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Question: Intersection of plane and line ?

Question:Intersection of plane and line ?

MapleUser2017 170 Maple
geom3d line intersection plane
October 17 2017
0

Lets say I want to find the intersection point between the line l in parametric form and plane p, both mentioned in the Maple code below. Is there smarter way than using the solve method that I use the two final lines? 

 

with(geom3d);
plane(p, 2*x+y-3*z-3 = 0, [x, y, z]);
                               p
line(l, [-1+3*t, 1+t, 2-t], t);
                               l
intersection(I, p, l);
                               I
solve({x = -1+3*t, y = 1+t, z = 2-t, 2*x+y-3*z-3 = 0}, {t, x, y, z});
                  {t = 1, x = 2, y = 2, z = 1}
 
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