Find the Unit Tangent Vector $\mathbf { T } ( t )$

question 137

Multiple Choice

Find the unit tangent vector $\mathbf { T } ( t )$ for $\mathbf { r } ( t ) = 6 t \mathbf { i } + 6 t \mathbf { j } + 7 t \mathbf { k }$ at $t = 2$ .
Select the correct answer.

• A) \(\frac { 3 } { 121 } \mathbf { i } + \frac { 3 } { 121 } \mathbf { j } + \frac { 7 } { 242 } \mathbf { k }\)
• B) \(\frac { 6 } { 11 } \mathbf { i } + \frac { 6 } { 11 } \mathbf { j } + \frac { 7 } { 11 } \mathbf { k }\)
• C) \(12 \mathbf { i } + 12 \mathbf { j } + 14 \mathbf { k }\)
• D) \(6 \mathbf { i } + 6 \mathbf { j } + 7 \mathbf { k }\)

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