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?
(b) If the 2:00 vector is removed, why do the 11 remaining vectors add to 8:00?
(c) What are the components of that 2:00 vector v = (cos 6, sin 0)?

Answer 1

a. All cancel to produce the 0 vector.
b. Each one cancels its opposite except the 8:00 vector which is no longer cancelled by 2:00.
c. 2:00 is 1/3 of the way up from 3:00 x-axis to 12:00 y-axis so fie = pi/6
v= (cos pi/6, sin pi/6) = sqrt 3/2, 1/2
hope it helps