Solve the Problem $\left( \frac { 7 } { 3 } , \frac { 1 } { 3 } , - \frac { 5 } { 3 } \right)$

Multiple Choice

Solve the problem.
-Find the point on the line of intersection of the planes x + y + z = 1 and 3x + 2y + z = 6 that is closest to the origin.

A) $\left( \frac { 7 } { 3 } , \frac { 1 } { 3 } , - \frac { 5 } { 3 } \right)$
B) $\left( \frac { 7 } { 3 } , - \frac { 1 } { 3 } , - \frac { 5 } { 3 } \right)$
C) $\left( - \frac { 7 } { 3 } , \frac { 1 } { 3 } , \frac { 5 } { 3 } \right)$
D) $\left( \frac { 7 } { 3 } , - \frac { 1 } { 3 } , \frac { 5 } { 3 } \right)$