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

question 217

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) \(- \frac { 3 } { 2 } \mathbf { i } + 4 \mathbf { j } + \frac { 1 } { 2 } \mathbf { k }\)

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