If `veca=m vecb+vec c`, find the scalar m.

If vec(a)=m vec(b)+vec(c ) . The scalar m is

If veca=hati+2hatj+3hatk, vecb=2hati-hatj+hatk, vec c=3hati+2hatj+hatk and veca xx (vecb xx vec c)=l veca +m vecb + n vec c , find the value of l, m, n.

If vec a , vec b , and vec c are unit vectors such that vec a+ vec b+ vec c=0, then find the value of veca*vecb+vecb*vecc+vecc*veca

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, vec c are three vectors such that veca + 2 vecb + vecc = vec0, and |veca|=3, |vecb|=4, |vec c|=7, find the angle between vec a and vecb.

If veca, vecb, vec c are three mutually perpendicular vectors and |veca|=|vecb|=|vec c|=m , then the value of |veca+vecb+vec c| is -

If veca , vecb ,vec c are the 3 vectors such that |veca| = 3, |vecb| = 4,|vec c| = 5, |veca + vecb + vec c | = 0 then the value of veca.vecb + vecb.vec c + vec c .vec a is :