v = (2, -2, 1). 6.1. Determine 2 u-3 v in component form. 6.2. Find a unit vector that points in the same direction as v. 6.3. What is the angle between u and v?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 31E
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6. Let u = (1, 0, 2) and v = (2, -2, 1).
6.1. Determine 2 u- 3 v in component form.
6.2. Find a unit vector that points in the same direction as v.
6.3. What is the angle between u and v?
6.4. Find a vector that is perpendicular to both u and v.
Transcribed Image Text:6. Let u = (1, 0, 2) and v = (2, -2, 1). 6.1. Determine 2 u- 3 v in component form. 6.2. Find a unit vector that points in the same direction as v. 6.3. What is the angle between u and v? 6.4. Find a vector that is perpendicular to both u and v.
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