3D Coordinate Geometry Mock Tests

The length of the perpendicular from the origin to the plane passing through (1, −1, 1) and having normal vector 2i − 3j + 6k is:

The angle between the lines with direction ratios (1, 1, 1) and (1, −1, 0) is:

The distance between the planes 2x + 3y − z = 4 and 4x + 6y − 2z = 8 is

The angle between the lines with direction ratios (1, −1, 2) and (2, 1, −1) is:

The lines x/1 = y/2 = z/3 and x/4 = y/5 = z/6 and x/a = y/b = z/c are coplanar if:

The equation of the plane passing through the point (4, 3, 2) and perpendicular to the vector 2i⃗ + j⃗ − 2k⃗ is:

The direction cosines of the line perpendicular to the planes 2x − y + 2z = 3 and x + 2y − z = 5 are proportional to:

The angle between the line (x-1)/√3 = (y-2)/1 = z/0 and the positive y-axis is: