Find the unit tangent vector to the curve at the indicated point

Unit Tangent Vector Formula: Let r(t) be a function with differentiable vector values, and v(t) = r’(t) be the velocity vector. Then, the tangent vector equation is the unit vector in the direction of

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Find the unit tangent vector to the curve at the

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Find the unit tangent vector to the curve at the

Then we define the unit tangent vector as the unit vector in the direction of the velocity vector, that is, T ( t) = v ( t) | | v ( t) | | = r ′ ( t) | | r ′ ( t) | | Here, the given vector function is, r ( t) = t 2 − 2 t

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How to find the unit tangent vector

While, the components of the unit tangent vector can be somewhat messy on occasion there are times when we will need to use the unit tangent vector instead of the
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