Given : A vector

To find : vector equation of a line passing through the point (1, 2, 3) and parallel

to the vector

Formula used : If a line is parallel to the vector (l + m + n)

and passing through the point (p,q,r) then vector equation of the line is given by

= p + q + r + λ (l + m + n)

Here p = 1 , q = 2 , c = 3 and l = 3 , m = 2 , n = -2

Substituting the above values,we get

= 1 + 2 + 3 + λ (3 + 2 - 2)

The vector equation of a line passing through the point (1, 2, 3) and

parallel to the vector is = + 2 + 3 + λ (3 + 2 - 2)