$12$

$8/12$ points

Two vectors $($ vec$(A)$ and vec$(B))$ are shown in the figure. A vector vec$(C)$ is created by vec$(C)=2$vec$(A)-$vec$(B).$ The magnitude of vector vec$(A)$ is $14\mathrm{.}0$ units and the magnitude of vector vec$(B)$ is $6\mathrm{.}50$ units. Answer the following if $=35\mathrm{.}0$ and $=22\mathrm{.}0,$

$($a$)$ The x$-$component of vec$(A)$ is positive or negative?

$($b$)$ The $y-$component of vec$(A)$ is positive or negative?

$($c$)$ The $x-$component of vec$(B)$ is positive or negative?

$($d$)$ The $y-$component of vec$(B)$ is positive or negative?

$($e$)$ What is the magnitude of vector vec$(C)?$

$($f$)$ What is the angle vector vec$(C)$ makes with the positive $x-$axis? The angle should be measured counterclockwise from the positive $x-$axis.

$($Submit numeric answers to $3$ significant figures.$)$