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01 - Sine and Cosine
02 - Vectors vs scalars
03 - Labeling vectors and adding
04 - X and Y components of vectors
05 - 3D vectors annotation
06 - Introduction to the unit circle
07 - Degrees vs Radians
08 - Cartesian coordinate system
09 - Polar coordinate system
10 - The Imaginary unit
11 - Introduction to complex numbers
12 - Complex number in rectangular form
13 - Complex number in polar form
14 - Euler's formula
15 - Constructing a sine and cosine graph from rotating vector in the unit circle
16 - Wave parameters - Amplitude, Frequency, Phase, Period, Wavelength
17 - Electromagnetic waves
18 - Superposition of sine waves
19 - Fourier series
20 - Fourier transform
21 - Inverse Fourier transform
22 - Discrete Fourier transform
23 - 2D discrete Fourier transform
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04 - X and Y components of vectors
Vector decomposition is the general process of breaking down one vector into two or more vectors that add up to the original vector. Vectors can be decomposed using trigonometric functions.
Theory
Demonstration
Decompose a vector in X and Y components