2006-09-08 03:49:18 · 8 answers · asked by Marion A 1 in Science & Mathematics ➔ Physics
Yes. The vectors must be arranges such that the angle anong the angles must be equal, i.e 120 degrees between 2 vectors.
Another way to look at it is to look at the components of each vector. In that case, if we let one vector be the referecne vector (for computations), then the other 2 vectors will have components that are perpendicular to the 1sta and other components opposite the it. The opposite components' sum is equal to the 1st, so that cancels out. The perpendicular components are opposite each other. So they also cancel out.
To james k's answer, the vectors you put in were not all equal in magnitude.... Just wanted to point that out.
2006-09-08 06:08:23 · answer #1 · answered by dennis_d_wurm 4 · 0⤊ 0⤋
Any three vectors laid end to end which form a closed triangle will have a zero resultant Incidentally this implies that the sum of magnitude of any two of these vectors cannot be less than that of the third vector.
Yes, the vectors must also be in the same plane. But must they be at 120 degrees with each other? What about A\0 deg + A\90 deg + (2^1/2)*A\225 deg ?
Sorry, I missed to note that the question says they are of equal magnitude. Please Ignore this answer.
2006-09-08 04:56:12 · answer #2 · answered by rabi k 2 · 0⤊ 0⤋
sure. Assuming a R^n vector area then on condition that n > a million party in 2 area (a million,0), (-sqrt(3)/2,a million/2) ,(-sqrt(3)/2,-a million/2) all of them have importance a million word that in case you go with 'm' vectors to characteristic to 0 an straightforward way is to take the 'n sphere' and distribute the m vectors gently round that. interior both dimensional case take both-sphere (i.e., circle) and distribute them gently round it. this provides 120 levels between each and each and every.
2016-11-06 21:49:42 · answer #3 · answered by ? 4 · 0⤊ 0⤋
YES,IF THE VECTORS ARE AT 120 DEGREE FROM EACH OTHER IN THE SAME PLANE, THE RESULTANT OF THEM WILL BE ZERO.
2006-09-08 05:11:40 · answer #4 · answered by tinor 1 · 0⤊ 0⤋
First two are right.....#3 is wrong. 120 deg spacing between all three vectors.
2006-09-08 04:24:36 · answer #5 · answered by FilmfibrilProcess 1 · 0⤊ 0⤋
Yes, and here is an example. F1=(2,1), F2=(-2,1), F3=(0,-2). Notice that these vectors don't even meet at 120 degree angles.
2006-09-08 03:59:09 · answer #6 · answered by bruinfan 7 · 0⤊ 1⤋
Yes, if the directions vary by 120°.
2006-09-08 03:51:43 · answer #7 · answered by Anonymous · 0⤊ 0⤋
sure. it's an equilateral triangle.
2006-09-08 03:53:29 · answer #8 · answered by dan 4 · 0⤊ 0⤋