Find the Length of the Curve $\mathbf { r } ( t ) = - 3 t \mathbf { i } + 2 t \mathbf { j } - t \mathbf { k } , - 2 \leq t \leq 1$

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = - 3 t \mathbf { i } + 2 t \mathbf { j } - t \mathbf { k } , - 2 \leq t \leq 1$ .

A) $2 \sqrt { 14 }$
B) $\sqrt { 14 }$
C) $6 \sqrt { 14 }$
D) $3 \sqrt { 14 }$