Vector Components

[justify]Drag the point at the tip of the vector [math]\vec{A}[/math] to change the magnitude and the direction.[br][br]Any vector[math]\vec{A}[/math] you give me, I claim, can be written as the sum of two vectors [math]\vec{A}_x[/math] and [math]\vec{A}_y[/math], called the x- and the y-component of vector [math]\vec{A}[/math], respectively. There is nothing you can throw at me in the plane that I won't be able to describe as some number [math]A_x[/math] (a scalar, without an arrow above the letter) in the x-direction and some number [math]A_y[/math] in the y-direction.[/justify]
Question:
From the above example, write the rule to add vectors and the rule to add scalars.
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Information: Vector Components