3D Coordinate Geometry Mock Tests

The distance between points (1, 2, 3) and (4, 6, 8) in 3D space is:

The shortest distance between the lines (x−1)/2 = (y−2)/3 = (z−3)/4 and (x−2)/3 = (y−4)/4 = (z−5)/5 is

The direction cosines of the line passing through (1, 0, -1) and (3, 2, 1) are proportional to:

The equation of the plane passing through (1, -1, 2) and perpendicular to the vector 2i + j - k is:

The distance between the points A(1, -2, 3) and B(4, 0, -1) is:

The direction cosines of a line with direction ratios (1, 2, 2) are:

The direction cosines of the line joining (1, 0, 0) and (4, 5, 0) are:

The angle between the lines (x−1)/1 = (y−2)/2 = (z−3)/−1 and (x−0)/2 = (y−1)/−1 = (z−1)/1 is: