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if A,B,C are mutually perpendicular prove that C×(A×B)=0 Also A,B,C are vectors

 
if A,B,C are mutually perpendicular
 
prove that 
C×(A×B)=0
Also A,B,C are vectors

Grade:9

2 Answers

Vijay Mukati
askIITians Faculty 2590 Points
8 years ago
Dear Student, If A, B and C are mutually perpendicular then, A x B will be the vector perpendicular to both A and B i.e. C only. Now C x C = 0 because the cross product of two same vectors is zero. Thanks.
Ankit Jaiswal
165 Points
8 years ago
If A, B and C are mutually perpendicular then, A x B will be the vector perpendicular to both A and B i.e. C only. Now C x C = 0 because the cross product of two same vectors is zero. Thanks.

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