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If vec( a) , vec( b) , vec( c ) are non...

If `vec( a) , vec( b) , vec( c ) ` are non coplanar non-zero vectors such that `vec( b) xxvec( c) = vec( a ), vec( a ) xx vec( b) =vec( c ) ` and `vec( c ) xx vec( a ) = vec ( b ) ` , then which of the following is not true

A

`| vec( a) | =1`

B

`[ vec( a ) vec( b ) vec( c ) ] =1`

C

`| vec( a) | + |vec( b)| +| vec( c ) | =3`

D

`| vec( a) | cancel(=) |vec( b)| cancel(=)| vec( c ) | `

Text Solution

Verified by Experts

The correct Answer is:
D
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