The perpendicular distance of a corner of uni cube from a diagonal not passing through it is

The perpendicular distance of the point (6,5,8) from y-axis

A square of side a lies above the x-axis and has one vertex at the origin. The side passing through the origin makes and angle alpha  ( 0 lt alpha lt (pi)/(4) ) with the positive direction of x-axis. The equation of its diagonal not passing through the origin is

Find the locus of the foot of perpendicular from the point (2, 1) on the variable line passing through the point (0, 0).

Find the radius of gyration of a circular ring of radius r about a line perpendicular to the plane of the ring and passing through one of this particles.

The length of the perpendicular from the origin to the plane passing through the points veca and containing the line vecr = vecb + lambda vecc is

The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid point and perpendicular to is length is 10 . Its moment of inertia about an axis passing through one of its ends and perpendicular to its ends and perpendicular to its length is

Derive the expression for moment of inerita of a uniform disc about an axis passing through the centre and perpendicular to the plane.