Three Dimensional Geometry Mock Tests

The direction cosines of the line joining the origin to the point (2, -1, 2) are:

The distance between the points (1, 2, 3) and (4, 6, 3) is:

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

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

The direction cosines of the line joining the points (1, 2, 3) and (−1, 0, 4) are:

The vector equation of the line passing through the point with position vector 2î − ĵ + 3k̂ and parallel to the vector î + 2ĵ − k̂ is:

The equation of the plane passing through the point (1, 2, 3) and having normal vector 2î − ĵ + 4k̂ is:

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