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25.11.4  Checking whether lines and/or planes in space are perpendicular

See Section 24.15.12 for checking for perpendicularity in two-dimensional geometry.

The is_perpendicular command determines if two objects are perpendicular.

Note that two lines must be coplanar to be perpendicular.

Examples

is_perpendicular(line([2,3,-2],[-1,-1,-1]),line([1,0,0],[1,2,8]))
     
0           
P1:=plane([0,0,0],[1,2,-3],[1,1,-2]); P2:=plane([-1,-1,-1],1,2,-3],[0,0,0]); is_perpendicular(P1,P2)
     
1           
L:=plane([2,3,-2],[-1,-1,-1]); is_perpendicular(L,P1)
     
0           

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