In order that the resultant path on superimposing two mutually perpendicular SHM be a circle, the conditions are that

Dot product of two mutual perpendicular vector is

Obtain the scalar product of two mutually perpendicular vectors .

Show that, the resultant and the difference of two mutually perpendicular vectors of equal magnitude are equal in magnitude and perpendicular to each other.

Find the number of images formed by two mutually perpendicular mirrors.

In the picture a triangle is formed by two mutually perpendicular tangents to a circle and a third tangent. Prove that the perimeter of the triangle is equal to the diameter of the circle.

The square of the resultant of two forces 4N and 3 N exceeds the square of the resultant of the two forces by 12 when they are mutually perpendicular. The angle between the vectors is