Q: What is the possible range of resultant of two vectors?

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Two vectors: no. Three vectors: yes.

If they are equal in magnitude but act in opposite directions.

No.

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

9

Related questions

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.

Two vectors: no. Three vectors: yes.

If they are equal in magnitude but act in opposite directions.

No.

No.

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

One.One.

9

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.

Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.

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

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