2D

Question

我想知道在MATLAB中绘制矢量的最简单方法。例如：

a = [2 3 5];
b = [1 1 0];
c = a + b;

我想将此向量添加可视化为头对尾/平行四边形方法。如何用箭头绘制这些矢量？

Answer 1

a = [2 3 5];
b = [1 1 0];
c = a+b;

starts = zeros(3,3);
ends = [a;b;c];

quiver3(starts(:,1), starts(:,2), starts(:,3), ends(:,1), ends(:,2), ends(:,3))
axis equal

Answer 2

我同意Aamir arrow.m Erik Johnson提交的MathWorks File Exchange是一个非常好的选择。您可以使用它来说明different methods of vector addition，如此：

Tip-to-tail方法：

o = [0 0 0];  %# Origin
a = [2 3 5];  %# Vector 1
b = [1 1 0];  %# Vector 2
c = a+b;      %# Resultant
arrowStarts = [o; a; o];        %# Starting points for arrows
arrowEnds = [a; c; c];          %# Ending points for arrows
arrow(arrowStarts,arrowEnds);   %# Plot arrows

平行四边形法：

o = [0 0 0];  %# Origin
a = [2 3 5];  %# Vector 1
b = [1 1 0];  %# Vector 2
c = a+b;      %# Resultant
arrowStarts = [o; o; o];        %# Starting points for arrows
arrowEnds = [a; b; c];          %# Ending points for arrows
arrow(arrowStarts,arrowEnds);   %# Plot arrows
hold on;
lineX = [a(1) b(1); c(1) c(1)];  %# X data for lines
lineY = [a(2) b(2); c(2) c(2)];  %# Y data for lines
lineZ = [a(3) b(3); c(3) c(3)];  %# Z data for lines
line(lineX,lineY,lineZ,'Color','k','LineStyle',':');  %# Plot lines

Answer 3

我在arrow(start, end)上找到了这个MATLAB Central函数，这对于绘制具有真实幅度和方向的矢量非常有用。

Answer 4

我是这样做的，

2D

% vectors I want to plot as rows (XSTART, YSTART) (XDIR, YDIR)
rays = [
  1 2   1 0 ;
  3 3   0 1 ;
  0 1   2 0 ;
  2 0   0 2 ;
] ;

% quiver plot
quiver( rays( :,1 ), rays( :,2 ), rays( :,3 ), rays( :,4 ) );

3D

% vectors I want to plot as rows (XSTART, YSTART, ZSTART) (XDIR, YDIR, ZDIR)
rays = [
  1 2 0  1 0 0;
  3 3 2  0 1 -1 ;
  0 1 -1  2 0 8;
  2 0 0  0 2 1;
] ;

% quiver plot
quiver3( rays( :,1 ), rays( :,2 ), rays( :,3 ), rays( :,4 ), rays( :,5 ), rays( :,6 ) );

基于quiver和quiver3文档

Answer 5

我不确定如何在3D中执行此操作，但在2D中您可以使用compass命令。

Answer 6

            % draw simple vector from pt a to pt b
            % wtr : with respect to
            scale=0;%for drawin  vectors with true scale
            a = [10 20 30];% wrt origine O(0,0,0)
            b = [10 10 20];% wrt origine O(0,0,0)

            starts=a;% a now is the origine of my vector to draw (from a to b) so we made a translation from point O to point  a = to vector a 
            c = b-a;% c is the new coordinates of b wrt origine a 
            ends=c;%
            plot3(a(1),a(2),a(3),'*b')
            hold on
            plot3(b(1),b(2),b(3),'*g')

             quiver3(starts(:,1), starts(:,2), starts(:,3), ends(:,1), ends(:,2), ends(:,3),scale);% Use scale = 0 to plot the vectors without the automatic scaling.
            % axis equal
            hold off

如何在MATLAB中绘制矢量（物理2D / 3D矢量）？

6 个答案:

2D

3D