Under what condition `|vec(A)+vec(B)| = |vec(A)|+|vec(B)|` holds good?

When does |vec(a)+vec(b)|=|vec(a)|+|vec(b)| hold?

What is the condition for vec A+vec B=vec A-vec B?

Under what condition will the equality : vec A xx vec B = vec A . vec B hold good ?

If the vectors vec(a), vec(b) and vec(c ) satisfy the condition vec(a)+vec(b)+vec(c )=vec(0) and |vec(a)|=3, |vec(b)| =4 and |vec(c )|=5 , then show that vec(a).vec(b)+vec(b).vec(c )+vec(c ). vec(a)=-25 .

Two vectors vec(A) and vec(B) are such that |vec(A)+vec(B)|=|vec(A)-vec(B)| then what is the angle between vec(A) and vec(B) :-

Two vectors vec(A) and vec(B) are such that |vec(A)+vec(B)|=|vec(A)-vec(B)| then what is the angle between vec(A) and vec(B) :-

For a non zero vector vec(A) . If the equations vec(A).vec(B) = vec(A).vec(C) and vec(A) xx vec(B) = vec(A) xx vec(C) hold simultaneously, then

For the vector vec(a) and vec (b) if |vec(a) + vec(b)| = |vec(a) - vec(b)| , show that vec(a) and vec (b) are perpendicular