(Solved): Two position vectors lie in a plane. The first, vector \( \overrightarrow{\mathbf{r}}_{\mathrm{A}^ ...

Two position vectors lie in a plane. The first, vector \( \overrightarrow{\mathbf{r}}_{\mathrm{A}^{\prime}} \) points at an angle of \( 20^{\circ} \) below the positive \( x \)-axis and has a magnitude of \( 42.5 \mathrm{~m} \). The second, vector \( \mathbf{r}_{\mathrm{B}^{\prime}} \), points at an angle of \( 51.5^{\circ} \) above the positive \( x \)-axis and has a magnitude of \( 75 \mathrm{~m} \). (a) Choose the diagram below that is correct a graphical representation of \( \vec{r}_{A}+\vec{r}_{B} \). (b) What is the magnitude, in meters, and what is the direction of vector \( \vec{r}_{C} \), in degrees? Give the direction as an angle measured counterclockwise from the positive \( x \)-axis. magnitude direction o (counterclockwise from the \( +x \)-axis)