Three Dimensional Geometry Mock Tests

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

The equation of the plane passing through the point (1, 2, 3) and having normal vector 2î + 3ĵ - k is:

The direction cosines of the line joining the points (1, 0, −1) and (3, 2, 1) are:

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

The direction cosines of a line that makes equal angles with the three coordinate axes are:

The distance between the points P(1, −1, 2) and Q(3, 0, 6) is:

The direction cosines of the line joining the points (1, 2, 3) and (4, 6, 8) are:

The direction cosines of the line perpendicular to the lines with direction ratios (2, −1, 1) and (1, 1, 2) are: