The Cartesian equations of a line are Find its vector equation.

Given : A line

To find : vector equation of a line

Formula used : If a line is given by = = = λ then vector equation of the line is given by = a + b + c + λ (l + m + n)

The given line is = =

Here a = 1 , b = -2 , c = 5 and l = 2 , m = 3 , n = -1

Substituting the above values,we get

= 1 - 2 + 5 + λ (2 + 3 - 1)

The vector equation of a line is given by

= 1 - 2 + 5 + λ (2 + 3 - 1)