a) Find a vector equation of the line through the point (1,5,8) that is perpendicular to the plane x-y + 4z = 8 b) At which point does the line intersect the xy-plane?

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A: Solving the problem

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A: Note:-As per your demand we solve part a and c for you Given functions :-

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A: given

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A: where                     substituting the values we get

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A: We need to find rate of change.