Consider the Curve $\vec { r } ( t ) = \left( 5 t ^ { 2 } + 1 \right) \vec { i } + \left( t ^ { 2 } - 5 \right) \vec { j } + t \vec { k }$

Essay

Consider the curve $\vec { r } ( t ) = \left( 5 t ^ { 2 } + 1 \right) \vec { i } + \left( t ^ { 2 } - 5 \right) \vec { j } + t \vec { k }$ Find the equation of the tangent line at the point where t = 2.