Find the unit tangent vector $T(t)$ at point $P$

$r(t)=t^{2}i+t{j}^{}+\frac{20}{3}k,p(4,2,\frac{20}{3})$

Find a set of parametric equations for the line tangent to the space curve at point $P.($Enter your answers as a comma$-$separated list of equations. Use $t$ for the variable of parametrization.$)$

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