Using vectors, find the value of `lambda` such that the points `(lambda,-10,3),(1,-1,3)a n d(3,5,3)` are collinear.

Explanation

Let the given points be

`A(λ,−10,3),B(1,−1,3)andC(3,5,3)`

`AB=(i−j+3k)−(λi−10j+3k)=(1−λ)i+9j`


​`AC=(3i+5j+3k)−(λi−10j+3k)=(3−λ)i+15j
`​

Since they are collinear

`AB=KAC`

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