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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`.

A

`- 146/17`

B

`-137/17`

C

`-154/17`

D

`-162/17`

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