The position vectors of the point A, B, ...

The position vectors of the point `A, B, C and D` are `3hati-2hatj -hatk, 2hati+3hatj-4hatk, -hati+hatj+2hatk and 4hati+5hatj +lamda hatk`, respectively. If the points A, B, C and D lie on a plane, find the value of `lamda`.

`143/17`

`-144/17`

`145/17`

`-146/17`

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