Question: Suppose that the line is represented by r(t) = <14+4t,17+6t,23+8t> and the plane P is represented by 3x2y+5z = 23. Find the point of intersection

Suppose that the line is represented by r(t) =<14+4t,17+6t,23+8t> and the plane P is represented by 3x2y+5z = 23. Find the point of intersection of the line and the plane. Also,find the cosine of the angle between the line and the normal vector of the plane.

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