Given vectors `barCB=bara, barCA=barb and barCO=barx` where O is the centre of circle circumscribed about `DeltaABC`, then find vector `barx`

If the vectors bara, barb and barc from the sides BC, CA and AB, respectively, of DeltaABC , then

Let bara= bari+ 2barj+ 3bark and barb= 3bari+ barj Find the unit vector in the direction of bara+ barb

IF bar(AB)=bara times (bara times barb) and bar(AC)=bara times barb where |bara|=sqrt3 then find the angles of DeltaABC .

IF OABC is a tetrahedron where O is the origin and A,B and C have respective positions vectors as bara,barb and barc then prove that the circumcentre of the tetrahedron is ((bara)^2(barb times barc)+(barb)^2 (barc times bara)+(barc)^2 (bara times barb))/(2[bara barb barc])

O is the centre of a circle and an equilateral DeltaABC is inscribed in it. Find the value of angleBOC .

O is the centre of a circle and an equilateral DeltaABC is inscribed in it. Find the value of angleBOC .

Four vectors bara ,barb,barc, and bard are lying in the same plane. The vectors bara and barb are equal in magnitude and inclined to each other at an angle of 120^@ . barC is the resultant of bara and barb . Further bara + barb + bard=0. If the angle between bara and bard is beta and the angle between bara and barc is a, find the correct relation between alpha and beta