Question
The cartesian equations of a line are 3 x + 1 = 6 y – 2 = 1 – z. Find the fixed point through which it passes, its direction ratios and also its vector equation.
Solution
The cartesian equations of line are

or
or
.
or
This is symmetric form of the given line.
This line passes through fixed point
and has direction ratios 2, 1, -6.
Here
vector equation of line is

or

or

or

or

This is symmetric form of the given line.
This line passes through fixed point

Here



or
