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If vectors veca =hati +2hatj -hatk, vecb...

If vectors `veca =hati +2hatj -hatk, vecb = 2hati -hatj +hatk and vecc = lamdahati +hatj +2hatk` are coplanar, then find the value of `(lamda -4)`.

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The correct Answer is:
9
Vector `veca = hati + 2hatj -hatk, vecb = 2hati -hatj +hatk, vecc = lamda hati + hatj + 2hatk ` are coplanar
`rArr |{:(1,,2,,-1),(2,,-1,,1),(lamda,,1,,2):}|=0`
or `lamda -3 + 2(-5)=0`
or `lamda = 13`
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