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Can the magnitude of the difference between two vectors ever be greater than the magnitude of either vector?

Yes, the magnitude of the difference between two vectors can be greater than the magnitude of either vector. This can occur when the vectors are in opposite directions or have different magnitudes such that the resulting difference vector is longer than either of the original vectors.


What is the resultant of two vectors in the opposite direction?

When two vectors are in opposite directions, their resultant is the difference between their magnitudes, with the direction of the larger vector. This means the resultant vector points in the direction of the larger vector and its magnitude is the difference between the magnitudes of the two vectors.


What is the difference between a unit vector and a unit basis vector?

A unit vector is a vector with a magnitude of 1, while a unit basis vector is a vector that is part of a set of vectors that form a basis for a vector space and has a magnitude of 1.


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

No, the sum of two vectors cannot be equal to either of the vectors. Adding two vectors results in a new vector, with a magnitude and direction that is determined by the individual vectors being added.


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.

Related Questions

Can the magnitude of the difference between two vectors ever be greater than the magnitude of either vector?

Yes, the magnitude of the difference between two vectors can be greater than the magnitude of either vector. This can occur when the vectors are in opposite directions or have different magnitudes such that the resulting difference vector is longer than either of the original vectors.


Can the magnitude of resultant of two vectors of the same magnitude be equal of magnitude of either vector?

yes


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 the resultant magnitude of 2 vectors be smaller than either of the vectors?

Yes. As an extreme example, if you add two vectors of the same magnitude, which point in the opposite direction, you get a vector of magnitude zero as a result.


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

No, the sum of two vectors cannot be equal to either of the vectors individually. In vector addition, the resultant vector is determined by the magnitude and direction of the individual vectors. The sum of two vectors represents the combination of their effects, resulting in a new vector with different properties than the original vectors.


What is the resultant of two vectors in the opposite direction?

When two vectors are in opposite directions, their resultant is the difference between their magnitudes, with the direction of the larger vector. This means the resultant vector points in the direction of the larger vector and its magnitude is the difference between the magnitudes of the two vectors.


What is the difference between a unit vector and a unit basis vector?

A unit vector is a vector with a magnitude of 1, while a unit basis vector is a vector that is part of a set of vectors that form a basis for a vector space and has a magnitude of 1.


What is the angle between two vectors of equal magnitude whose resultant is equal to the magnitude of either vector?

69 degrees


If the sum of the two unit vectors is also a unit vector find the magnitude of their difference?

resultant


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

No, the sum of two vectors cannot be equal to either of the vectors. Adding two vectors results in a new vector, with a magnitude and direction that is determined by the individual vectors being added.


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.


What word indicates the difference between vector and scalar measurements?

Direction. A scalar has only magnitude, while a vector has both magnitude and direction.