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

The vector equation of a line passing through a point with position vector and parallel to vector is

⇒

Given, the line passes through (1,2,3)

So,

Finding normal of plane

Comparing with ,

Since line is perpendicular to plane, the line will be parallel of the plane

∴

Hence,

This is the required vector equation of line.