In Exercises 1–8, find the length and direction (when defined) of u X v and v X u. 1. u = 2i – 2j – k, v = i – k

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 10EQ: In Exercises 7-12, find u for the given exercise, and give a unit vector in direction of u. Exercise...
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In Exercises 1-8, find the length and direction (when defined) of
u X v and v X u.
1. u = 2i – 2j – k, v = i – k
2. u = 2i + 3j, v = -i + j
3. u = 2i – 2j + 4k, v = -i + j – 2k
%3D
V
4. u = i + j - k, v = 0
5. u = 2i, v = -3j
6. u = i X j, v = j X k
7. u = -8i – 2j – 4k, v = 2i + 2j + k
||
V
%3D
3
8. u = ži -j + k, v = i +j+ 2k
Transcribed Image Text:In Exercises 1-8, find the length and direction (when defined) of u X v and v X u. 1. u = 2i – 2j – k, v = i – k 2. u = 2i + 3j, v = -i + j 3. u = 2i – 2j + 4k, v = -i + j – 2k %3D V 4. u = i + j - k, v = 0 5. u = 2i, v = -3j 6. u = i X j, v = j X k 7. u = -8i – 2j – 4k, v = 2i + 2j + k || V %3D 3 8. u = ži -j + k, v = i +j+ 2k
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