Write the vector equation of a line passing through the point (1, -1, 2) and parallel to the line whose equations are

Given : A line

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

to the line whose equations are

Formula used : If a line is parallel to = = and passing through the point (p,q,r) then vector equation of the line is given by = p + q + r + λ (l + m + n)

The given line is = =

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

Substituting the above values,we get

= 1 - 1 + 2 + λ (1 + 2 + 2)

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

parallel to the line whose equations are is given by

= - + 2 + λ ( + 2 + 2)