Rotations & Scaling: Multiplying a Shape by a Complex Number
This lesson is part of the course
In this lesson
You build the multiplier m = 1.5∠30°, apply it to every corner of a house-shaped logo, and draw the turned and enlarged outline as a scatter chart.
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Lessons in this course
- The Complex Plane: Real & Imaginary Columns, Quadrants and Conjugates Locked
- Complex Arithmetic: Sums, Products (ac − bd, ad + bc) and Division by the Conjugate Locked
- Modulus & Argument: Distances, ATAN with a Quadrant Correction, Degrees vs Radians Locked
- Polar Form: r(cos θ + i sin θ), Multiplying Moduli and Adding Angles Locked
- Powers & Roots: De Moivre's Rule, n-th Roots and the Roots of Unity Locked
- Rotations & Scaling: Multiplying a Shape by a Complex Number Locked
- Quadratic Equations: Negative Discriminants, Complex Root Pairs and Checking by Substitution Locked
- AC Phasors: Impedance R + jX in Series and Parallel, Current Magnitude and Phase Angle Locked