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extending lines in 3d graph
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extending lines in 3d graph
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.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty{ margin-bottom:0;
}
How can I extend the two lines I have through this 3d graph? Kind of like this picture, where the red lines would be dotted lines showing the line going through the two points. I thought I could simply multiply both values by a scalar vector, but it didn't work.
documentclass{article}
usepackage[margin=1in]{geometry}
usepackage{tikz, tikz-3dplot}
usepackage{amsmath}
begin{document}
tdplotsetmaincoords{75}{135}
begin{tikzpicture} [scale=1.1, tdplot_main_coords, axis/.style={->,black,thick},
vector/.style={-stealth,black,very thick},
vector guide/.style={dashed,black,thick}]
%standard tikz coordinate definition using x, y, z coords
coordinate (origin) at (0,0,0);
coordinate (a) at (-3,0,1);
coordinate (b) at (0,1,2);
coordinate (c) at (2,-1,1);
coordinate (d) at (1,2,0);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,4) node[anchor=south]{$z$};
% Draw two points
draw[fill=black] (a) circle[radius=2pt] node[anchor=north west]{$a=(-3,0,1)$};
draw[fill=black] (b) circle[radius=2pt] node[anchor=south west]{$b=(0,1,2)$};
draw[fill=black] (c) circle[radius=2pt] node[anchor=south]{$c=(2,-1,1)$};
draw[fill=black] (d) circle[radius=2pt] node[anchor=north]{$d=(1,2,0)$};
%draw guide lines to components
draw[vector guide] (origin) -- (a);
draw[vector guide] (origin) -- (b);
draw[vector guide] (origin) -- (c);
draw[vector guide] (origin) -- (d);
% Draw parametric lines
draw[line width=1pt] (a) -- (b) node[yshift=0.5cm, anchor=south]{$ta + b$};
draw[line width=1pt] (c) -- (d) node[yshift=0.5cm, anchor=south]{$tc + d$};
end{tikzpicture}
end{document}
tikz-pgf
asked 8 hours ago
Evan KimEvan Kim
2245 bronze badges
add a comment |
How can I extend the two lines I have through this 3d graph? Kind of like this picture, where the red lines would be dotted lines showing the line going through the two points. I thought I could simply multiply both values by a scalar vector, but it didn't work.
documentclass{article}
usepackage[margin=1in]{geometry}
usepackage{tikz, tikz-3dplot}
usepackage{amsmath}
begin{document}
tdplotsetmaincoords{75}{135}
begin{tikzpicture} [scale=1.1, tdplot_main_coords, axis/.style={->,black,thick},
vector/.style={-stealth,black,very thick},
vector guide/.style={dashed,black,thick}]
%standard tikz coordinate definition using x, y, z coords
coordinate (origin) at (0,0,0);
coordinate (a) at (-3,0,1);
coordinate (b) at (0,1,2);
coordinate (c) at (2,-1,1);
coordinate (d) at (1,2,0);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,4) node[anchor=south]{$z$};
% Draw two points
draw[fill=black] (a) circle[radius=2pt] node[anchor=north west]{$a=(-3,0,1)$};
draw[fill=black] (b) circle[radius=2pt] node[anchor=south west]{$b=(0,1,2)$};
draw[fill=black] (c) circle[radius=2pt] node[anchor=south]{$c=(2,-1,1)$};
draw[fill=black] (d) circle[radius=2pt] node[anchor=north]{$d=(1,2,0)$};
%draw guide lines to components
draw[vector guide] (origin) -- (a);
draw[vector guide] (origin) -- (b);
draw[vector guide] (origin) -- (c);
draw[vector guide] (origin) -- (d);
% Draw parametric lines
draw[line width=1pt] (a) -- (b) node[yshift=0.5cm, anchor=south]{$ta + b$};
draw[line width=1pt] (c) -- (d) node[yshift=0.5cm, anchor=south]{$tc + d$};
end{tikzpicture}
end{document}
tikz-pgf
asked 8 hours ago
Evan KimEvan Kim
2245 bronze badges
The continuation of a line in 3D is still a line, so you can make the lines longer with’shorten=<something negative>’.
