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If vec a , vec ba n d vec c are unit co...

If ` vec a , vec ba n d vec c` are unit coplanar vectors, then the scalar triple product `[2 vec a- vec b2 vec b- vec c2 vec c- vec a]` is `0` b. `1` c. `-sqrt(3)` d. `sqrt(3)`

A

0

B

1

C

`-sqrt3`

D

`sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
a
`veca vecb and vecc` are unit coplanar vectors, `2veca- vecb , 2vecb - 2vecc and 2vecc - veca` are also coplanar, vectors ], being a linear combination of `veca , vecb and vecc` thus ` [ 2 veca - vecb 2vecb - vecc 2vecc - veca] =0`
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CENGAGE PUBLICATION-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -single correct answer type
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