- #1

arhzz

- 267

- 52

- Homework Statement
- Draw the vector field

- Relevant Equations
- -

Hello! I am suspossed to write (sketch) this particular vector field.

$$V2(r) = \frac{C}{\sqrt{x^2+y^2+z^2})^3} * (x,y,z) $$ Note that the x y z is suspossed to be a vector so they would be written vertically (one over the other) but I don't know how to write vectors and matrices in LaTeX,so if anyone has a good tutorial or a site where I could learn that please let me know. Now for this vector field I first need to determine if it diverges and I got 0,since we don't have r anywhere so doing the partial differentiation will give us all 0.Now I am not really sure how to draw it since if the divergence of a vector field says to which extent the vector field flux behaves like a source at a given point.Our professor said we can imagine it like "outgoingness".If I had to simply draw it of this what I know I'd say there is nothing to be drawn,simply leave it blank if you will. We are also given a tip; "Consider z to be a constant".Now this tip confused me since I'd go with the answer nothing to be drawn but I pressume I'm wrong. What should I consider here,I must be missing something.

Thank you!

$$V2(r) = \frac{C}{\sqrt{x^2+y^2+z^2})^3} * (x,y,z) $$ Note that the x y z is suspossed to be a vector so they would be written vertically (one over the other) but I don't know how to write vectors and matrices in LaTeX,so if anyone has a good tutorial or a site where I could learn that please let me know. Now for this vector field I first need to determine if it diverges and I got 0,since we don't have r anywhere so doing the partial differentiation will give us all 0.Now I am not really sure how to draw it since if the divergence of a vector field says to which extent the vector field flux behaves like a source at a given point.Our professor said we can imagine it like "outgoingness".If I had to simply draw it of this what I know I'd say there is nothing to be drawn,simply leave it blank if you will. We are also given a tip; "Consider z to be a constant".Now this tip confused me since I'd go with the answer nothing to be drawn but I pressume I'm wrong. What should I consider here,I must be missing something.

Thank you!