Applications of Distance Formula

The video tutorial covers the application of the distance formula in a 3D coordinate system. It explains how to determine if points are collinear, form a right-angled triangle, square, rhombus, or parallelogram. The tutorial also demonstrates finding points on axes and planes that are equidistant from given points, and deriving equations for loci of points.

Explain how to find the coordinates of a point that is 5 units from the origin in the YZ plane.

Describe how to find the coordinates of a point that is equidistant from four given points.

How do you find the equation of the locus of a point that is a specific distance from a given point?

What is the procedure to find the equation of points that are equidistant from two given points?