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If the scalar triple product of the vect...

If the scalar triple product of the vectors `-3hati+7hatj-3hatk,3hati-7hatj+lamdahatk and 7hati-5hatj-3hatk` is 272 then `lamda`= . . .

A

9

B

11

C

8

D

10

Text Solution

Verified by Experts

The correct Answer is:
B

Scalar triplee product of the given vectors is 272.
`therefore|(-3,7,-3),(3,-7,lamda),(7,-5,-3)|=272 " "(because" scalar triple product of the vectors a,b and c is [a b c]")`
`implies-3(21+5lamda)-7(-9-7lamda)-3(-15+49)=272`
`implies-63-15lamda+63+49lamda-102=272`
`implies34lamda-102=272implies34lamda=374implieslamda=11`
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