Consider the following. u = 6i – j - k, v = -i + 5j + 3k (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
Question
Consider the following.
u = 6i – j - k,
v = -i + 5j + 3k
(a) Find the projection of u onto v.
(b) Find the vector component of u orthogonal to v.
Transcribed Image Text:Consider the following. u = 6i – j - k, v = -i + 5j + 3k (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v.
Determine whether the lines are parallel or identical.
X - 8
y + 9
z + 4
4
-5
X + 4
ソ-6
10
z + 13
%3D
-8
-6
The lines are parallel.
The lines are identical.
3.
Transcribed Image Text:Determine whether the lines are parallel or identical. X - 8 y + 9 z + 4 4 -5 X + 4 ソ-6 10 z + 13 %3D -8 -6 The lines are parallel. The lines are identical. 3.
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