Three Dimensional Geometry Mock Tests

The direction cosines of the line passing through the points (1, −1, 2) and (3, 3, 6) are:

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

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

The angle between the plane r⃗ · (2î − ĵ + k̂) = 8 and the x-axis is:

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

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

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