$$\text { Find the domain of the vector function } \mathbf { r } ( t ) = 8 t \mathbf { i } + \frac { 1 } { t - 3 } \mathbf { j } \text {. }$$

Multiple Choice

$$\text { Find the domain of the vector function } \mathbf { r } ( t ) = 8 t \mathbf { i } + \frac { 1 } { t - 3 } \mathbf { j } \text {. }$$ Select the correct answer.

A) $( - \infty , - 8 ) \cup ( - 8 , \infty )$
B) $( - \infty , 3 ) \cup ( 3 , \infty )$
C) $( - \infty , - 3 ) \cup ( - 3 , \infty )$
D) $( - \infty , 8 ) \cup ( 8 , \infty )$