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) $3 \sqrt { 14 }$

Question

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The Answer of 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) $3 \sqrt { 14 }$

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

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