Consider the curve r(t) = (6 cos(t), 6 sin(t), e), 0 ≤ t ≤ π. Find r'(t). r'(t) = Consider the plane √3x + y = 1. Determine the normal vector n of the plane. n = Find the point on the curve r(t) = (6 cos(t), 6 sin(t), e), 0 ≤ t ≤, where the tangent line is parallel to the plane √3x + y = 1. (x, y, z) =

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