What is the Cartesian equation of a line in 3D geometry?
The Cartesian equation of a line in 3D geometry is given by the system of equations:
(x - x
0
) / a = (y - y
0
) / b = (z - z
0
) / c
Here, (x
0
, y
0
, z
0
) is a point on the line, and (a, b, c) are the direction ratios of the line. This equation relates the coordinates of any point on the line.