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If any 3 vector a, b, c are coplanar, prove that a+b, b+c, c+a are coplanar.

If any 3 vector a, b, c are coplanar, prove that  a+b, b+c, c+a are coplanar. 

Grade:12

1 Answers

SHIVANSHU
39 Points
6 years ago
[a b c]=0 (given)
to prove [a+b b+c c+a]=0
use result [a+b b+c c+a]=2[a b c]
here [a b c] => scalar triple prod. of a,b,c vectors

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