I work through projecting a vector onto another vector in two setting: 1) When the vectors are described with magnitude and direction. 2) When the vectors are described by their horizontal and vertical components. NOTE: If you check to see if the composite vectors (at the end of this video) are perpendicular, the dot product will not equal zero. I rounded off my work too much when working through the scaler multiple portion of the projection formula.
In this series, the very helpful and fun math teacher Mr. Tarrou teaches students an entire course on trigonometry from start to finish, and on top of that, provides a comprehensive and easy to understand introduction to polar coordinates, vectors, and complex numbers. His videos are friendly, easy to understand, entertaining, and very well organized, all thanks to Mr. Tarrou great dedication to teaching and enthusiasm for mathematics.