Find the work done for the force 𝐹⃗(x,y,z)= yz𝑖⃗ + xz 𝑗⃗ + (xy+2z) 𝑘⃗⃗ along the line segment from (1,0,-2) to (4,6,3)

Find the work done for the force 𝐹⃗(x,y,z)= yz𝑖⃗ + xz 𝑗⃗ + (xy+2z) 𝑘⃗⃗ along the line segment from (1,0,-2) to (4,6,3)

[Steven Lord]

This sounds like a homework assignment. If it is, show us the code you've written to try to solve the problem and ask a specific question about where you're having difficulty and we may be able to provide some guidance.

If you aren't sure where to start because you're not familiar with how to write MATLAB code, I suggest you start with the MATLAB Onramp tutorial (https://www.mathworks.com/support/learn-with-matlab-tutorials.html) to quickly learn the essentials of MATLAB.

If you aren't sure where to start because you're not familiar with the mathematics you'll need to solve the problem, I recommend asking your professor and/or teaching assistant for help.

[William Rose]

Excellent advice from @Steven Lord.

[Chaitanya Yadav]

@Steven Lord Thanks a lot for the advice! I got a link to a youtube video on this topic that will probably help me solve this assignment.

[Dinneharan Ravi Chamdran]

@Chaitanya Yadav can u share the link?

[Torsten]

Look at the accepted answer.

Answer 1

[Torsten]

https://www.youtube.com/watch?v=2OFvYo5aWXg

Answer 2

[Surya]

clc
clear all
syms x y z t
f=input('Enter the components of 3D vector function [u,v,w] ');
r=input('Enter x,y,z in parametric form');
I=input('Enter the limits of integration for t in the form [a,b]');
a=I(1);b=I(2);
dr=diff(r,t);
F=subs(f,{x,y,z},r);
Fdr=sum(F.*dr);
I=int(Fdr,t,a,b)
P(x,y,z)=f(1);Q(x,y,z)=f(2); R(x,y,z)=f(3);
x1=linspace(0,1,10); y1=x1; z1=x1;
[X,Y,Z] = meshgrid(x1,y1,z1);
U=P(X,Y,Z); V=Q(X,Y,Z); W=R(X,Y,Z);
quiver3(X,Y,Z,U,V,W,1.5)
hold on
t1=linspace(0,1,10);
x=subs(r(1),t1);y=subs(r(2),t1);z=subs(r(3),t1);
plot3(x,y,z,'r')

[Raghav]

clear
clc
syms x y z t
f=[y*z,x*z,x*y+2*z];
r=[3*t+1,6*t,5*t-2];
I=[0,1];
a=I(1);b=I(2);
dr=diff(r,t);
F=subs(f,{x,y,z},r);
Fdr=sum(F.*dr);
I=int(Fdr,t,a,b)
P(x,y,z)=f(1);Q(x,y,z)=f(2); R(x,y,z)=f(3);
x1=linspace(0,1,10); y1=x1; z1=x1;
[X,Y,Z]=meshgrid(x1,y1,z1);
U=P(X,Y,Z); V=Q(X,Y,Z); W=R(X,Y,Z);
quiver3(X,Y,Z,U,V,W,1.5)
hold on
t1=linspace(0,1,10);
x=subs(r(1),t1);y=subs(r(2),t1);z=subs(r(3),t1);
plot3(x1,y1,z1,'r')

[JANICE]

dude how did you find the limits