Find the equation of the tangent plane to x²+y²+z=9 at P(1,2,4) and find the par

Question

Find the equation of the tangent plane to x²+y²+z=9 at P(1,2,4) and find the parametric equations of the normal line at that point.

I know how to find the tangent plane. It is:
2x + 4y + z = 14

How do I find the parametric equations of the normal line though?

Explanation / Answer

normal line>>its vector is normal is the same as the normal vector of this plane (see text, but normal vec for plane is direct) now this vec is a direc vec for the line, also u have a point on the line: u can get the parametric equ of the line by just susbs. Please rate as helpful, i don want more! thx

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