Solve the Problem $- 1 \mathbf { i } + \frac { 8 } { 3 } j + \frac { 1 } { 3 } \mathbf { k }$

Multiple Choice

Solve the problem.
-Find the vector from the origin to the center of mass of a thin triangular plate (uniform density) whose vertices are A(7, 9, 10) , B(8, 3, 8) , and C(9, 2, 9) .

A) $- 1 \mathbf { i } + \frac { 8 } { 3 } j + \frac { 1 } { 3 } \mathbf { k }$
B) $- \frac { 1 } { 2 } \mathbf { i } + \frac { 4 } { 3 } \mathrm { j } + \frac { 1 } { 6 } \mathbf { k }$
C) $8 i + \frac { 14 } { 3 } j + 9 k$
D) $- \frac { 3 } { 2 } \mathbf { i } + 4 \mathbf { j } + \frac { 1 } { 2 } \mathbf { k }$