If`vec DA= vec a, vec AB = vec b and vec CB= k veca` where`k gt0` and `X,Y` are the midpoints of DB & AC respectively, such that `|vec a| = 17 & |vec XY| = 4`, then `k` equal to

If vec(DA)=veca,vec(AB)=vecb and vec(CB)=kveca where kgt0 and X,Y are the midpoint of DB and AC respectively such that |veca|=17 and |vec(XY)|=4, then k is equal to (A) 9/17 (B) 8/17 (C) 25/17 (D) 4/17

If vec(DA)=veca,vec(AB)=vecb and vec(CB)=kveca where kgt0 and X,Y are the midpoint of DB and AC respectively such that |veca|=17 and |vec(XY)|=4, then k is equal to (A) 9/17 (B) 8/17 (C) 25/17 (D) 4/17

If vec a = i+j+k, vec a. vec b = 1 and vec a xx vec b = j-k then vec b =

If vec a xx i+2vec a-4vec i-2vec j+vec k=0 then vec a=

If vec axxvec b=vec b xxvec c != vec 0 , then show that vec a+vec c= k vec b where k is a scalar.

If vec a=hat j-hat k and vec c=hat i+hat j+hat k are given vectors,and vec b is such that a vec a*vec b=3 and vec a xxvec b+vec c=0 then is equal to

vec k.vec k= (A) 0 (B) 1 (C) vec i (D) vec j

If vec a = i +j and vec b = j-k then the angle between vec a + vec b and vec a - vec b is

If ABCD is a quadrilateral and E and F are the midpoints of AC and BD respectively, then prove that vec(AB)+vec(AD)+vec(CB)+vec(CD)=4vec(EF) .

vec(i)timesvec(j)= (a) vec0 (b) 1 (c) -vec k (d) vec k