$$\text { Find the unit tangent vector for the curve given by } \mathbf { r } ( t ) = \left\langle \frac { 1 } { 8 } t ^ { 8 } , \frac { 1 } { 3 } t ^ { 3 } , t \right\rangle \text {. }$$

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The Answer of $$\text { Find the unit tangent vector for the curve given by } \mathbf { r } ( t ) = \left\langle \frac { 1 } { 8 } t ^ { 8 } , \frac { 1 } { 3 } t ^ { 3 } , t \right\rangle \text {. }$$