Question

What is the sum V of the twelve vectors that go from the center of a clock to the hours 1:00,2:00, ... , 12:00?

Please explain me the question so that I can understand.

Answer 1

`vec(V) = vec(0)`

Explanation:

If we call the `12` vectors `v_1, v_2,..., v_12` then note the following:

• All the vectors are of the same length.

• Each vector has a corresponding vector pointing in exactly the opposite direction (e.g. `v_1` and `v_7`, `v_3` and `v_9`), so they will cancel out in the sum.

So in the sum, all of the vectors will cancel out, leaving the zero vector `vec(0)`