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if a b c are three non zero vectors then prove that [a b c]^2 =a^2b^2c^2.

if a b c are three non zero vectors then prove that [a b c]^2 =a^2b^2c^2.

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
[a b c]2 = {a. (b X c)}2
 
 = a2 (b X c)2 cos theta
 = a2 b2 c2 cos theta sin alpha
 
 =  if we find mod
then 
 =  a2 b2 c2
 
Regards
Arun (askIITians forum expert)

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