Find the Cartesian and vector equations of a line which passes through the point (1, 2, 3) and is parallel to the line .

Question

Philoid · Accepted Answer

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