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

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

If |vec(a) + vec(b)| = |vec(a) - vec(b)| then

If |vec(a)| = 3, |vec(b) = 4 and |vec(a) + vec(b)| = 1 , then |vec(a) - vec(b)| =

Show that (vec(a)-vec(b))xx(vec(a)+vec(b))=2 (vec(a)xxvec(b)) .

If two vectors vec(a) and vec(b) such that |vec(a)| = 2|vec(b)| = 3 and vec(a).vec(b) = 6 , find |vec(a)-vec(b)| .

If vec(a) bot vec(b) and (vec(a) + vec(b)) bot (vec(a) + mvec(b)) , then m=

Vectors vec(a), vec(b) and vec(c ) are such that vec(a) + vec(b) + vec(c ) = 0 and |vec(a)| = 3, |vec(b)| = 5 and |vec(c )| = 7 . Find the angle between vec(a) and vec(b) .

If (vec a xx vec b)^(2) + (vec a . Vec b)^(2) = 144 and |vec a| = 4 then |vec b| =

If vec a, vec b, vec c are three vectors such that vec a . (vec b + vec c) + vec b . (vec c + vec a) + vec c . (vec a + vec b) = 0 and |vec a| = 1, |vec b | = 4, |vec c| = 8 , then |vec a + vec b + vec c| =