Question

Hi, I have some questions regarding to Pset 8 4A-3 b). I don't know how to get the answer. >_<... My approach was first find some points ((-1, 1), (1,1), etc ) and drew them on a graph. Then try to figure out what F looks like by looking at the direction of every vector and the magnitude. Could you tell me what is your way of solving this kind of question ? Thanks in advance.

Answer 1

Are you asking about
"Write down an explicit expression for each of the following fields:"
b) The vector at (x,y) is directed radially in towards the origin, with magnitude r^2
?

First, we have to understand what they are saying. "radially inward towards the origin"
means a vector at location (x,y), pointing directly at the origin.
Ignoring the magnitude, it should look like this