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Question: Finding the value intersection between two lines in 3d using geom3d-package

Question:Finding the value intersection between two lines in 3d using geom3d-package

MapleUser2017 175 Maple
geom3d line intersection parametric
April 04 2018
0

Hi I am trying to get Maple to find for which value k two parametric lines intersect using geom3d package. Is that possible?

my code is as follows. 

restart; with(geom3d);

#First I define the the point and vector to construct the line l.

point(P, 1, 0, -2);
 
v := [1, 1, 2];
                    
line(l, {P, v});

Equation(l) = [1 + t, t, -2 + 2 t]
 

#Next I try to define the line m. 
line(m, [k*s+4, 2*s, 3*s], s)

but how (if possible to I get the line to take in the second paramter k? 

and if its possible? which syntax do I use in the intersection-command to get Maple to print out the value k? so it still uses the parameter s for the intersection? 

best regards 

Fred
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