If `vec(A), vec(B), vec(C)` represents the three sides of an equilateral triangle taken in the same order then find the angle between (i) `vec(A)` and `vec(B)` (ii) `vec(B)` and `vec(C)` (iii) `vec(A)` and `vec(C)`.

Explanation

From the diagram the angle between the vectors `vec(A)` and `vec(B)` is `120^(@)`, the angle between `vec(B)` and `vec(C)` is `120^(@)`, the angle between `vec(A)` and `vec(C)` is `120^(@)`