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.
The maximum resultant occurs when the forces act in the same direction. Its magnitude is 15 N.
No. The tenth vector would have to be matched by one equal and opposite vector to yield a zero resultant, or by multiple vectors in the second plain collectively yielding a zero resultant for that plane. It would be possible, for example, for 8 vectors to be on the same plane and two on a different plane to give a zero resultant.
A magnitude of less than 1. cw: An absolute magnitude of less than 1.
the largest possible resultant is if the two displacements are in the same direction, so resultant = 7 m (3+4=7) the minimum resultant is if they are in opposite directions, so minimum is 4-3= 1 m :D
Depending on the angle between them, those two forces can combine to producea resultant anywhere between 10N and 40N. The maximum of 40N occurs whenboth forces act in exactly the same direction.
No. The largest possible resultant magnitude is the sum of the individual magnitudes.The smallest possible resultant magnitude is the difference of the individual magnitudes.
It is not possible. The maximum magnitude is obtained when the vectors are aligned and in this case the resultant has a magnitude which is the sum of the individual vectors. In the given example, the maximum possible magnitude for the resultant is 16 units. In general |a+b| <= |a| + |b| where a, b are vectors and |a| is the magnitude of a
Two vectors: no. Three vectors: yes.
If they are equal in magnitude but act in opposite directions.
-- 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.
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The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
It is certain that two vectors of different magnitudes cannot yield a zero resultant force.
The maximum resultant occurs when the forces act in the same direction. Its magnitude is 15 N.
Apparent magnitude is the brightness as viewed from EarthAbsolute magnitude is the brightness as viewed from the same distance - 32 light years.Therefore a star that is twice as bright but further away could have the same apparent magnitude but a different absolute magnitude.
No. The tenth vector would have to be matched by one equal and opposite vector to yield a zero resultant, or by multiple vectors in the second plain collectively yielding a zero resultant for that plane. It would be possible, for example, for 8 vectors to be on the same plane and two on a different plane to give a zero resultant.
no