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Let a and c be unit vectors inclined at ...

Let a and c be unit vectors inclined at `(pi)/(3)` with each other. If `(atimes(btimesc))*(atimesc)=5`, then -[a b c]-1 =

A

`-10`

B

`-5`

C

`-20`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`(veca xx (vecb xx vecc)). (veca xx vecc)=5`
`(veca.vecc)vecb-(veca.vecb)vecc.(veca xx vecc)=5`
`rArr [veca.vecbvecc]=-10`
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CENGAGE ENGLISH-VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS-DPP 2.4
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