Find the Cartesian and vector equations of a line which passes through the point (1, 2, 3) and is parallel to the line .
Firstly, we need to write the cartesian form of the given line i.e. of
Cartesian equation is
So the direction ratios of the given line are ‹–1, 7, 3/2›
Vector Equation of line passing through the point (1, 2, 3) i.e. position vector and having direction ratios ‹–1, 7, 3/2› is
And the cartesian equation is