If in a right-angled triangle `A B C ,` the hypotenuse `A B=p` ,then `vec(AB).vec(AC)+ vec(BC). vec(BA)+ vec(CA).vec(CB)` is equal to `2p^2` b. `(p^2)/2` c. `p^2` d. none of these

In a right angled triangle ABC, the hypotenuse AB =p, then vec(AB).vec(AC) + vec(BC).vec(BA)+vec(CA).vec(CB) is equal to:

If in a right-angled triangle ABC, hypotenuse AC=p, then what is vec(AB).vec(AC)+vec(BC).vec(BA)+vec(CA).vec(CB) equal to ?

In a right angled triangle hypotenuse AC= p, then vec(AB). vec(AC ) + vec(BC) .vec(BA) + vec(CA). vec(CB) equal to ?

OAB is a given triangle such that vec(OA)=vec(a), vec(OB)=vec(b) . Also C is a point on vec(AB) such that vec(AB)=2vec(BC) . What is vec(AC) equal to ?

If vec a, vec b and vec c are unit vectors then | vec a-vec b | ^ (2) + | vec b-vec c | ^ (2) + | vec c-vec a | ^ (2) is equal to

If vec(a), vec(b) and vec(c) are unit vectors such that vec(a)+2vec(b)+2vec(c)=0 then |vec(a)timesvec(c)| is equal to

Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are vec(a) , vec(b) , vec(c ) and (vec(a) + vec(b) + vec(c ))/(4) respectively, then the position vector of the orthocentre of this triangle is

If vec a is parallel to vec b xxvec c ,then (vec a xxvec b)*(vec a xxvec c) is equal to |vec a|^(2)(vec b*vec c) b.|vec b|^(2)(vec a*vec c) c.|vec c|^(2)(vec a*vec b) d.none of these

[vec a+vec b,vec b+vec c,vec c+vec a]=2[vec a,vec b,vec c]

Given vec(p)*(vec(P)+vec(Q))=P^(2) then the angle between vec(P)andvec(Q) is