Three vectors `vec(A), vec(B), vec(C)` are shown in the figure. Find angle between (i) `vec(A)` and `vec(B)` (ii) `vec(B)` and `vec(C)` (iii) `vec(A)` and `vec(C)`.

Explanation

To find the angle between two vectors we connect the tails of the two vectors. We can shift the vectors parallel to themselves such that tails of `vec(A), vec(B)` and `vec(C)` are connected as shown in figure.

Now we observe that angle between `vec(A)` and `vec(B)` is `60^(@)`, `vec(B)` and `vec(C)` is `15^(@)` nad between `vec(A)` and `vec(C)` is `75^(@)`.