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This is just called the "sum". Sometimes also the "resultant vector".

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It is called the "vector sum". It is NOT the resultant because there culd be more than two vectors acting on an object.

Q: What is the sum of two vectors called?

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No, the sum of two vectors cannot be a scalar.

Resultant Vector

resultant

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.

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

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A resultant Vector.

The sum of two or more vectors is called the resultant vector. It represents the combination of all individual vectors acting together.

No, the sum of two vectors cannot be a scalar.

Resultant Vector

resultant

Yes, the vector sum is called the resultant. The resultant is the single vector that represents the combined effect of two or more vectors. It is equal to the vector sum of the individual 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.

The combination of two or more vectors results in a new vector known as the resultant vector. This resultant vector is found by adding or subtracting the individual vectors' magnitudes and directions.

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.

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.

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

No, the magnitudes of the sum of two vectors are generally greater than or equal to the sum of the magnitudes of the individual vectors. The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side, which applies to vector addition as well.