Solve the Problem $4 \mathbf { i } + \frac { 7 } { 2 } \mathbf { j } + \frac { 9 } { 2 } \mathbf { k }$

Solve the problem.
-For the triangle with vertices located at A(3, 5, 5) , B(5, 2, 4) , and C(1, 1, 1) , find a vector from vertex C to the midpoint of side AB.

A) $4 \mathbf { i } + \frac { 7 } { 2 } \mathbf { j } + \frac { 9 } { 2 } \mathbf { k }$
B) $5 \mathbf { i } + \frac { 9 } { 2 } \mathrm { j } + \frac { 11 } { 2 } \mathbf { k }$
C) $\frac { 1 } { 2 } \mathrm { i } + \frac { 3 } { 2 } \mathrm { j } + \frac { 3 } { 2 } \mathrm { k }$
D) $3 i + \frac { 5 } { 2 } j + \frac { 7 } { 2 } k$