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

Find |vec(A) xx vec(B)| if |vec(A)| = 10|vec(B)| = 2 and vec(A).vec(B) = 12

If vec(A) and vec(B) are two such vectors that |vec(A)| = 2, |vec(B)| = 7 and vec(A) xx vec(B) = 3 hati +2 hatj + 6 hatk , find the angle between vec(A) and vec(B) .

Show that (vec(A) - vec(B)) xx (vec(A) +vec(B)) = 2(vec(A) xx vec(B))

Find the angle between vec(a) and vec(b) , when (i) |vec(a)|=2, |vec(b)|=1 and vec(A).vec(B)=sqrt(3) (ii) |vec(a)|=|vec(b)|=sqrt(2) and vec(a).vec(b)=-1 .

Two vectors vec(A) and vec(B) have magnitudes 2 and 2sqrt(2) respectively. It is found that vec(A).vec(B) = |vec(A) xx vec(B)| , then the value of |(vec(A)+vec(B))/(vec(A)-vec(B))| will be :

If vec(A)+vec(B)+vec(C )=0 then vec(A)xx vec(B) is

The vectors vec(a), vec(b), vec(c) and vec(d) are such that vec(a)xx vec(b) = vec(c) xx d and vec(a) xx vec(c)= vec(b) xx vec(d) . Which of the following is/are correct? 1. (vec(a)-vec(d))xx (vec(b)-vec(c))=vec(0) 2. (vec(a)xx vec(b))xx (vec(c)xx vec(d))=vec(0) Select the correct answer using the code given below :

If |vec(a)| = sqrt(26) , |vec(b)| = 7 , and | vec(a) xx vec(b)| = 35 . Find vec(a) . Vec(b) .

Prove that (vec(a) + vec(b)) xx (vec(a) - vec(b)) = 2 (vec(b) xx vec(a))

Find |vec a-vec b|,quad if :|vec a|=2,|vec b|=5 and vec avec b=8