- #1
CSNabeel
- 12
- 0
Homework Statement
Calculate the gradient of the scalar field f(x,y) = x[tex]^{2}[/tex] - y[tex]^{2}[/tex] . Sketch the gradient for a few point on two straight lines y = x and y = -x on the plane and comment on the properties of the sketch.
Homework Equations
The Attempt at a Solution
So I worked out the gradient to be:
f = 2xi - 2yj
and then I did this for the point
x y x -y
-2 -2 -2 2
-1 -1 -1 1
0 0 0 0
1 1 1 -1
2 2 2 -2
but then I got confused on how to implement the gradient to this to do the sketch! Help would be much appreciated