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.


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