Two objects of 3 kg & 1 kg have position vectors `(-6hati + 4hatj-2hatk)` & `(2hati +5hatj+13hatk)`. What is its centre of mass?

Two particles of masses 3 kg and 2kg are located at (-6hati+4hatj-2hatk) and (2hati+5hatj+13hatk) respectively. Locate the position of centre of mass.

A vector perpendicular to both of (3hati+hatj+2hatk) and (2hati-2hatj+4hatk) is

Two objects of mass 10 kg and 2kg are moving with velocities (2hati-7hatj+3hatk) m//s and (-10hati+35hatj-3hatk) m/s respectively. Calculate the velocity of the centre of mass of the system.

Show that the vectors hati -2 hatj+3hatk , -2hati+3hatj-4hatk and hati -3hatj +5hatk are coplanar.

Angle between the vectors hati +hatj and hati-hatk is

find the projection of the vector hati-3hatj-7hatk on the vector 7hati-hatj-8 hatk

Find the angle between the vectors hati-2hatj+3hatkand3hati-2hatj+hatk

find the projection of the vector hati+2hatj+3hatk on the vector 5hati-2hatj+4 hatk