Question
Find the vector equation of the line passing through the point (1, 2, – 4) and perpendicular to the lines:
Solution
Let a. b, c be the direction ratios of the line passing through the point (1, 2, – 4)
∴ equation of line is
...(1)
Since this line is perpendicular to the lines
and 
Solving these equations, we get,
∴ line passes through the point (1, 2,–4) with position vector 
is parallel to 
∴ equation of line is
or 
