Find the cartesian equation of the line which passes through the point (–2, 4, –5) and parallel to the line given by
We know that
The Cartesian equation of a line through a point (x1, y1, z1) and having direction ratios a, b, c is .
Here, The point (x1, y1, z1) is (-2, 4, -5) and the direction ratios are:
a = 3, b = 5, c = 6
⇒ The Cartesian equation of the required line is: