−−→AB=3^i−^j+^k and −−→CD=−3^i+2^j+4^k are two vectors.The position vectors of the points A and C are 6^i+7^j+4^k and −9^i+2^j,respectively. Find the position of vector of a point P on the line AB and a point Q on the line CD such that −−→PQ is perpendicular to −−→AB and −−→CD both.

−−→AB=3^i−^j+^k and −−→CD=−3^i+2^j+4^k are two vectors

1.	−−→AB=3^i−^j+^k and −−→CD=−3^i+2^j+4^k are two vectors.The position vectors of the points A and C are 6^i+7^j+4^k and −9^i+2^j,respectively. Find the position of vector of a point P on the line AB and a point Q on the line CD such that −−→PQ is perpendicular to −−→AB and −−→CD both.
Answer» $- - \to A B = 3^i -^j +^k a n d - - \to C D = - 3^i + 2^j + 4^k$ are two vectors.The position vectors of the points A and C are $6^i + 7^j + 4^k a n d - 9^i + 2^j$ ,respectively. Find the position of vector of a point P on the line AB and a point Q on the line CD such that $- - \to P Q$ is perpendicular to $- - \to A B a n d - - \to C D$ both.