Find the Area of the Parallelogram with Vertices $$\mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } , \text { and } \mathrm { P } _ { 4 }$$

Multiple Choice

Find the area of the parallelogram with vertices $$\mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } , \text { and } \mathrm { P } _ { 4 }$$ .
- $$P _ { 1 } = ( 7 , - 5,5 ) , \quad P _ { 2 } = ( 4,7 , - 5 ) , \quad P _ { 3 } = ( 6,4 , - 2 ) , \quad P _ { 4 } = ( 3,16 , - 12 )$$

A) $\sqrt { 32758 }$
B) $\frac { \sqrt { 382 } } { 2 }$
C) $\sqrt { 382 }$
D) $\frac { \sqrt { 32758 } } { 2 }$