Of course it is! for example, [1, √3] + [-2, 0] + [1, - √3 ] = [0, 0].
Like this example, all other sets of such vectors will form an equilateral triangle on the graph.. Actually connecting the endpoints of the 3 vectors forms the equilateral triangle. The vectors are actually 120° apart.
-- The minimum magnitude that can result from the combination of two vectors is the difference between their magnitudes. If their magnitudes are different, then they can't combine to produce zero. -- But three or more vectors with different magnitudes can combine to produce a zero magnitude.
With three vectors spaced 120 degrees apart and with identical magnitudes the vector sum will be 0.
yeah
Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.
Yes. Any number of vectors, two or more, can result in zero, if their magnitudes and directions are just right. One vector can result in zero only if its magnitude is zero.
Yes, two vectors with different magnitudes can be combined to give a zero resultant if they are in opposite directions. However, it is not possible for three vectors with different magnitudes to give a zero resultant because they must have specific magnitudes and directions to cancel each other out completely.
-- The minimum magnitude that can result from the combination of two vectors is the difference between their magnitudes. If their magnitudes are different, then they can't combine to produce zero. -- But three or more vectors with different magnitudes can combine to produce a zero magnitude.
With three vectors spaced 120 degrees apart and with identical magnitudes the vector sum will be 0.
Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.
yeah
You should try to visualize this yourself. Draw arrows, representing vectors, on paper; draw them head-to-tail. Try to make the head of the last arrow return to the tail of the first one. The answer is no, and yes.
mAYBE
Yes. Imagine the three sides of an equilateral triangle. That is, put each vector at 120 degrees of the other two.
Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.
If all magnitudes are different, then minimum is three.
Yes. Any number of vectors, two or more, can result in zero, if their magnitudes and directions are just right. One vector can result in zero only if its magnitude is zero.
Yes. The largest vector is given a certain direction. The remaining two vectors (each different in length) when combined, equal the length of the largest, and are 180 degrees out of phase with the largest.