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What should be the angle between two vectors of magnitudes 8 and 8 units so that their resultant has a magnitude of 20 units?
It is not possible. The maximum magnitude is obtained when the vectors are aligned and in this case the resultant has a magnitude which is the sum of the individual vectors. In the given example, the maximum possible magnitude for the resultant is 16 units.
In general |a+b| <= |a| + |b| where a, b are vectors and |a| is the magnitude of a
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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.
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.
If all the vectors were directed in the same direction how would you determine the resultant mathematically?
Its magnitude would be the sum of all the magnitudes, and the direction would be the same as the component vectors.
Which are those two vectors whose resultant vector is zero?
They are vectors of equal magnitudes in oppositedirections. When you add them, they cancel out each other.
What is the angle between two vectors if their sum is to be maximum?
The resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.
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.
When are magnitudes of 2 vectors added?
The magnitudes of two vectors are added when calculating the resultant magnitude of their vector sum. This can be done using the Pythagorean theorem, where the magnitude of the resultant vector is the square root of the sum of the squares of the magnitudes of the individual vectors.
When two vectors are added and their magnitude is equal to the magnitude of resultan what will be angle in between them?
The angle between two vectors whose magnitudes add up to be equal to the magnitude of the resultant vector will be 120 degrees. This is known as the "120-degree rule" when adding two vectors of equal magnitude to get a resultant of equal magnitude.
Two vectors of unequal magnitude can their sum be zero?
No, two vectors of unequal magnitude cannot have a sum of zero. The resultant of adding two vectors is determined both by their magnitudes and directions. If the vectors have unequal magnitudes, the resultant vector will have a magnitude that is at least as large as the larger of the two original vectors.
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.
Can the resultant or two vectors of the same magnitude be equal to the magnitude of either of the vectors?
No, the resultant of two vectors of the same magnitude cannot be equal to the magnitude of either of the vectors. The magnitude of the resultant of two vectors is given by the formula: magnitude = √(A^2 + B^2 + 2ABcosθ), where A and B are the magnitudes of the vectors and θ is the angle between them.
Can the magnitude of the resultant of two vector be greater than the sum of magnitudes of individual vectors?
No.
What is the range of possible values of the resultant of two vectors?
The range of possible values of the resultant of two vectors is from the magnitude of the difference of the magnitudes of the two vectors to the sum of the magnitudes of the two vectors. This range occurs when the two vectors are in the same direction or in opposite directions, respectively.
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.
What is the resultant vector?
The resultant vector is the vector that represents the sum of two or more vectors. It is calculated by adding the corresponding components of the vectors together. The magnitude and direction of the resultant vector depend on the magnitudes and directions of the individual vectors.
How many minimum no of coplaner vectors having different magnitude can be added to given zero resultant?
Two minimum coplanar vectors with different magnitudes can be added to produce a zero resultant by choosing vectors in opposite directions and adjusting their magnitudes appropriately.
