Solve the Problem $\mathrm { P } = ( - 6 , - 9 )$

Multiple Choice

Solve the problem.
-If $\mathrm { P } = ( - 6 , - 9 )$ and $\mathrm { Q } = ( \mathrm { x } , - 105 )$ , find all numbers $x$ such that the vector represented by $\overrightarrow { \mathrm { PQ } }$ has length $- 120$

A) $\{ 66 , - 78 \}$
B) $\{ 78 , - 78 \}$
C) $\{ 66 , - 84 \}$
D) $\{ 78,66 \}$ .