- #1

- 10

- 0

## Homework Statement

For the scalar field f(x, y, z) = x2 − y2 − z find gradf and normal unit

vector to a surface f(x, y, z) = 0 at the point (1, 1, 0).

## Homework Equations

## The Attempt at a Solution

I calculated gradf= 2xi -2yj -k

at (1,1,0) this is = 2i -2y -k

normal unit vector= [tex]\frac{2i -2y -k}{\sqrt{9}}[/tex]

normal unit vector = [tex]\frac{1}{3}[/tex](2i -2y -k)

is this correct it seems too simple in terms of marks