f(x,y) = x2 + y2
1)Find a vertical plane that passes through the point P(9,6) and has the vector v=<2,4,0>
2)What is the vector function of the curve of intersection of the vertical plane and z=f(x,y)
A(x - x0) + B(y - y0) + C(z - z0)
given point and vector:
v = < 2, 4 0>
The Attempt at a Solution
I tried plugging the give point and and the normal vector into A(x - x0) + B(y - y0) + C(z - z0)
and I got 3x+2y but that's not a vertical plane.
I also tried plugging in the point and the given vector and got x+2y-21 and that doesn't look right either.
I found the unit vector to be <1/√3 , 2/√3 , 0>. I'm not sure if I need to use that find the vertical plane.