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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
Can the sum of two vectors of unequal magnitudes be a zero vector?
The sum of two unequal vectors can not be zero, because we can get minimum magnitude of two vectors when they are in opposite direction and can only get zero magnitude when they are equal in magnitude.................................... Answered by: SAJJAD AHMED(bfps doha Qatar)
Can two vectors having different magnitude be combined to give a zero resultantis it possible for three vectors?
-- The minimum magnitude that can result from the combination of two vectors is the difference between their magnitudes. If their magnitudes are different, then they can't combine to produce zero. -- But three or more vectors with different magnitudes can combine to produce a zero magnitude.
What is magnitude of the two displacement vectors?
The magnitude of two displacement vectors, of magnitude x and y, is sqrt(x2 + y2)
Can the sum of 2 vectors be 0 if they are of unequal magnitude?
It is impossible if the two vectors are of unequal magnitude.
What is the minimum possible magnitude of two vectors?
The minimum possible magnitude that results from the combintion of two vectors is zero. That's what happens when the two vectors have equal magnitudes and opposite directions.The maximum possible magnitude that results from the combintion of two vectors is the sum of the two individual magnitudes. That's what happens when the two vectors have the same direction.
Two vectors have the length v1 is 3.5km and v2 is 4 kmwhat are the maximum and minimum magnitudes of their vector sum?
The maximum magnitude of their vector sum occurs when the two vectors are in the same direction, giving a sum of 3.5 km + 4 km = 7.5 km. The minimum magnitude of their vector sum occurs when the two vectors are in opposite directions, giving a magnitude of 4 km - 3.5 km = 0.5 km.
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 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
Can the sum of two vectors of unequal magnitudes be a zero vector?
The sum of two unequal vectors can not be zero, because we can get minimum magnitude of two vectors when they are in opposite direction and can only get zero magnitude when they are equal in magnitude.................................... Answered by: SAJJAD AHMED(bfps doha Qatar)
The sum of two vectors is a minimum when the angle between them is what?
180 degrees. Then the sum of the two vectors has a magnitude equal to the difference of their individual magnitudes.
Can the resultant of two equal vectors be of same magnitude as the two vectors?
No, the resultant of two equal vectors will have a magnitude that is not equal to the magnitude of the original vectors. When two vectors are added together, the resulting vector will have a magnitude that depends on the angle between the two vectors.
Can two vectors having different magnitude be combined to give a zero resultantis it possible for three vectors?
-- The minimum magnitude that can result from the combination of two vectors is the difference between their magnitudes. If their magnitudes are different, then they can't combine to produce zero. -- But three or more vectors with different magnitudes can combine to produce a zero magnitude.
What must be the minimum number of vectors in a space is required so that their sum is zero?
If none of the individual vectors has a magnitude of zero, thenthe minimum number that can combined to make zero is two.
What is magnitude of the two displacement vectors?
The magnitude of two displacement vectors, of magnitude x and y, is sqrt(x2 + y2)
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.
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.
