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when the vectors have the same direction
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Adding vectors that act in the opposite direction?
When two vectors with different magnitudes and opposite directions are added :-- The magnitude of the sum is the difference in the magnitudes of the two vectors.-- The direction of the sum is the direction of the larger of the two vectors.
Can the sum of the magnitudes of two vectors ever be equal to the magnitudes of the sum of these two vectors?
only if the vectors have the same direction
Can two vectors having different magnitudes be combined to give a zero resultant.is it possible for three such vectors?
Two vectors with unequal magnitudes can't add to zero, but three or more can.
Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?
Two vectors: no. Three vectors: yes.
What is the minimum possible magnitude of two vectors?
The minimum possible magnitude that results from the combintion of two vectors is zero. That's what happens when the two vectors have equal magnitudes and opposite directions.The maximum possible magnitude that results from the combintion of two vectors is the sum of the two individual magnitudes. That's what happens when the two vectors have the same direction.
Adding vectors that act in the opposite direction?
When two vectors with different magnitudes and opposite directions are added :-- The magnitude of the sum is the difference in the magnitudes of the two vectors.-- The direction of the sum is the direction of the larger of the two vectors.
When are magnitudes of vectors added?
when the vectors have the same direction
Can the sum of the magnitudes of two vectors ever be equal to the magnitudes of the sum of these two vectors?
only if the vectors have the same direction
Can two vectors having different magnitudes be combined to give a zero resultant.is it possible for three such vectors?
Two vectors with unequal magnitudes can't add to zero, but three or more can.
Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?
Two vectors: no. Three vectors: yes.
Can the sum of the magnitudes of two vectors ever b equal to the the sum of these two vectors?
Not really. The sum of the magnitudes is a scalar, not a vector - so they can't be equal. But the sum of the two vectors can have the same magnitude, if both vectors point in the same direction.
Can the sum of magnitudes of two vectors ever be equal to the magnitude of the sum of these two vectors?
Sure, if the two vectors point in the same direction.When we need the sum of magnitudes of two vectors we simply add the magnitudes, but to get the magnitude of the sum of these two vectors we need to add the vectors geometrically.Formula to find magnitude of the sum of these two vectors is sqrt[ |A|2 +|B|2 +2*|A|*|B|*cos(z) ] where |A| and |B| are magnitudes of two A and B vectors, and z is the angle between the two vectors.Clearly, magnitude of sum of two vectors is less than sum of magnitudes(|A| + |B|) for all cases except when cos(z)=1(for which it becomes = |A| + |B| ). Cos(z)=1 when z=0, i.e. the vectors are in the same direction(angle between them is 0).Also if we consider addition of two null vectors then their sum is zero in both ways of addition.So, we get two caseswhen the two vectors are in same direction, andwhen the two vectors are null vectors.In all other cases sum of magnitudes is greater than magnitude of the sum of two vectors.
Is it possible to add two vectors having different magnitudes and yield zero resultant?
It is certain that two vectors of different magnitudes cannot yield a zero resultant force.
What is the minimum possible magnitude of two vectors?
The minimum possible magnitude that results from the combintion of two vectors is zero. That's what happens when the two vectors have equal magnitudes and opposite directions.The maximum possible magnitude that results from the combintion of two vectors is the sum of the two individual magnitudes. That's what happens when the two vectors have the same direction.
Can two vectors having different magnitude be combined to give a zero resultantis it possible for three vectors?
-- 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.
What is the direction of two unequal vectors's sum?
It can be any direction. It depends on the magnitudes and directions of the two original vectors.
Can two vectors of different magnitudes give a zero resultant?
No.
