The vector equation of a line is Find its Cartesian equation.

Given : The vector equation of a line is

To find : Cartesian equation of the line

Formula used : If the vector equation of the line is given by

= p + q + r + λ (l + m + n) then its Cartesian equation is given by

= =

The vector equation of a line is

Here p = 2, q = 1, r = -4 and l = 1,m = -1,n = -1

Cartesian equation is given by

= =

= =

Cartesian equation of the line is given by = =