– Schrödinger's cat
7 hours ago
add a comment |
How can I extend the two lines I have through this 3d graph? Kind of like this picture, where the red lines would be dotted lines showing the line going through the two points. I thought I could simply multiply both values by a scalar vector, but it didn't work.
documentclass{article}
usepackage[margin=1in]{geometry}
usepackage{tikz, tikz-3dplot}
usepackage{amsmath}
begin{document}
tdplotsetmaincoords{75}{135}
begin{tikzpicture} [scale=1.1, tdplot_main_coords, axis/.style={->,black,thick},
vector/.style={-stealth,black,very thick},
vector guide/.style={dashed,black,thick}]
%standard tikz coordinate definition using x, y, z coords
coordinate (origin) at (0,0,0);
coordinate (a) at (-3,0,1);
coordinate (b) at (0,1,2);
coordinate (c) at (2,-1,1);
coordinate (d) at (1,2,0);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,4) node[anchor=south]{$z$};
% Draw two points
draw[fill=black] (a) circle[radius=2pt] node[anchor=north west]{$a=(-3,0,1)$};
draw[fill=black] (b) circle[radius=2pt] node[anchor=south west]{$b=(0,1,2)$};
draw[fill=black] (c) circle[radius=2pt] node[anchor=south]{$c=(2,-1,1)$};
draw[fill=black] (d) circle[radius=2pt] node[anchor=north]{$d=(1,2,0)$};
%draw guide lines to components
draw[vector guide] (origin) -- (a);
draw[vector guide] (origin) -- (b);
draw[vector guide] (origin) -- (c);
draw[vector guide] (origin) -- (d);
% Draw parametric lines
draw[line width=1pt] (a) -- (b) node[yshift=0.5cm, anchor=south]{$ta + b$};
draw[line width=1pt] (c) -- (d) node[yshift=0.5cm, anchor=south]{$tc + d$};
end{tikzpicture}
end{document}
tikz-pgf
asked 8 hours ago
Evan KimEvan Kim
2245 bronze badges
How can I extend the two lines I have through this 3d graph? Kind of like this picture, where the red lines would be dotted lines showing the line going through the two points. I thought I could simply multiply both values by a scalar vector, but it didn't work.
documentclass{article}
usepackage[margin=1in]{geometry}
usepackage{tikz, tikz-3dplot}
usepackage{amsmath}
begin{document}
tdplotsetmaincoords{75}{135}
begin{tikzpicture} [scale=1.1, tdplot_main_coords, axis/.style={->,black,thick},
vector/.style={-stealth,black,very thick},
vector guide/.style={dashed,black,thick}]
%standard tikz coordinate definition using x, y, z coords
coordinate (origin) at (0,0,0);
coordinate (a) at (-3,0,1);
coordinate (b) at (0,1,2);
coordinate (c) at (2,-1,1);
coordinate (d) at (1,2,0);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,4) node[anchor=south]{$z$};
% Draw two points
draw[fill=black] (a) circle[radius=2pt] node[anchor=north west]{$a=(-3,0,1)$};
draw[fill=black] (b) circle[radius=2pt] node[anchor=south west]{$b=(0,1,2)$};
draw[fill=black] (c) circle[radius=2pt] node[anchor=south]{$c=(2,-1,1)$};
draw[fill=black] (d) circle[radius=2pt] node[anchor=north]{$d=(1,2,0)$};
%draw guide lines to components
draw[vector guide] (origin) -- (a);
draw[vector guide] (origin) -- (b);
draw[vector guide] (origin) -- (c);
draw[vector guide] (origin) -- (d);
% Draw parametric lines
draw[line width=1pt] (a) -- (b) node[yshift=0.5cm, anchor=south]{$ta + b$};
draw[line width=1pt] (c) -- (d) node[yshift=0.5cm, anchor=south]{$tc + d$};
end{tikzpicture}
end{document}
tikz-pgf
tikz-pgf
asked 8 hours ago
Evan KimEvan Kim
2245 bronze badges
asked 8 hours ago
Evan KimEvan Kim
2245 bronze badges
asked 8 hours ago
Evan KimEvan Kim
2245 bronze badges
asked 8 hours ago
Evan KimEvan Kim
2245 bronze badges
asked 8 hours ago
Evan KimEvan Kim
2245 bronze badges
2245 bronze badges
The continuation of a line in 3D is still a line, so you can make the lines longer with’shorten=<something negative>’.
