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When the angle between any two component vectors

is either zero or 180 degrees.

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Q: When is the vector sum equal in magnitude to the algebraic sum?
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Related questions

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.


When is the vector sum of two vectors not equal in magnitude to their algebraic sum?

In all cases except when they act in the same direction.


How the magnitude of vector is equal to 1?

If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.


Is the sum of two vectors of equal magnitude equal to the magnitude of either vectors AND their difference root 3 times the magnitude of each vector?

No, the statement is incorrect. The sum of two vectors of equal magnitude will not equal the magnitude of either vector. The sum of two vectors of equal magnitude will result in a new vector that is larger than the original vectors due to vector addition. The magnitude of the difference between the two vectors will be smaller than the magnitude of either vector.


How can the resultant of two vecters of the same magnitude be equal to the magnitude of either vector?

If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.


Can a magnitude of vector greater than its components?

No, the magnitude of a vector cannot be greater than the sum of its components. The magnitude of a vector is always equal to or less than the sum of the magnitudes of its components. This is known as the triangle inequality.


Can the sum of two vector be equal to either of the vector?

Only if one of them has a magnitude of zero, so, effectively, no.


When is the vector sum of two quatities equal in magnitude to the scalar sum?

When all the vectors have the same direction.


If two vector have equal magnitudes can their sum be zero Explain?

Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vector of unequal magnitude cannot be added to give null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.


Can the sum of two equal vectors be equal to either vector?

Only if one of them has a magnitude of zero, so, effectively, no.


What magnitude is not possible when a vector of a magnitude of 3 is added to a vector of a magnitude of 4?

It is not possible to obtain a vector with a magnitude of 7 when adding vectors of magnitude 3 and 4. The resultant magnitude will be between 1 and 7, as the triangle inequality states that the magnitude of the sum of two vectors is less than or equal to the sum of their magnitudes.


Can two vectors having different magnitude be combined to give a vector sum of zero?

Yes, two vectors with different magnitudes can be combined to give a vector sum of zero if they are in opposite directions and their magnitudes are appropriately chosen. The magnitude of one vector must be equal to the magnitude of the other vector, but in the opposite direction, to result in a vector sum of zero.