Equation for Perpendicular Bisector of Two Points in Complex Plane/Examples/2+i, 3-2i/Parametric Form 1
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Example of Use of Equation for Perpendicular Bisector of Two Points in Complex Plane
Let $L$ be the perpendicular bisector of the straight line through $2 + i$ and $3 - 2 i$ in the complex plane.
Then $L$ can be expressed by the equation:
- $z - \paren {\dfrac 5 2 - \dfrac i 2} = t \paren {3 + i}$
Proof
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Sources
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Supplementary Problems: Graphical Representation of Complex Numbers. Vectors: $70 \ \text {(b)}$