– Schrödinger's cat
7 hours ago
add a comment |
The continuation of a line in 3D is still a line, so you can make the lines longer with’shorten=<something negative>’.
– Schrödinger's cat
7 hours ago
The continuation of a line in 3D is still a line, so you can make the lines longer with’shorten=<something negative>’.
– Schrödinger's cat
7 hours ago
The continuation of a line in 3D is still a line, so you can make the lines longer with’shorten=<something negative>’.
– Schrödinger's cat
7 hours ago
add a comment |
1 Answer
1
active
oldest
votes
You can add a some multiple of vectors using the calc library, which gets auto-loaded with tikz-3dplot. E.g.
draw (c) -- ($(c)+0.5*($(c)-(d)$)$);
draws from c to c plus 0.5 times c-d. This and further examples are contained in
documentclass{article}
usepackage[margin=1in]{geometry}
usepackage{tikz, tikz-3dplot}
usepackage{amsmath}
begin{document}
tdplotsetmaincoords{75}{135}
begin{tikzpicture}[scale=1.1, tdplot_main_coords, axis/.style={->,black,thick},
vector/.style={-stealth,black,very thick},
vector guide/.style={dashed,black,thick},
vector extension/.style={densely dashed,red,-stealth}]
%standard tikz coordinate definition using x, y, z coords
coordinate (origin) at (0,0,0);
coordinate (a) at (-3,0,1);
coordinate (b) at (0,1,2);
coordinate (c) at (2,-1,1);
coordinate (d) at (1,2,0);
draw[vector extension] (c) -- ($(c)+0.5*($(c)-(d)$)$);
draw[vector extension] (d) -- ($(d)+0.5*($(d)-(c)$)$);
draw[vector extension] (a) -- ($(a)+0.5*($(a)-(b)$)$);
draw[vector extension] (b) -- ($(b)+0.5*($(b)-(a)$)$);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,4) node[anchor=south]{$z$};
% Draw two points
draw[fill=black] (a) circle[radius=2pt] node[anchor=north west]{$a=(-3,0,1)$};
draw[fill=black] (b) circle[radius=2pt] node[anchor=south west]{$b=(0,1,2)$};
draw[fill=black] (c) circle[radius=2pt] node[anchor=south]{$c=(2,-1,1)$};
draw[fill=black] (d) circle[radius=2pt] node[anchor=north]{$d=(1,2,0)$};
%draw guide lines to components
draw[vector guide] (origin) -- (a);
draw[vector guide] (origin) -- (b);
draw[vector guide] (origin) -- (c);
draw[vector guide] (origin) -- (d);
% Draw parametric lines
draw[line width=1pt] (a) -- (b) node[yshift=0.5cm, anchor=south]{$ta + b$};
draw[line width=1pt] (c) -- (d) node[yshift=0.5cm, anchor=south]{$tc + d$};
end{tikzpicture}
end{document}
answered 6 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
add a comment |
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1 Answer
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active
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
You can add a some multiple of vectors using the calc library, which gets auto-loaded with tikz-3dplot. E.g.
