यदि `vec(BC) = 4vec(a) - 8 vec(b)` तथा `vec(AB) = vec(a) - 2vec(b)` हो , तो निम्न में सही संबंध है -

If vec(a)=vec(OA) " and " vec(b)=vec(AB), " then " vec(a)+vec(b) is -

If (vec(a) + vec(b)) _|_ vec(b) and (vec(a) + 2 vec(b))_|_ vec(a) , then

Find vec(A).vec(B) if |vec(A)| = 2, |vec(B)| = 5 and |vec(A) xx vec(B)| =8

If |vec(a)| = 2, | vec(b)| = 5 and vec(a). Vec(b) = 8 , then |vec(a) - vec(b)| is

Find |vec(b)| , if (vec(a) + vec(b)).(vec(a) -vec(b)) = 8 and |vec(a)| = 8|vec(b)|

Examine for coplanarity of the following sets of points 3vec(a) + 2vec(b) -5vec(c), 3vec(a) + 8vec(b) + 5vec(c), -3vec(a) + 2vec(b) + vec(c) , vec(a) + 4vec(b) - 3vec(c) .

If |vec(a)|= |vec(b)| =1 and |vec(a) xx vec(b)|= vec(a).vec(b) , then |vec(a) + vec(b)|^(2)=

If vec(a)= 2vec(i)-3 vec(j) + vec(k). vec(b)= vec(i) + 4vec(j)- 2vec(k) , then find (vec(a) + vec(b)) xx (vec(a) - vec(b)) .

vec(a)= 2vec(i) + vec(j) -vec(k), vec(b)= -vec(i) + 2vec(j)- 4vec(k) and vec(c )= vec(i) + vec(j) + vec(k) , then find (vec(a) xx vec(b)).(vec(b) xx vec(c )) .

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