Find the intersection of a line with a plane: Difference between revisions

add REXX
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(add REXX)
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No output -- all tests passed!
 
=={{header|REXX}}==
<lang rexx>/* REXX */
Parse Value '0 0 1' With n.1 n.2 n.3 /* Normal Vector of the plane */
Parse Value '0 0 5' With p.1 p.2 p.3 /* Point in the plane */
Parse Value '0 0 10' With a.1 a.2 a.3 /* Point of the line */
Parse Value '0 -1 -1' With v.1 v.2 v.3 /* Vector of the line */
 
a=n.1
b=n.2
c=n.3
d=n.1*p.1+n.2*p.2+n.3*p.3 /* Parameter form of the plane */
Say a'*x +' b'*y +' c'*z =' d
 
t=(d-(a*a.1+b*a.2+c*a.3))/(a*v.1+b*v.2+c*v.3)
 
x=a.1+t*v.1
y=a.2+t*v.2
z=a.3+t*v.3
 
Say 'Intersection: P('||x','y','z')'</lang>
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<pre>0*x + 0*y + 1*z = 5
Intersection: P(0,-5,5)</pre>
 
=={{header|Sidef}}==
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