If `hata, hatb, hatc` are unit vectors such that `hata+hatb+hatc=0` then find the value of `hata.hatb+hatb.hatc+hatc.hata`

hata, hatb and hatc are unit vectors. If the hata +hatb = hatc , them the magnitude of hata -hatb is :

Let hata, hatb and hatc be three unit vectors such that hata=hatb+(hatb xx hatc) , then the possible value(s) of |hata+hatb+hatc|^(2) can be :

Assertion : Suppose hata,hatb,hatc are unit vectors such that hata,hatb=hata.hatc=0 and the angle between hatb and hatc is pi/6 than he vector hata can be represented as hata=+-2(hatbxxhatc), Reason: hata=+-(hatbxxhatc)/(hatbxxhatc|) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

If hata, hatb, hatc are three units vectors such that hatb and hatc are non-parallel and hataxx(hatbxxhatc)=1//2hatb then the angle between hata and hatc is

If hata, hatb and hatc are non-coplanar unti vectors such that [hata hatb hatc]=[hatb xx hatc" "hatc xx hata" "hata xx hatb] , then find the projection of hatb+hatc on hata xx hatb .

If hat a and hat b are unit vectors such that [ hata hatb hatatimeshatb ]= (1)/(4) ,then the angle between hat a and hat b ,is equal to