Complex numbers \( z_{1}, z_{2}, z_{3} \) are the vertices \( A, B,...

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Complex numbers \( z_{1}, z_{2}, z_{3} \) are the vertices \( A, B, C \) respectively of an isosceles right angled triangle with
\( \mathrm{P} \) right angle at \( C \). Show that

W \( \left(z_{1}-z_{2}\right)^{2}=2\left(z_{1}-z_{3}\right)\left(z_{3}-z_{2}\right) \). \( \quad\left(1986,2 \frac{1}{2} \mathrm{M}\right) \)
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