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The smallest magnitude resulting from the addition of vectors with individual magnitudes of 4 and 3 is 1, obtained when the directions of the two component vectors are 180 degrees apart.

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Q: What is the Smallest magnitude of sum of 4 and 3 meter vectors?
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Related questions

Suppose you have two vectors that have different magnitudes can the vectors sum ever be zero?

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.


Is it possible for the magnitude of the some of two vectors to be larger than the sum of the magnitude of the vectors?

Assuming you mean sum and not some, the answer is No.


Can the sum of 2 vectors be 0 if they are of unequal magnitude?

It is impossible if the two vectors are of unequal magnitude.


When is the sum of the magnitudes of two vectors equal to the magnitude of the sum of the vectors?

When the vectors are parallel, i.e. both have the same direction.


When Two vectors have unequal magnitude can their sum be zero explain reason?

No two vectors of unequal magnitude cannot give the sum 0 because for 0 sum the 2 vectors must be equal and in opposite direction


When is the vector sum not equal in magnitude to the algebraic sum?

The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.


What is the angle between the two vectors if their sum has a magnitude of 2F?

We can't answer that without also knowing the magnitude of the individual vectors.


Two vectors of unequal magnitude can their sum be zero?

No.


What is the magnitude of the two vectors having a sum of zero?

If their sum (resultant) is 0, then the magnitude of the resultant must be 0.


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.


Can the sum of two vectors of unequal magnitudes be a zero vector?

The sum of two unequal vectors can not be zero, because we can get minimum magnitude of two vectors when they are in opposite direction and can only get zero magnitude when they are equal in magnitude.................................... Answered by: SAJJAD AHMED(bfps doha Qatar)


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.