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

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

Find vec(a) * vec(b) if |vec(a)| = 6, |vec(b)| = 4 and |vec(a) xx vec(b)| = 12

Find the angle between vec(a) and vec(b) if |vec(a)| = 4, |vec(b)|= 2 sqrt3 and |vec(a) xx vec(b)| = 12

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

If |vec(a)|=2|vec(b)|=5 and |vec(a)xx vec(b)|=8 then find vec(a).vec(b) .

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

If vec(a)= vec(i) + vec(j)+ vec(k), vec(c )= vec(j)- vec(k) , then find vector vec(b) such that vec(a) xx vec(b)= vec(c ) and vec(a).vec(b)= 3

If vec(u)= vec(a)- vec(b), vec(v)= vec(a) + vec(b) and |vec(a)| =|vec(b)|=2 , then |vec(u) xx vec(v)| =

If vec(u)= vec(a)- vec(b), vec(v)= vec(a) + vec(b) and |vec(a)| =|vec(b)|=2, (vec(a), vec(b)) =(pi)/(3) , then |vec(u) xx vec(v)| =