# Finding equation of plane.

• February 13th 2011, 02:20 PM
rlkmg
Finding equation of plane.
Im a bit stuck here, any help will be appreciated, thanks..

Find the equation of the plane containing two parallel lines which are: r=a+(alpha)u and r=b+(beta)u
• February 13th 2011, 02:33 PM
Plato
Quote:

Originally Posted by rlkmg
Im a bit stuck here, any help will be appreciated, thanks..
Find the equation of the plane containing two parallel lines which are: r=a+(alpha)u and r=b+(beta)u

Assuming that these are indeed two lines then the normal to the planes is $\vec{N}=\vec{ab}\times \vec{u}$.
Let $\vec{R}=-\vec{a}$ so the plane is $\vec{N}\cdot\vec{R}=0.$