5. The vectors i = [1,0,0], j = [0,1,0] and = [0,0,1], are all perpendicular to each other. Determine 3 vectors a, b, and c, none of which are parallel to i,jork such that a, b, and c, are all perpendicular to each other. Justify your answer.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please explain how to do this question. Also explain how you know the vectors made are not parallel with the given vectors. 

5. The vectors i = [1,0,0], j = [0,1,0] and k = [0,0,1], are all perpendicular to each other. Determine 3
vectors a, b, and c, none of which are parallel to ī, jork such that a, b, and c, are all perpendicular
to each other. Justify your answer.
Transcribed Image Text:5. The vectors i = [1,0,0], j = [0,1,0] and k = [0,0,1], are all perpendicular to each other. Determine 3 vectors a, b, and c, none of which are parallel to ī, jork such that a, b, and c, are all perpendicular to each other. Justify your answer.
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