Shadow on xy plane of line in plot3?

How I could plot the shadow line on xy plane for this line in plot3?

clear
close all
clc
format long

V1=1;
p1=10*10^5;
n=1.322;
V2=2;
p2=(p1*V1^n)/(V2^n);

V=V1:.01:V2;
P=(p1*V1^n)./(V.^n);
W=(p1*V1-P.*V)./(n-1);
plot3(V,P,W)
grid on
view([-19 55])

Answer 1

[Adam Danz]

To project the 3D line onto each pair of 2D axes, set the axis limits first and then use the min or max axis limits depending on your view angle.

Add this to your code.

xlim(xlim)
ylim(ylim)
zlim(zlim)
hold on 
shadeColor = [.85,.85,.85];
plot3(V,P,min(zlim).*ones(size(V)),'-','Color',shadeColor,'LineWidth',2); 
plot3(V,max(ylim).*ones(size(V)),W,'-','Color',shadeColor,'LineWidth',2); 
plot3(max(xlim).*ones(size(P)),P,W,'-','Color',shadeColor,'LineWidth',2);

Answer 2

[Asad (Mehrzad) Khoddam]

use surfc function but you need a grid in x and y directions