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mathmaple

Intersection of lines in maple

How do I find the intersection of two lines in maple when plotted as follows:

a:=line([1,-1,-1],[0,0,1]):
b:=line([1,1,1],[0,-1,0]):

I attempted to use the intersection command but it returned this:

intersection(CURVES([[1., -1., -1.], [0., 0., 1.]]), CURVES([[1., 1., 1.], [0., -1., 0.]]))

Thanks very much for any help

Solution

  • line's first argument is the name of the line you are symbolically defining.

    Instead of using 

    a:=line([1,-1,-1],[0,0,1]):
b:=line([1,1,1],[0,-1,0]):

    Try the following instead:

    with(geom3d): 
point(p1,[1,-1,-1]):
point(p2,[0,0,1]):
point(p3,[1,1,1]):
point(p4,[0,-1,0]):
line(l1,[p1, p2]):
line(l2,[p3, p4]):
intersection(P,l1,l2):
coordinates(P)

    See the help on intersection and line for more detail.