If veca satisfies vecaxx(hati+2hatj+hatk...

If `veca` satisfies `vecaxx(hati+2hatj+hatk)=hati-hatk" then " veca` is equal to

A

`lambdahati+(2lambda-1)hatj+lambdahatk,lambda in R`

B

`lambdahati+(1-2lambda)hatj+lambdahatk,lambda in R`

C

`lambdahati+(2lambda+1)hatj+lambdahatk,lambda in R`

D

`lambdahati+(1+2lambda)hatj+lambdahatk,lambda in R`

Text Solution

Verified by Experts

The correct Answer is:

c

`vecaxx(hati + 2hatj + hatk) = hati-hatk= (hatjxx (hati + 2hatj +hatk))`
`or (veca- hatj) xx (hati + 2hatj +hatk) = vec0`
`or veca - hatj = lambda(hati + 2hatj +hatk)`
`or veca=lambdahati+ (2lambda+1) hatj + lambdahatk , lambda in R`

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