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If 4 vec a+5 vec b+9 vec c=0, then ( vec...

If `4 vec a+5 vec b+9 vec c=0,` then `( vec axx vec b)xx[( vec bxx vec c)xx( vec cxx vec a)]` is equal to a. vector perpendicular to the plane of`a ,b ,c` b. a scalar quantity c. ` vec0` d. none of these

A

a vector perpendicular to the plane of `veca, vecb and vecc`

B

a scalar quantity

C

`vec0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
`4 veca + 5 vecb + 9 vecc =0`
`Rightarrow "vcectors" veca,vecb and vecc` are coplanar.
`Rightarrow vecb xx vecc and vecc xx veca` are collinear.
`Rightarrow (vecb xx vecc) xx (vecc xx veca) = vec0`
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