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The magnitudes of two vectors are added when calculating the resultant magnitude of their vector sum. This can be done using the Pythagorean theorem, where the magnitude of the resultant vector is the square root of the sum of the squares of the magnitudes of the individual vectors.

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1y ago

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When are magnitudes of two vectors added?

The magnitudes of two vectors are added when the vectors are parallel to each other. In this case, the magnitude of the sum is equal to the sum of the magnitudes of the two vectors.


When are magnitudes of vectors added?

when the vectors have the same direction


How many minimum no of coplaner vectors having different magnitude can be added to given zero resultant?

If all magnitudes are different, then minimum is three.


Can two vectors of different magnitudes give a zero resultant?

Yes, two vectors of different magnitudes can give a zero resultant if they are in opposite directions and have magnitudes that cancel each other out when added together. This is known as vector subtraction.


What is the Minimum number of vectors with unequal magnitudes whose vector sum can be zero?

-- A singe vector with a magnitude of zero produces a zero resultant.-- Two vectors with equal magnitudes and opposite directions produce a zero resultant.


What is the smallest number of vectors that can be added to give a zero resultant?

Two.Equal magnitudes in opposite directions.


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 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.


How will you compare vectors?

You compare their magnitudes.


How are velocities in the same direction combined?

As the velocities are in the same direction then addition of vectors becomes so easy. We simply add the magnitudes of the velocities. If velocities go exactly opposite, then we get the difference of their magnitudes. If velocity vectors get inclined, then we use the parallelogram law of vectors to get the resultant.


What are the two displacement vectors of magnitudes?

Two displacement vectors of magnitudes are two directed line segments that show the distance and direction between two points, representing a change in position. They can be added or subtracted using the parallelogram rule to find the resultant displacement.


Can two vectors having different magnitudes be combined to give a zero resultant.is it possible for three such vectors?

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.