- #1

- 28

- 2

Short definition: A gradient always shows to the highest value of the scalar field. That's why a gradient field is a vector field.

But let's assume a constant scalar field [tex]f(\vec r)[/tex] The gradient of f is perpendicular to this given scalar field f.

My Questions:

1. Why does the gradient points away? I mean yes, it is clear that there isn't any other higher value, so it just points away?

2. Does the magnitude of the gradient represent the alteration of the scalar field f, although the field itself is constant?