If a = 2i+j-k, b=-i+2k, and c=i+2j-2k, (i) Find a unit vector perpendicular to the plane of a and b. (ii) Verify that a×(b×c)=(a.c)b-(a.b)c

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 34CT: Find a unit vector u in the direction of v=i+j
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1.(a)
If a = 2i + j-k, b=-i+2k, and c=i+2j-2k,
(i) Find a unit vector perpendicular to the plane of a and b .
(ii) Verify that a×(b×c)=(@.c)b-(a.b)¢
Transcribed Image Text:1.(a) If a = 2i + j-k, b=-i+2k, and c=i+2j-2k, (i) Find a unit vector perpendicular to the plane of a and b . (ii) Verify that a×(b×c)=(@.c)b-(a.b)¢
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