Vector AB is being constructed of this X, this vector that goes purely in the X direction, and this vector that goes purely in the Y direction. If you were to add this red vector to this blue-green, …

Sal finds the components of a couple of vectors given in magnitude and direction form.

This topic covers: - Vector magnitude - Vector scaling - Unit vectors - Adding & subtracting vectors - Magnitude & direction form - Vector applications

And if you want to think about this visually, this is very easy to do just looking at the actual components. But if you want to make sense of this, why this is essentially just the Pythagorean …

So hopefully you appreciate that these are equivalent ways of representing a vector. You either can have a magnitude and a direction, or you can have your components and you can go back …

So what we really want to do is find the component, the magnitude of the component going in that direction right over there. The way we can do that is just with our traditional trig functions.

If we took a vector whose magnitude was L, it could only have x-components between -L and L. Contrast with standard coordinate systems where we can pick our two coordinates completely …

Like all vectors, vector components have both magnitude and direction. So, we need to clearly define a coordinate system for every scenario, and use that to determine the sign of each …

Review the skills for analyzing vectors, including how to find horizontal and vertical components of vectors.

Explore vector magnitude and direction concepts with Khan Academy's comprehensive review, including examples and practice problems to enhance your understanding.