(Solved): Three vectors are shown in the figure below, along with an xy coordinate system. Define the vect ...

Three vectors are shown in the figure below, along with an $x?y$ coordinate system. Define the vector $\mathbf{R}$ to be the vector sum of the three vectors $\mathbf{A},\mathbf{B}$, and $\mathbf{C}$. In equation form, $\mathbf{R}=\mathbf{A}+\mathbf{B}+\mathbf{C}$. (a) Find the magnitude of the vector $\mathbf{R}$. $\mathrm{m}$ (b) Find the direction of the vector R. Specify the direction as an angle measured counterclockwise from the positive $x$-axis.