Find the Component Form and Magnitude of the Indicated Vector $P = ( - 4,8 ) , Q = ( - 3,13 ) , R = ( 3 , - 5 )$

Multiple Choice

Find the component form and magnitude of the indicated vector.
-Given that $P = ( - 4,8 ) , Q = ( - 3,13 ) , R = ( 3 , - 5 )$ , and $S = ( 7,0 )$ , find the component form and magnitude of the vector $\overrightarrow { \mathrm { PQ } } + 2 \overrightarrow { \mathrm { RS } }$ .

A) $\langle - 9 , - 15 \rangle , \sqrt { 3 \sqrt { 34 } }$
B) $\langle 9,15 \rangle , 306$
C) $( 5,10 \rangle , 5 \sqrt { 5 }$
D) $\langle 9,15 \rangle , 3 \sqrt { 34 }$