The vectors →a×(→b×→c),→b×(→c×→a) and →c×(→a×→b) are
A
Collinear
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B
Coplanar
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C
Like vectors
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D
Linearly independent
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Solution
The correct option is C Coplanar Solving
→a×(→b×→c)=(→a−→c)→b−(→a−→b)→c ________{1}
→b×(→c×→a)=(→a−→b)→c−(→b−→c)→a ________{2} →c×(→a×→b)=(→c−→b)→a−(→c−→a)→b ________{3} Add (1),(2) and (3), we get →a×(→b×→c)+→b×(→c×→a)+→c×(→a×→b)=0 So they are coplanar.