Question
Find the vector and Cartesian form of the equation of the plane passing through the point (1, 2, –4) and parallel to the lines
and 
Solution
Here, 
The vector equation of plane is
Cartesian equation of plane is
or 
or (–3 – 6) (x – 1) – (–2 – 6) (y – 2) + (2 – 3) (z + 4) = 0
or –9 (x– 1) + 8 (y – 2) – (z + 4) = 0
or –9x + 9 + 8y –16-z – 4 = 0
or –9 x + 8 y – z – 11 = 0 or 9 x – 8 y + z + 11 = 0.
