On Tuesday, February 5, 2013 8:24:31 PM UTC-8, Asad Akhlaq wrote:
>
> Hi,
>
> If anyone can help me to find the line of intersection of two planes. I
> can plot two planes in sage as follows:
>
> plane1 = plot3d((6 - 3*x - 2*y)/6, (x, -5, 5), (y, -6, 6))
> plane2 = plot3d((2 + 2*x + 9*y)/11, (x, -5, 5), (y, -6, 6))
>
> plane1 + plane2 shows me the 3D graph. I can see the line of intersection
> of these planes. How can I get the actual values (points) of this line?
> Actually my main target is to find the point of intersection of two or more
> hyperplanes in higher dimensions (dimensions 6, 7 ,8). If anyone can just
> give me some hints in this regards?
>
I think this should do it:
sage: var('x y z')
sage: eqn1 = (z == (6 - 3*x - 2*y)/6)
sage: eqn2 = (z == (2 + 2*x + 9*y)/11)
sage: solve([eqn1, eqn2], x, y)
[[x == -76/23*z + 58/23, y == 45/23*z - 18/23]]
--
John
--
You received this message because you are subscribed to the Google Groups
"sage-support" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-support?hl=en.
For more options, visit https://groups.google.com/groups/opt_out.
