Write the vector equation of a line whose Cartesian equations are

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)

Here a = 5 , b = -4 , c = 6 and l = 3 , m = 7 , n = -2

Substituting the above values,we get

= 5 - 4 + 6 + λ (3 + 7 - 2)

The vector equation of a line is given by

= 5 - 4 + 6 + λ (3 + 7 - 2)