Question

Find the sum of these 12 vectors in a wall clock A+B+C+...+L
http://prntscr.com/4qaiyc

Answer 1

each vector is separated by 360/12 = 30 degrees

Answer 2

the vectors start at center of the circle

Answer 3

and end on circle

Answer 4

It will be 0.

Answer 5

Wow! how ?

Answer 6

What will you get when you add vector a and vector h?

Answer 7

hehe! that's some fast answer

Answer 8

I mean D and J

Answer 9

It will be 0. The same thing will happen with other pairs.

Answer 10

brilliant!!!!!

Answer 11

one more side question related to this

Answer 12

shall i ask it here or open a new thread?

Answer 13

Well, it's up to you. I like your avatar. :)

Answer 14

Suppose the 12 vectors start from 6:00 am at the bottom instead of (0,0) at the center.
whats the sum of new 12 vectors ?

Answer 15

wow! i completely caught of guard and i was thinking about something else

Answer 16

something like this i guess
http://prntscr.com/4qao3q

Answer 17

@xapproachesinfinity Kind of tricky. What do you think about this question?

Answer 18

me too haha! i was trying euler formula

Answer 19

i mean for the first question... but you gave a nice cute solution xD

Answer 20

This question is not tricky anymore. x_x

Answer 21

yeah no opposite vectors to cancel ;-;

Answer 22

I think you can try adding H and J, G and K, etc.

Answer 23

nice :) x components eat each other out, and y components double ?

Answer 24

I don't think y will get double.

Answer 25

yeah the first was tricky! it drove think about other things!
really when things simplify to zero and ones you appreciate the beauty of math hehe

Answer 26

<3 the second question seems to be having not so nice answer, i could try trig/exponents if there is easy way out

Answer 27

the vertical vector going thru center is of length : 2 units in y direction

Answer 28

F and jJsum to nC n some scalar??

Answer 29

F and J

Answer 30

adding F and L gets rid of x components right ?

Answer 31

no actually B and H give C
the diagram is confusing lol

Answer 32

OMG! yess they do give C which is 2

Answer 33

i have created this diagram quickly... so please bear with me :) consider only th blue labels outer to the circle

Answer 34

the other way D + J also give C

Answer 35

Yes, I didn't think about that. Good job. @xapproachesinfinity

Answer 36

I'm sure this have cancellations as we go along

Answer 37

C+I = 2
D+J = 2
E+K = 2
F+L = 2
G+A = 2
H+B = 2

Answer 38

12 xD

thank you both :)

Answer 39

good^_^
seems that was the way to think about it

Answer 40

Welcome

Answer 41

Yes there is always something tricky about the opposite letters.

Answer 42

I got another tricky question on vectors in cube, will post in a new thread :) need your help on that too... i gave up after trying for some time

Answer 43

let's see i have little time though! hehe

Answer 44

It's great to know you two.

Answer 45

pleasure is mine^_^