## College Physics (4th Edition)

Let $\theta$ be the angle from the positive x-axis counterclockwise to the vector $B$. Let $\vert B \vert$ be the original magnitude of the vector. $x = \vert B \vert ~cos~\theta$ $y = \vert B \vert ~sin~\theta$ If the magnitude of the original vector $B$ is doubled to $2\vert B \vert$, we can find the new values of $x$ and $y$: $x = 2\vert B \vert ~cos~\theta$ $y = 2\vert B \vert ~sin~\theta$ Therefore, the x-component and the y-component are also doubled.