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extending lines in 3d graph
How to draw inside a TikZ node, using node style?Make tikzpicture white on blackUse of overlay command in a graphTikZ: Drawing an arc from an intersection to an intersectionRelative transparency in TikZ?Line up nested tikz enviroments or how to get rid of themtikz and pgfdeclareshape why the text is not at the center anchor?How to draw a vector in a 3D spaceAutomatically find which nodes are closest, to aid drawing lines within a TikZ matrixTikz image within a defined box (& the textpos package)
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
2
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.
documentclassarticle
usepackage[margin=1in]geometry
usepackagetikz, tikz-3dplot
usepackageamsmath
begindocument
tdplotsetmaincoords75135
begintikzpicture [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]$tc + d$;
endtikzpicture
enddocument
tikz-pgf
asked 9 hours ago
Evan KimEvan Kim
2245 bronze badges
add a comment |
2
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.
documentclassarticle
usepackage[margin=1in]geometry
usepackagetikz, tikz-3dplot
usepackageamsmath
begindocument
tdplotsetmaincoords75135
begintikzpicture [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]$tc + d$;
endtikzpicture
enddocument
tikz-pgf
asked 9 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
8 hours ago
add a comment |
2
2
2
1
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.
documentclassarticle
usepackage[margin=1in]geometry
usepackagetikz, tikz-3dplot
usepackageamsmath
begindocument
tdplotsetmaincoords75135
begintikzpicture [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]$tc + d$;
endtikzpicture
enddocument
tikz-pgf
asked 9 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.
documentclassarticle
usepackage[margin=1in]geometry
usepackagetikz, tikz-3dplot
usepackageamsmath
begindocument
tdplotsetmaincoords75135
begintikzpicture [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]$tc + d$;
endtikzpicture
enddocument
tikz-pgf
tikz-pgf
asked 9 hours ago
Evan KimEvan Kim
2245 bronze badges
asked 9 hours ago
Evan KimEvan Kim
2245 bronze badges
asked 9 hours ago
Evan KimEvan Kim
2245 bronze badges
asked 9 hours ago
Evan KimEvan Kim
2245 bronze badges
asked 9 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
8 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
8 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
8 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
8 hours ago
add a comment |
1 Answer
1
active
oldest
votes
4
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
documentclassarticle
usepackage[margin=1in]geometry
usepackagetikz, tikz-3dplot
usepackageamsmath
begindocument
tdplotsetmaincoords75135
begintikzpicture[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]$tc + d$;
endtikzpicture
enddocument
answered 7 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
4
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
documentclassarticle
usepackage[margin=1in]geometry
usepackagetikz, tikz-3dplot
usepackageamsmath
begindocument
tdplotsetmaincoords75135
begintikzpicture[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]$tc + d$;
endtikzpicture
enddocument
answered 7 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
add a comment |
4
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
documentclassarticle
usepackage[margin=1in]geometry
usepackagetikz, tikz-3dplot
usepackageamsmath
begindocument
tdplotsetmaincoords75135
begintikzpicture[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]$tc + d$;
endtikzpicture
enddocument
answered 7 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
add a comment |
4
4
4
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
documentclassarticle
usepackage[margin=1in]geometry
usepackagetikz, tikz-3dplot
usepackageamsmath
begindocument
tdplotsetmaincoords75135
begintikzpicture[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]$tc + d$;
endtikzpicture
enddocument
answered 7 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
documentclassarticle
usepackage[margin=1in]geometry
usepackagetikz, tikz-3dplot
usepackageamsmath
begindocument
tdplotsetmaincoords75135
begintikzpicture[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]$tc + d$;
endtikzpicture
enddocument
answered 7 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
answered 7 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
answered 7 hours ago
Schrödinger's catSchrödinger's cat
3,9316 silver badges16 bronze badges
answered 7 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
8 hours ago