how one can write a nice vector parser, something that does pgfvecparse{A=B-C; D=E x F;}












2















I am often use coordinates of points to draw figure in geometry. I know that, we can add, minus coordinates of points, example



begin{tikzpicture}
tkzDefPoints{0/0/C',3/0/D',1/1/B'}
coordinate (A') at ($(B')+(D')-(C')$);
end{tikzpicture}


If I have two points A(1,2,3) and B(4,5,6), how can I define vector AB as (B)-(A)?










share|improve this question





























    2















    I am often use coordinates of points to draw figure in geometry. I know that, we can add, minus coordinates of points, example



    begin{tikzpicture}
    tkzDefPoints{0/0/C',3/0/D',1/1/B'}
    coordinate (A') at ($(B')+(D')-(C')$);
    end{tikzpicture}


    If I have two points A(1,2,3) and B(4,5,6), how can I define vector AB as (B)-(A)?










    share|improve this question



























      2












      2








      2








      I am often use coordinates of points to draw figure in geometry. I know that, we can add, minus coordinates of points, example



      begin{tikzpicture}
      tkzDefPoints{0/0/C',3/0/D',1/1/B'}
      coordinate (A') at ($(B')+(D')-(C')$);
      end{tikzpicture}


      If I have two points A(1,2,3) and B(4,5,6), how can I define vector AB as (B)-(A)?










      share|improve this question
















      I am often use coordinates of points to draw figure in geometry. I know that, we can add, minus coordinates of points, example



      begin{tikzpicture}
      tkzDefPoints{0/0/C',3/0/D',1/1/B'}
      coordinate (A') at ($(B')+(D')-(C')$);
      end{tikzpicture}


      If I have two points A(1,2,3) and B(4,5,6), how can I define vector AB as (B)-(A)?







      tikz-pgf tikzmark






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 1 hour ago







      minhthien_2016

















      asked 1 hour ago









      minhthien_2016minhthien_2016

      1,4101917




      1,4101917






















          1 Answer
          1






          active

          oldest

          votes


















          1














          If you use the coordinates only for drawing, simply define each components of points as variable and then define coordinate points using them. For example:



          documentclass[margin=3.14159mm]{standalone}
          usepackage{tikz,tikz-3dplot}

          begin{document}
          tdplotsetmaincoords{60}{125}
          begin{tikzpicture}
          [scale=0.9,
          tdplot_main_coords,
          axis/.style={-latex,thick},
          vector/.style={-stealth,red,very thick},
          vector guide/.style={dashed,thick}]

          %standard tikz coordinate definition using x, y, z coords
          % A(2,4,3), B(3,-1,4)
          defAx{2}
          defAy{4}
          defAz{3}
          defBx{-1}
          defBy{3}
          defBz{4}
          coordinate (O) at (0,0,0);
          coordinate (A) at (Ax,Ay,Az);
          coordinate (B) at (Bx,By,Bz);
          %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) -- (0,0,5) node[anchor=south]{$z$};
          %Dot at point
          fill [blue] (A) circle (2pt);
          fill [blue] (B) circle (2pt);
          %draw a vector from O to A and O to B
          draw[vector guide] (O)node[left=1mm]{} -- (A)node[above=-1mm,right]{$P_1(Ax,Ay,Az)$};
          draw[vector guide] (O) -- (B)node[above=-1mm,right]{$P_2(Bx,By,Bz)$};

          %draw vector D=AB
          draw[vector] (A) -- (B)node[midway,above,sloped]{$mathbf{D}$};
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer
























          • Would you mind if I added a supplement to your answer?

            – Steven B. Segletes
            43 mins ago












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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









          1














          If you use the coordinates only for drawing, simply define each components of points as variable and then define coordinate points using them. For example:



          documentclass[margin=3.14159mm]{standalone}
          usepackage{tikz,tikz-3dplot}

          begin{document}
          tdplotsetmaincoords{60}{125}
          begin{tikzpicture}
          [scale=0.9,
          tdplot_main_coords,
          axis/.style={-latex,thick},
          vector/.style={-stealth,red,very thick},
          vector guide/.style={dashed,thick}]

          %standard tikz coordinate definition using x, y, z coords
          % A(2,4,3), B(3,-1,4)
          defAx{2}
          defAy{4}
          defAz{3}
          defBx{-1}
          defBy{3}
          defBz{4}
          coordinate (O) at (0,0,0);
          coordinate (A) at (Ax,Ay,Az);
          coordinate (B) at (Bx,By,Bz);
          %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) -- (0,0,5) node[anchor=south]{$z$};
          %Dot at point
          fill [blue] (A) circle (2pt);
          fill [blue] (B) circle (2pt);
          %draw a vector from O to A and O to B
          draw[vector guide] (O)node[left=1mm]{} -- (A)node[above=-1mm,right]{$P_1(Ax,Ay,Az)$};
          draw[vector guide] (O) -- (B)node[above=-1mm,right]{$P_2(Bx,By,Bz)$};

          %draw vector D=AB
          draw[vector] (A) -- (B)node[midway,above,sloped]{$mathbf{D}$};
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer
























          • Would you mind if I added a supplement to your answer?

