Find a vector
parallel to the intersection of the planes
and
.
![\vec v](http://webwork.cs.keele.ac.uk/webwork2_files/tmp/equations/ce/4055bad8e4b373649872bf45b83e591.png)
![x-4y-4z = 2](http://webwork.cs.keele.ac.uk/webwork2_files/tmp/equations/3e/21b2462c06aca11654680500eec0951.png)
![2y-2x-z = 7](http://webwork.cs.keele.ac.uk/webwork2_files/tmp/equations/1f/7f6058d9a0e1a6412939389e72c4be1.png)
As i am in a bit of a pinch regarding time for development. I was wondering if anyone has developed (and is prepared to share with me) questions relating to the general vector form of;
equations for a lines in 2d of the form (please excuse the TeX)
\bm{l} = \vec{OA} + \lambda \vec{AB}
such as
\bm{l} = <2,-1> + \lambda <2,4>
and planes in 3d
\bm{p} = \vec{OA} + \lambda \vec{AB} + \mu \vec{AC}
such as
\bm{p} = <4,2,0> + \lambda <-1,-1,1> + \mu <0,-3,1>