draw (c) -- ($(c)+0.5*($(c)-(d)$)$);
draws from c to c plus 0.5 times c-d. This and further examples are contained in
documentclass{article}
usepackage[margin=1in]{geometry}
usepackage{tikz, tikz-3dplot}
usepackage{amsmath}
begin{document}
tdplotsetmaincoords{75}{135}
begin{tikzpicture}[scale=1.1, tdplot_main_coords, axis/.style={->,black,thick},
vector/.style={-stealth,black,very thick},
vector guide/.style={dashed,black,thick},
vector extension/.style={densely dashed,red,-stealth}]
%standard tikz coordinate definition using x, y, z coords
coordinate (origin) at (0,0,0);
coordinate (a) at (-3,0,1);
coordinate (b) at (0,1,2);
coordinate (c) at (2,-1,1);
coordinate (d) at (1,2,0);
draw[vector extension] (c) -- ($(c)+0.5*($(c)-(d)$)$);
draw[vector extension] (d) -- ($(d)+0.5*($(d)-(c)$)$);
draw[vector extension] (a) -- ($(a)+0.5*($(a)-(b)$)$);
draw[vector extension] (b) -- ($(b)+0.5*($(b)-(a)$)$);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,4) node[anchor=south]{$z$};
% Draw two points
draw[fill=black] (a) circle[radius=2pt] node[anchor=north west]{$a=(-3,0,1)$};
draw[fill=black] (b) circle[radius=2pt] node[anchor=south west]{$b=(0,1,2)$};
draw[fill=black] (c) circle[radius=2pt] node[anchor=south]{$c=(2,-1,1)$};
draw[fill=black] (d) circle[radius=2pt] node[anchor=north]{$d=(1,2,0)$};
%draw guide lines to components
draw[vector guide] (origin) -- (a);
draw[vector guide] (origin) -- (b);
draw[vector guide] (origin) -- (c);
draw[vector guide] (origin) -- (d);
% Draw parametric lines
draw[line width=1pt] (a) -- (b) node[yshift=0.5cm, anchor=south]{$ta + b$};
draw[line width=1pt] (c) -- (d) node[yshift=0.5cm, anchor=south]{$tc + d$};
end{tikzpicture}
end{document}
answered 6 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
add a comment |
You can add a some multiple of vectors using the calc library, which gets auto-loaded with tikz-3dplot. E.g.
draw (c) -- ($(c)+0.5*($(c)-(d)$)$);
draws from c to c plus 0.5 times c-d. This and further examples are contained in
documentclass{article}
usepackage[margin=1in]{geometry}
usepackage{tikz, tikz-3dplot}
usepackage{amsmath}
begin{document}
tdplotsetmaincoords{75}{135}
begin{tikzpicture}[scale=1.1, tdplot_main_coords, axis/.style={->,black,thick},
vector/.style={-stealth,black,very thick},
vector guide/.style={dashed,black,thick},
vector extension/.style={densely dashed,red,-stealth}]
%standard tikz coordinate definition using x, y, z coords
coordinate (origin) at (0,0,0);
coordinate (a) at (-3,0,1);
coordinate (b) at (0,1,2);
coordinate (c) at (2,-1,1);
coordinate (d) at (1,2,0);
draw[vector extension] (c) -- ($(c)+0.5*($(c)-(d)$)$);
draw[vector extension] (d) -- ($(d)+0.5*($(d)-(c)$)$);
draw[vector extension] (a) -- ($(a)+0.5*($(a)-(b)$)$);
draw[vector extension] (b) -- ($(b)+0.5*($(b)-(a)$)$);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,4) node[anchor=south]{$z$};
% Draw two points
draw[fill=black] (a) circle[radius=2pt] node[anchor=north west]{$a=(-3,0,1)$};
draw[fill=black] (b) circle[radius=2pt] node[anchor=south west]{$b=(0,1,2)$};
draw[fill=black] (c) circle[radius=2pt] node[anchor=south]{$c=(2,-1,1)$};
draw[fill=black] (d) circle[radius=2pt] node[anchor=north]{$d=(1,2,0)$};
%draw guide lines to components
draw[vector guide] (origin) -- (a);
draw[vector guide] (origin) -- (b);
draw[vector guide] (origin) -- (c);
draw[vector guide] (origin) -- (d);
% Draw parametric lines
draw[line width=1pt] (a) -- (b) node[yshift=0.5cm, anchor=south]{$ta + b$};
draw[line width=1pt] (c) -- (d) node[yshift=0.5cm, anchor=south]{$tc + d$};
end{tikzpicture}
end{document}
answered 6 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
add a comment |
You can add a some multiple of vectors using the calc library, which gets auto-loaded with tikz-3dplot. E.g.
