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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, …

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 …

A vector can be represented as the sum of two perpendicular vector components. To find the horizontal and vertical components, we draw a right triangle with the vector as the hypotenuse …

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.

So, one of the simplest cases would be well, if they just told us the actual components of the vector. So if they said vector a is equal to, let's say five comma negative three, this means that …

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.

Take a vector given in magnitude and direction form and convert it to component form.

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, …