- #1
Taylor_1989
- 402
- 14
Homework Statement
Hi guys, it a very simple question, but it causing me a great deal of confusion. The questions are as follows:
So I worked out the ans for one which I have displayed below. But what I don't understand is what they want from the second question. Because the way I see it, the direction of maximum rate of change is the gradient itself. Am I missing something here because I am really lost.
Homework Equations
The Attempt at a Solution
1: ##\nabla f=\frac{-xi}{(x^2+y^2+z^2)^3} -\frac{yj}{(x^2+y^2+z^2)^3}-\frac{zk}{(x^2+y^2+z^2)^3}##
##\nabla f = le^{lx+my+nz}i+me^{lx+my+nz}j+ne^{lx+my+nz}k##
2: I make the direction as follows: ##(-xi-yj-zk)## & ##li+mj+nk##
Is this correct or have I miss understood the question?