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Show that [a×b b×c c×a]=[a b c]^2. Hence show that a,b,c are non coplanar, then a×b, b×c, c×a Are also non planar

Show that [a×b b×c c×a]=[a b c]^2. Hence show that a,b,c are non coplanar, then a×b, b×c, c×a  Are also non planar

Grade:12th pass

2 Answers

Arun
25763 Points
3 years ago

Given data is,

[a×b b×c c×a]

According to multiplication rule we can say that,

[a×a b×b c×c]

=[a² b² c²]

=[abc]² ,proved

Deepak Kumar Shringi
askIITians Faculty 4405 Points
3 years ago
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