the angle a vector makes with the x - axis of a coordinate system must be what size in order to make one or…

Brief Explanations:

In a two - dimensional Cartesian coordinate system, for a vector $\vec{v}$ with magnitude $v$ and angle $\theta$ with the $x$-axis, its $x$-component is $v_x = v\cos\theta$ and $y$-component is $v_y=v\sin\theta$. When $\theta = 90^{\circ}$, $\cos\theta = 0$ and $\sin\theta = 1$. When $\theta>90^{\circ}$, $\cos\theta<0$ (for $90^{\circ}<\theta < 270^{\circ}$) and/or $\sin\theta<0$ (for $180^{\circ}<\theta<360^{\circ}$), which makes one or more components negative.

Answer:

D. greater than 90 degrees