See Section 13.16.11 for checking for parallels in two-dimensional geometry.
The is_parallel command determines if two objects are parallel.
Examples.
L1:= line([0,0,0],[-1,-1,-1]) |
L2:= line([2,3,-2],[-1,-1,-1]) |
is_parallel(L1,L2) |
0 |
P:= plane([-1,-1,-1],[1,2,-3],[0,0,0]) |
is_parallel(P,L2) |
1 |
P1:= plane([0,0,0],[1,2,-3],[1,1,-2]) |
P2:= plane([1,1,0],[2,3,-3],[2,2,-2]) |
is_parallel(P1,P2) |
1 |