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If the magnitudes of vectors a, b and c are a,b and c respectively and [a b c]=abc, then prove that a.b=b.c=c.a=0

If the magnitudes of vectors a, b and c are a,b and c respectively and [a b c]=abc, then prove that a.b=b.c=c.a=0

Grade:12

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
[a b c] = a . (b x c) =  a b c sin theta cos phi
 
now this is equal when angle b/w b and c is theta and it is 90
 
hence b. c = 0
 
similarily it can be proved for others also

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