Find the point of intersection of the tangent lines to the curve $\mathbf { r } ( t ) = \langle \sin \pi t , 7 \sin \pi t , \cos \pi t \rangle$, at the points where $t = 0$ and $t = 0.5$.

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The Answer of Find the point of intersection of the tangent lines to the curve $\mathbf { r } ( t ) = \langle \sin \pi t , 7 \sin \pi t , \cos \pi t \rangle$, at the points where $t = 0$ and $t = 0.5$.

Find the Point of Intersection of the Tangent Lines to the Curve