Three Dimensions Mock Tests

The direction ratios of a vector perpendicular to lines with DRs (1,2,3) and (2,3,4) are proportional to:

The equation of the plane passing through (1, −1, 2) and perpendicular to the vector 2î + ĵ − 3k̂ is:

The equation of the plane passing through the line of intersection of the planes x = 1 and y = 2 and perpendicular to the plane x + y - z = 0 is:

The equation of the plane passing through the point (1, 2, 3) and perpendicular to the vector 2i + j − 2k is:

The distance between the points (1, 2, 3) and (4, 6, 7) is:

The distance of the point (1, 2, 3) from the plane 2x − y + z = 4 is:

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

The distance of the point (1, 2, 3) from the origin is: