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

If vec(a) and vec(b) are perpendicular vectors, |vec(a)+vec(b)|=3 and |vec(a)|=5 , find the value of |vec(b)| .

If vec(a) and vec(b) are perpendicular vectors, show that : (vec(a)+vec(b))^(2)=(vec(a)-vec(b))^(2) .

The vectors vec(a) and vec(b) are perpendicular if :

If vec(a) and vec(B) are two vectors such that |vec(a)|=|vec(b)|=sqrt(2) and vec(a).vec(b)=-1 , find the angle between vec(a) and vec(b) .

If vec(a) and vec(b) are mutually perpendicular unit vectors then (3vec(a)+2vec(b)).(5vec(a)-6vec(b))=?

If vec(a),vec(b) and vec(c ) are three vectors such that vec(a)+vec(b)+vec(c )=vec(0) and |vec(a)|=2,|vec(b)|=3 and |vec(c )|=5 , then the value of vec(a)*vec(b)+vec(b)*vec(c)+vec(c)*vec(a) is

If vec(a) , vec(b) and vec(c ) be three vectors such that vec(a) + vec(b) + vec(c )=0 and |vec(a)|=3, |vec(b)|=5,|vec(C )|=7 , find the angle between vec(a) and vec(b) .

Let vec a,vec b and vec c be pairwise mutually perpendicular vectors,such that |vec a|=1,|vec b|=2,|vec c|=2. Then find the length of vec a+vec b+vec c

If vec a and vec b are two vectors such that |vec a|=4,|vec b|=3 and vec a*vec b=6. Find the angle between vec a and vec b

If vec a, vec b, vec c are three mutually perpendicular vectors such that | vec a | = | vec b | = | vec c | then (vec a + vec b + vec c) * vec a =