Question

Find the equation of the line in vector and in Cartesian form that passes through the point with position vector 2i-j+4k  and is in the direction i+2j-k.

Answer 1

It is given that the line passes through the point with position vector

It is known that a line through a point with position vector and parallel to is given
by

This is the required equation of the line in vector form.

This is the required equation of the given line in Cartesian form.