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Year 12 Maths Extension 2 Complex Numbers

Vector Problems

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Question 1
52081

The points \(P\) and \(Q\) are represented by the complex numbers \(z=1-3i\) and \(w=-3+4i\) respectively. 

Find points \(R\) and \(R'\) on the real axis such that \(\angle PR'Q=\angle PRQ=\dfrac{\pi}{2}\)

\((3,0) \text{ and }(-5,0)\)

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