Find the Unit Tangent Vector of the Given Curve $T = \frac { 2 } { 3 } \mathbf { i } - \frac { 2 } { 3 } j - \frac { 1 } { 3 } \mathbf { k }$

question 28

Multiple Choice

Find the unit tangent vector of the given curve.
-r(t) = (10 - 2t) i + (2t - 3) j + (10 + t) k

• A) \(T = \frac { 2 } { 3 } \mathbf { i } - \frac { 2 } { 3 } j - \frac { 1 } { 3 } \mathbf { k }\)
• B) \(\mathrm { T } = - \frac { 2 } { 3 } \mathrm { i } + \frac { 2 } { 3 } \mathrm { j } + \frac { 1 } { 3 } \mathbf { k }\)
• C) \(T = \frac { 2 } { 9 } \mathbf { i } - \frac { 2 } { 9 } \mathbf { j } - \frac { 1 } { 9 } \mathbf { k }\)
• D) \(T = - \frac { 2 } { 9 } i + \frac { 2 } { 9 } j + \frac { 1 } { 9 } k\)

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