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

The position vectors of the point `A ,B ,C and D` are `3 hat i-2 hat j- hat k ,2 hat i+3 hat j-4 hat k ,- hat i+ hat j+2 hat k` and 4` hat i+5 hat j+lambda hat k ,` respectively. If the points `A ,B ,C and D` lie on a plane, find the value of `lambda`.

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