Visualising Complex Numbers with an Example

Uses an example to explain how complex numbers can be visualised in terms of sinusoidal waveforms, amplitude gains, and phase offsets.

* One point to note is that I have used "j" for the complex variable, instead of "i" (which is more commonly used). This is because I am an electrical engineer, and we use "i" for electrical current, so we use "j" for the complex variable to avoid confusing ourselves (except then of course it can be confusing for physicists and mathematicians! ... sorry about that, but it is just the way it is.)

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Related videos: (see: http://iaincollings.com)
• How do complex numbers relate to real signals?: https://youtu.be/TLWE388JWGs
• Why are Complex Numbers written with Exponentials? https://youtu.be/Cy5IQnBpJoA
• Essential Maths Needed to Study Signals and Systems https://youtu.be/haGIu-INQpo
• What is negative frequency?: https://youtu.be/gz6AKW-R69s
• Fourier Transform Equation Explained https://youtu.be/8V6Hi-kP9EE
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