-(2) Find the equation for the set of all points whose distance from (-3,2,-1) is 4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...
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1. (2) Find the equation for the set of all points whose distance from (-3, 2, –1) is 4
2. (5) Let i = < 1, 2, 4 > and ü =< 0,3, –1>
a) Sketch the vectors u,v and vector projection of u onto v.
b) Give the component form of the vector projection of u onto v.
3. (5) Find the point where the line passing through ( 2, 1, –2) and (1,4, –1)
intersects the plane 3x + 2y - z = 4 .
4. (5) Find the equation of the plane passing through the points. Simplify the equatior
(2,0,1), (1,-2,0) and (-1,0,0)
Transcribed Image Text:1. (2) Find the equation for the set of all points whose distance from (-3, 2, –1) is 4 2. (5) Let i = < 1, 2, 4 > and ü =< 0,3, –1> a) Sketch the vectors u,v and vector projection of u onto v. b) Give the component form of the vector projection of u onto v. 3. (5) Find the point where the line passing through ( 2, 1, –2) and (1,4, –1) intersects the plane 3x + 2y - z = 4 . 4. (5) Find the equation of the plane passing through the points. Simplify the equatior (2,0,1), (1,-2,0) and (-1,0,0)
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