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

Question 46

Multiple Choice

Find the length of the curve r(t) =−2ti−tj+tk\mathbf { r } ( t ) = - 2 t \mathbf { i } - t \mathbf { j } + t \mathbf { k } −2≤t≤1.- 2 \leq t \leq 1 .


A) 363 \sqrt { 6 }
B) 6\sqrt { 6 }
C) 262 \sqrt { 6 }
D) 666 \sqrt { 6 }

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