Find the vector equation for the line which passes through the point (1, 2, 3) and parallel to the vector Reduce the corresponding equation in Cartesian from.

here the vector for point A(1, 2, 3) is and the vector parallel to which the line is required is

vector equation of a line is

here &

so the vector equation of the line is

Here x = 1 + , y = 2–2, z = 3 + 3

Hence the cartesian equation of the above line is