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Let veca and vecc be unit vectors inclin...

Let `veca` and `vecc` be unit vectors inclined at `pi//3` with each other. If `(veca xx (vecb xx vecc)). (veca xx vecc)=5`, then `[vecavecbvecc]` is equal to

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-VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS-DPP 2.4
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