If z(1), z(2), z(3) are three nonzero co...

If `z_(1), z_(2), z_(3)` are three nonzero complex numbers such that `z_(3) (1- lamda)z_(1) + lamda z_(2)` where `lamda in R- {0}`, then prove that points corresponding to `z_(1), z_(2) and z_(3)` are collinear.

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