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.

1 Answer
Aug 5, 2018

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)