Vectors are generally oriented on a two dimensional coordinate system. The Cartesian plane has a horizontal axis, labeled X and a vertical axis labeled Y. Vectors in multiple-dimension coordinate systems can be split up into their component vectors. In the two-dimensional case, this results in a X-component and a Y-component.

Fx

The figure shows an example of a Force vector (F) broken into its components (**F _{x}** &

**F**** = F _{x} + F_{y}**

To determine the magnitude of the components, we use the rules of triangles

Taking the angle between X-axis and the vector and considering the right triangle including the angle θ, we see that Fx is the adjacent side, Fy is the opposite side, and F is the hypotenuse.

So, from the rules for right triangles, we know that:

**F _{x}**

and

**F _{y}**

That gives,

**F _{x}**

and

**F _{y} = F **sinθ

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