            – Steven B. Segletes
            43 mins ago
















          1














          If you use the coordinates only for drawing, simply define each components of points as variable and then define coordinate points using them. For example:



          documentclass[margin=3.14159mm]{standalone}
          usepackage{tikz,tikz-3dplot}

          begin{document}
          tdplotsetmaincoords{60}{125}
          begin{tikzpicture}
          [scale=0.9,
          tdplot_main_coords,
          axis/.style={-latex,thick},
          vector/.style={-stealth,red,very thick},
          vector guide/.style={dashed,thick}]

          %standard tikz coordinate definition using x, y, z coords
          % A(2,4,3), B(3,-1,4)
          defAx{2}
          defAy{4}
          defAz{3}
          defBx{-1}
          defBy{3}
          defBz{4}
          coordinate (O) at (0,0,0);
          coordinate (A) at (Ax,Ay,Az);
          coordinate (B) at (Bx,By,Bz);
          %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) -- (0,0,5) node[anchor=south]{$z$};
          %Dot at point
          fill [blue] (A) circle (2pt);
          fill [blue] (B) circle (2pt);
          %draw a vector from O to A and O to B
          draw[vector guide] (O)node[left=1mm]{} -- (A)node[above=-1mm,right]{$P_1(Ax,Ay,Az)$};
          draw[vector guide] (O) -- (B)node[above=-1mm,right]{$P_2(Bx,By,Bz)$};

          %draw vector D=AB
          draw[vector] (A) -- (B)node[midway,above,sloped]{$mathbf{D}$};
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer
























          • Would you mind if I added a supplement to your answer?

            – Steven B. Segletes
            43 mins ago














          1












          1








          1







          If you use the coordinates only for drawing, simply define each components of points as variable and then define coordinate points using them. For example:



          documentclass[margin=3.14159mm]{standalone}
          usepackage{tikz,tikz-3dplot}

          begin{document}
          tdplotsetmaincoords{60}{125}
          begin{tikzpicture}
          [scale=0.9,
          tdplot_main_coords,
          axis/.style={-latex,thick},
          vector/.style={-stealth,red,very thick},
          vector guide/.style={dashed,thick}]

          %standard tikz coordinate definition using x, y, z coords
          % A(2,4,3), B(3,-1,4)
          defAx{2}
          defAy{4}
          defAz{3}
          defBx{-1}
          defBy{3}
          defBz{4}
          coordinate (O) at (0,0,0);
          coordinate (A) at (Ax,Ay,Az);
          coordinate (B) at (Bx,By,Bz);
          %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) -- (0,0,5) node[anchor=south]{$z$};
          %Dot at point
          fill [blue] (A) circle (2pt);
          fill [blue] (B) circle (2pt);
          %draw a vector from O to A and O to B
          draw[vector guide] (O)node[left=1mm]{} -- (A)node[above=-1mm,right]{$P_1(Ax,Ay,Az)$};
          draw[vector guide] (O) -- (B)node[above=-1mm,right]{$P_2(Bx,By,Bz)$};

          %draw vector D=AB
          draw[vector] (A) -- (B)node[midway,above,sloped]{$mathbf{D}$};
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer













          If you use the coordinates only for drawing, simply define each components of points as variable and then define coordinate points using them. For example:



          documentclass[margin=3.14159mm]{standalone}
          usepackage{tikz,tikz-3dplot}

          begin{document}
          tdplotsetmaincoords{60}{125}
          begin{tikzpicture}
          [scale=0.9,
          tdplot_main_coords,
          axis/.style={-latex,thick},
          vector/.style={-stealth,red,very thick},
          vector guide/.style={dashed,thick}]

          %standard tikz coordinate definition using x, y, z coords
          % A(2,4,3), B(3,-1,4)
          defAx{2}
          defAy{4}
          defAz{3}
          defBx{-1}
          defBy{3}
          defBz{4}
          coordinate (O) at (0,0,0);
          coordinate (A) at (Ax,Ay,Az);
          coordinate (B) at (Bx,By,Bz);
          %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) -- (0,0,5) node[anchor=south]{$z$};
          %Dot at point
          fill [blue] (A) circle (2pt);
          fill [blue] (B) circle (2pt);
          %draw a vector from O to A and O to B
          draw[vector guide] (O)node[left=1mm]{} -- (A)node[above=-1mm,right]{$P_1(Ax,Ay,Az)$};
          draw[vector guide] (O) -- (B)node[above=-1mm,right]{$P_2(Bx,By,Bz)$};

          %draw vector D=AB
          draw[vector] (A) -- (B)node[midway,above,sloped]{$mathbf{D}$};
          end{tikzpicture}
          end{document}


          enter image description here







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 1 hour ago









          ferahfezaferahfeza

          7,18411933




          7,18411933













          • Would you mind if I added a supplement to your answer?

            – Steven B. Segletes
            43 mins ago



















          • Would you mind if I added a supplement to your answer?

            – Steven B. Segletes
            43 mins ago

















          Would you mind if I added a supplement to your answer?

          – Steven B. Segletes
          43 mins ago





          Would you mind if I added a supplement to your answer?

          – Steven B. Segletes
          43 mins ago


















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