Multivariable Calculus

[Robertinho!]

Line A lies in the xy-plane and bisects its 1st and 3rd quadrants. Line B lies in the zx-plane and bisects its 1st and 3rd quadrants. Find the equation of the plane determined by these two lines.




Any idea?!

 

[pka]

Line A lies in the xy-plane and bisects its 1st and 3rd quadrants. Line B lies in the zx-plane and bisects its 1st and 3rd quadrants. Find the equation of the plane determined by these two lines.

The direction of line A is \(\displaystyle <1,1,0>\).
The direction of line B is \(\displaystyle <0,1,1>\).
What is the normal of the plane containing \(\displaystyle A~\&~B~?\)