rado5
Nov10-09, 04:56 PM
1. The problem statement, all variables and given/known data
Find the unique vector which is perpendicular on z= \sqrt{x^2+y^2} at P=(3,4,5)
2. Relevant equations
\frac{\nabla F}{\left| \nabla F\left|}
3. The attempt at a solution
The answer is \frac{\nabla F}{\left| \nabla F\left|} and F(x,y,z)=\sqrt{x^2+y^2}-z so the answer is \frac{\nabla F}{\left| \nabla F\left|}= (\frac{0.6}{\sqrt{2}} , \frac{0.8}{\sqrt{2}} , \frac{-1}{\sqrt{2}})
Find the unique vector which is perpendicular on z= \sqrt{x^2+y^2} at P=(3,4,5)
2. Relevant equations
\frac{\nabla F}{\left| \nabla F\left|}
3. The attempt at a solution
The answer is \frac{\nabla F}{\left| \nabla F\left|} and F(x,y,z)=\sqrt{x^2+y^2}-z so the answer is \frac{\nabla F}{\left| \nabla F\left|}= (\frac{0.6}{\sqrt{2}} , \frac{0.8}{\sqrt{2}} , \frac{-1}{\sqrt{2}})