draw (c) -- ($(c)+0.5*($(c)-(d)$)$);
draws from c to c plus 0.5 times c-d. This and further examples are contained in
documentclass{article}
usepackage[margin=1in]{geometry}
usepackage{tikz, tikz-3dplot}
usepackage{amsmath}
begin{document}
tdplotsetmaincoords{75}{135}
begin{tikzpicture}[scale=1.1, tdplot_main_coords, axis/.style={->,black,thick},
vector/.style={-stealth,black,very thick},
vector guide/.style={dashed,black,thick},
vector extension/.style={densely dashed,red,-stealth}]
%standard tikz coordinate definition using x, y, z coords
coordinate (origin) at (0,0,0);
coordinate (a) at (-3,0,1);
coordinate (b) at (0,1,2);
coordinate (c) at (2,-1,1);
coordinate (d) at (1,2,0);
draw[vector extension] (c) -- ($(c)+0.5*($(c)-(d)$)$);
draw[vector extension] (d) -- ($(d)+0.5*($(d)-(c)$)$);
draw[vector extension] (a) -- ($(a)+0.5*($(a)-(b)$)$);
draw[vector extension] (b) -- ($(b)+0.5*($(b)-(a)$)$);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,4) node[anchor=south]{$z$};
% Draw two points
draw[fill=black] (a) circle[radius=2pt] node[anchor=north west]{$a=(-3,0,1)$};
draw[fill=black] (b) circle[radius=2pt] node[anchor=south west]{$b=(0,1,2)$};
draw[fill=black] (c) circle[radius=2pt] node[anchor=south]{$c=(2,-1,1)$};
draw[fill=black] (d) circle[radius=2pt] node[anchor=north]{$d=(1,2,0)$};
%draw guide lines to components
draw[vector guide] (origin) -- (a);
draw[vector guide] (origin) -- (b);
draw[vector guide] (origin) -- (c);
draw[vector guide] (origin) -- (d);
% Draw parametric lines
draw[line width=1pt] (a) -- (b) node[yshift=0.5cm, anchor=south]{$ta + b$};
draw[line width=1pt] (c) -- (d) node[yshift=0.5cm, anchor=south]{$tc + d$};
end{tikzpicture}
end{document}
answered 6 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
You can add a some multiple of vectors using the calc library, which gets auto-loaded with tikz-3dplot. E.g.
draw (c) -- ($(c)+0.5*($(c)-(d)$)$);
draws from c to c plus 0.5 times c-d. This and further examples are contained in
documentclass{article}
usepackage[margin=1in]{geometry}
usepackage{tikz, tikz-3dplot}
usepackage{amsmath}
begin{document}
tdplotsetmaincoords{75}{135}
begin{tikzpicture}[scale=1.1, tdplot_main_coords, axis/.style={->,black,thick},
vector/.style={-stealth,black,very thick},
vector guide/.style={dashed,black,thick},
vector extension/.style={densely dashed,red,-stealth}]
%standard tikz coordinate definition using x, y, z coords
coordinate (origin) at (0,0,0);
coordinate (a) at (-3,0,1);
coordinate (b) at (0,1,2);
coordinate (c) at (2,-1,1);
coordinate (d) at (1,2,0);
draw[vector extension] (c) -- ($(c)+0.5*($(c)-(d)$)$);
draw[vector extension] (d) -- ($(d)+0.5*($(d)-(c)$)$);
draw[vector extension] (a) -- ($(a)+0.5*($(a)-(b)$)$);
draw[vector extension] (b) -- ($(b)+0.5*($(b)-(a)$)$);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,4) node[anchor=south]{$z$};
% Draw two points
draw[fill=black] (a) circle[radius=2pt] node[anchor=north west]{$a=(-3,0,1)$};
draw[fill=black] (b) circle[radius=2pt] node[anchor=south west]{$b=(0,1,2)$};
draw[fill=black] (c) circle[radius=2pt] node[anchor=south]{$c=(2,-1,1)$};
draw[fill=black] (d) circle[radius=2pt] node[anchor=north]{$d=(1,2,0)$};
%draw guide lines to components
draw[vector guide] (origin) -- (a);
draw[vector guide] (origin) -- (b);
draw[vector guide] (origin) -- (c);
draw[vector guide] (origin) -- (d);
% Draw parametric lines
draw[line width=1pt] (a) -- (b) node[yshift=0.5cm, anchor=south]{$ta + b$};
draw[line width=1pt] (c) -- (d) node[yshift=0.5cm, anchor=south]{$tc + d$};
end{tikzpicture}
end{document}
answered 6 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
answered 6 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
answered 6 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
answered 6 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
3,9316 silver badges16 bronze badges
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The continuation of a line in 3D is still a line, so you can make the lines longer with’shorten=<something negative>’.
– Schrödinger's cat
7 hours ago