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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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