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What is a unit vector perpendicular to the given vector a=2i-2j+k and b=3i+4j-5k. Calculate sine angle between these vectors.

What is a unit vector perpendicular to the given vector a=2i-2j+k and b=3i+4j-5k. Calculate sine angle between these vectors.

Grade:11

2 Answers

Chetan Mandayam Nayakar
312 Points
11 years ago

unit vector= (aXb)/laXbl, sine angle=(aXb)/(lallbl)

Nimon B
63 Points
11 years ago

Any vector perpendicular to any two vectors is their cross-product. So take the cross product of a and b and if it a unit vector, then its magnitude is 1. So u can easily find it.

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