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Bradly Buckridge

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Q: When is the magnitude of the sum of vectors A+B greater than that of A-BWhen is the magnitude of A-B greater than that of A+B?
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Can a vector have a component greater than vectors magnitude?

No.


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.


Vector component greater than the vectors magnitude?

A vector component can never be greater than the vector's magnitude. The magnitude of a vector is the length of the vector and is always greater than or equal to any of its individual components.


Can the magnitude of the resultant of two vector be greater than the sum of magnitudes of individual vectors?

No.


Can the magnitude of a resultant vector be greater than the sum of individual vectors?

The resultant vector IS the sum of the individual vectors. Its magnitudecan be the sum of their individual magnitudes or less, but not greater.


Two vectors A and B have precisely equal magnitudesFor the magnitude of A B to be greater than the magnitude of A-Bwhat must be the angle between them?

The angle between vectors A and B must be 90 degrees for the magnitude of A + B to be greater than the magnitude of A - B. At this angle, the maximum difference between the magnitudes of A + B and A - B occurs, maximizing the difference.


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.


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 a vector have a component greater than its magnitude in higher level physics?

yeah, it can. for example consider two antiparallel vectors of magnitude 5,3 whose resultant is 2, which is smaller than both components.....


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 magnitude if the difference between two vectors ever be greater than the magnitude of their sum?

No, the magnitude of the difference between two vectors cannot be greater than the magnitude of their sum. This is due to the triangle inequality, which states that the magnitude of the sum of two vectors is always greater than or equal to the magnitude of their difference.


What is a scalar magnitude?

Magnitude means size. The magnitude of 8 is greater than the magnitude of 4. The magnitude of 1023209138109283 is greater than the magnitude of 12. =)) .... enjoyy... =D