- #1

- 9

- 0

## Homework Statement

f(x,y) = x

^{2}+ y

^{2}

P(9,6)

v=<2,4,0>

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)

## Homework Equations

A(x - x

_{0}) + B(y - y

_{0}) + C(z - z

_{0})

normal vector

n= <0,0,1>

given point and vector:

P(9,6)

v = < 2, 4 0>

## The Attempt at a Solution

I tried plugging the give point and and the normal vector into A(x - x

_{0}) + B(y - y

_{0}) + C(z - z

_{0})

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.