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

Find |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

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

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

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)| .

Three vectors overline(a),overline(b) and overline(c) satisfy the condition vec(a)+vec(b)+vec(c)=vec(0) evaluate mu=vec(a).vec(b)+vec(b).vec(c)+vec(c).vec(a) if |vec(a)|=1,|vec(b)|=4 and |vec(c)|=2

If vec(a)=i-2 j + 3k, vec(b) is a vector such that vec(a).vec(b)= |vec(b)|^(2) |vec(a)-vec(b)|= sqrt7 , then |vec(b)| = ________

If vec(a) and vec(b) are perpendicular vectors |vec(a) + vec(b)| = 13 and |vec(a)| = 5 , find the value of |vec(b)|