Geometrical effects of conjugation, negation, addition, subtraction, and multiplication by \(\mathbf{i}\)
Geometrical effects of conjugation, negation, addition, subtraction, and multiplication by \(\mathbf{i}\)
TGM Original Questions
The points \(A\), \(B\), \(C\) and \(D\) represent the complex numbers \(-3-\mathbf{i}\), \({{z}_{1}}\), \(7+5\mathbf{i}\) and \({{z}_{2}}\) respectively.
Given that \(ABCD\) is a square, labelled in an anti-clockwise direction. Find \({{z}_{1}}\) and \({{z}_{2}}\).
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Answer:\(z_1=5-3\mathrm{i}\), \(z_2=-1+7\mathrm{i}\)
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