. . Equation of plane containing two non-parallel coplanar lines (a) Parametric form of vector equation Let sb and r td be two non-parallel coplanar lines. Then b d ≠ .
Let P be any point on the plane and let r be its position vector. Then, the vectors r a b d − , , as well as r c b d − , , are also coplanar. So, we get r tb sd or r tb sd . Hence, the vector equation in parametric form is r tb sd or r tb sd Fig.
. C c ( ) L L A a ( ) Vector - - Applications of Vector Algebra (b) Non-parametric form of vector equation Let r sb and r td be two non-parallel coplanar lines. Then b d ≠ . Let P be any point on the plane and let r be its position vector.
Then, the vectors r a b d − , , as well as r c b d − , , are also coplanar. So, we get r b d