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5) (Bonus 5pt) The Normal Plane to a curve in 3-space is the plane that contains both the Normal and Binormal vectors. Find the point

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5) (Bonus 5pt) The Normal Plane to a curve in 3-space is the plane that contains both the Normal and Binormal vectors. Find the point on the curve with vector equation, r(t) = ti + 4tj + t3k, where the Normal Plane is parallel to the plane given by -4x + 8y + 6z = 3. (Hint: what is the normal vector to the Normal Plane defined above?)

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