Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane

We know that equation of line passing through point and parallel to vector is given by

……………..(1)

Given that , the line is passing through (1,2,3)

So,

It is given that line is perpendicular to plane

So, normal to plane ( is parallel to

So, let

Putting and in (1) , equation of line is

⇒