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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:
2

Vector `a=hati+2hatj-hatk,b=2hati-hatj+hatk,c=lamdahati+hatj+2hatk` are coplanar.
`implies |(1,2,-1),(2,-1,1),(lamda,1,2)|=0` or `lamda-3+2(-5)=0 ` or `lamda=13`.
Number of digits in value of `lamda` is 2.
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