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4 a) Three non-zero vectors are coplanar if (a × b¯)•c = 0. Explain how/why this test for coplanar vectors works. b) Determine the possible value(s) of k, such that the vectors a= [0,k,4], b = [3,0,2] and c = [k,3,6] are coplanar.

4 a) Three non-zero vectors are coplanar if (a × b¯)•c = 0. Explain how/why this test for coplanar vectors works. b) Determine the possible value(s) of k, such that the vectors a= [0,k,4], b = [3,0,2] and c = [k,3,6] are coplanar.

Elementary Linear Algebra (MindTap Course List)
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 24CM
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4 a) Three non-zero vectors are coplanar if (a × b¯)•c = 0. Explain how/why this test for coplanar vectors works. b) Determine the possible value(s) of k, such that the vectors a = [0,k,4], ☎ = [3,0,2] and c = [k,3,6] are coplanar.
Transcribed Image Text:4 a) Three non-zero vectors are coplanar if (a × b¯)•c = 0. Explain how/why this test for coplanar vectors works. b) Determine the possible value(s) of k, such that the vectors a = [0,k,4], ☎ = [3,0,2] and c = [k,3,6] are coplanar.
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On another source it suggests that K is equal to 3/2, can you please verify that this answer is actually correct 

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