Question

Using MATLAB/OCTAVE, plot the vector field ?⃗=?2?̂−??̂ ?? ?ℎ? ??????−2<?<+2 ???−2<?<+2

Find the magnitude of the vector field at the point (?0,?0)=(3,2).

Answer 1

vector field is drawn using the quiver command, explanation for each command is given in the code itself.

code:

% initializing x values
clc; clear all;
x=linspace(-2,2,10);
% initializing y values
y=linspace(-2,2,10);
% creating mesh grid
[X,Y]=meshgrid(x,y);
% assigning components
u=Y.*Y; v=-X;
% ploting vector lines using quiver command
quiver(x,y,u,v)
xlabel('x')
ylabel('y')
% to find the value of magnitude vector fied at 3,2
x0=3;
y0=2;
A=sqrt((y0^(4))+(x0^(2)))

output: