Find the vector equation of a line passing through (2, –1, 1) and parallel to the line whose equations are

Question

Philoid · Accepted Answer

the direction ratios of the line

Are‹

So in this question the direction ratios of the given line are ‹2, 7, –3›

So the vector equation of

Here

vector equation of a line is

so the vector equation of the line is

Here x = 2 + 2, y = –1 + 7, z = 1–3

Hence the cartesian equation of the above line is