The position vector of foru points A,B,C,D are `veca, vecb, 2veca+3vecb and veca-2vecb respectively. Expess the vectors `vec(AC), vec(DB), vec(BC) and vec(CA)` in terms of `veca and vecb`.

The position vectors of A,B,C,D are veca,b,2vec+3vecb and veca-2vecb respectively show that vec(DB)=3vecb - veca and vec(AC)=veca+3vecb .

The position vectors of two points A and B are 3veca+2vecb and 2veca-vecb respectively. Find the vector vec(AB)

If vec A . vecB = vecA*vecB , find |vecA - vecB|

If vec a+ vecb +vec c=0 then find veca.vecb+ vecb.vec c+ vec c.veca if |veca| =3, |vecb|=4 and |vec c|=2

if veca , vecb ,vecc are three vectors such that veca +vecb + vecc = vec0 then

Let veca=3hati-hatj, vecb=hati-2hatj, vec c=-hati+7hatj and vecp=veca+vecb+vec c . Then vecP in terms of veca and vecb is

If |veca+vecb|=|veca-vecb|, (veca,vecb!=vec0) show that the vectors veca and vecb are perpendicular to each other.

If veca and vecb are unit vectors such that (veca +vecb). (2veca + 3vecb)xx(3veca - 2vecb)=vec0 then angle between veca and vecb is

If the two adjacent sides of two rectangles are reprresented by vectors vecp=5veca-3vecb, vecq=-veca-2vecband vecr=-4 veca-vecb,vecs=-veca+vecb , respectively, then the angle between the vectors vecx=1/3(vecp+vecr+vecs) and vecy=1/5(vecr+vecs) is