Given u = −3i + 5j and v = −24i + 40j, are u and v parallel or orthogonal? Explain.  a The vectors are orthogonal because cos θ = 1.  b The vectors are orthogonal because u ⋅ v = 0.  c The vectors are parallel because cos θ = 1.  d The vectors are parallel because u ⋅ v = 0.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 1CM
Question

Given u = −3i + 5j and v = −24i + 40j, are u and v parallel or orthogonal? Explain.

 a

The vectors are orthogonal because cos θ = 1.

 b

The vectors are orthogonal because u  v = 0.

 c

The vectors are parallel because cos θ = 1.

 d

The vectors are parallel because u  v = 0.

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