Consider the vector 4 v = 4 Find two vectors w1, w2 ER° such that: • Both w1 and w2 are orthogonal to v. • w1 and w2 are linearly independent. Enter the vector w1 in the form [c1, c2, C3]: Enter the vector w2 in the form [d1 , d2 , d3]:

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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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...
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Consider the vector
4
v =
4
Find two vectors w1, w2 ER° such that:
• Both w1 and w2 are orthogonal to v.
• w1 and w2 are linearly independent.
Enter the vector w1 in the form [c1, c2, C3]:
Enter the vector w2 in the form [d1 , d2 , d3]:
Transcribed Image Text:Consider the vector 4 v = 4 Find two vectors w1, w2 ER° such that: • Both w1 and w2 are orthogonal to v. • w1 and w2 are linearly independent. Enter the vector w1 in the form [c1, c2, C3]: Enter the vector w2 in the form [d1 , d2 , d3]:
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