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For any non zero vector, a,b,c a*[(b+c...

For any non zero vector, a,b,c
`a*[(b+c)xx(a+b+c)]=`. . . .

A

`0`

B

2[a b c]

C

[a b c]

D

[a c b]

Text Solution

Verified by Experts

The correct Answer is:
A
We have, `a*[(b+c)xx(a+b+c)]`
`=a*[(bxxa+bxxb+bxxc+cxxa+cxxb+cxxc)]`
`=a*[(bxxa)+(bxxc)+(cxxa)+(cxxb)]`
`=a[(bxxa)+(bxxc)+(cxxa)-(bxxc)]`
`=a[(bxxa)+(cxxa)]`
`=["a b c"]+["a c a"=0+0=0`
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