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Let vec a , vec ba n d vec c be three n...

Let ` vec a , vec ba n d vec c` be three non-coplanar vecrors and ` vec r` be any arbitrary vector. Then `( vec axx vec b)xx( vec rxx vec c)+( vec bxx vec c)xx( vec rxx vec a)+( vec cxx vec a)xx( vec rxx vec b)` is always equal to `[ vec a vec b vec c] vec r` b. `2[ vec a vec b vec c] vec r` c. `3[ vec a vec b vec c] vec r` d. none of these

A

`[veca vecb vec c]vecr`

B

`2[veca vecb vec c]vecr`

C

`4[veca vecb vec c]vecr`

D

`vec0`

Text Solution

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The correct Answer is:
B
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