Question
The cartesian equations of a line are
Find a vector equation for the line.
Solution
The cartesian equations of line are

∴ line passes through (5, - 4, 6) and has direction-ratios 3, 7, 2

Let
be the position vector of any point on the given line
∴ the vector equation of line is

or
where λ is a parameter.

∴ line passes through (5, - 4, 6) and has direction-ratios 3, 7, 2

Let

∴ the vector equation of line is

or

where λ is a parameter.