Question
For the cartesian and vector equation of a line which passes through the point (1, 2, 3) and is parallel to the line 
Solution
The given line is
or
Its direction ratios are –2, 14, 3
∴ cartesian equation of line through (1, 2, 3) and having direction ratios –2, 14, 3 are
Now,
∴ vector equation of line is
or
or
Its direction ratios are –2, 14, 3
∴ cartesian equation of line through (1, 2, 3) and having direction ratios –2, 14, 3 are
Now,
∴ vector equation of line is
or
