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The maximum resultant is when both vectors are in the same direction. In this case, you just add 4 and 5.

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Q: What is the maximum possible resultant of two vectors with the magnitudes of 4 and 5 units?
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What is the maximum possible resultant of two vectors with magnitudes of 4 and 5?

9


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


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.


Is it possible to add two vectors having different magnitudes and yield zero resultant?

It is certain that two vectors of different magnitudes cannot yield a zero resultant force.


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.


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 minimum possible resultant of two vectors with magnitudes of 4 and 5?

One.One.


Can two vectors having different magnitudes be combined to give a zero resultant.is it possible for three such vectors?

Yes, two vectors with different magnitudes can be combined to give a zero resultant if they are in opposite directions. However, it is not possible for three vectors with different magnitudes to give a zero resultant because they must have specific magnitudes and directions to cancel each other out completely.


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.


What should be the angle between the two vectors of magnitudes 3.20and 5.70 units so that their resultant has a magnitudeof 10 units?

The maximum value that the combination of two vectors can have is sum of their magnitudes which in this case is 8.9. This maximum value is less than the needed 10, therefore no angle between them will produce the necessary resultant.


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.


Can two vectors of different magnitudes give a zero resultant?

Yes, two vectors of different magnitudes can give a zero resultant if they are in opposite directions and have magnitudes that cancel each other out when added together. This is known as vector subtraction.