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.

Question

Philoid · Accepted Answer

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