Can the magnitude of resultant of two vectors of unequal magnitude be equal to the sum of their magnitudes?

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The question asks whether it is possible to add two 'equal' vectors, and end up with a vector whose magnitude is equal to the magnitudes of both the vectors. The wording is not very clear: either the two vectors are themselves equal, or their magnitudes are equal.

If you add two vectors with equal magnitude, and the magnitude of the resultant vector is equal to the magnitude of both vectors, then the three vectors obviously form an equilateral triangle. As @almagest said, this means that the difference between the angles of the two vectors is $120$ degrees.

If the vectors are equal, then their sum will necessarily have a larger magnitude than either of them unless the vector is zero.

The magnitude of the resultant of two equal vectors is equal to the magnitude of either vector.

Is it possible the magnitude of the sum of the two vectors is equal to the magnitudes of the individual vectors?

Its given magnitude of sum of vectors is equal to the difference of their magnitudes. Which means for @= 180°. This case is possible. So, when vectors A and B are opposite to each other their magnitude of sum and difference of magnitudes are equal.

Can the magnitude of resultant of two vectors of unequal magnitude be equal to the sum of their magnitudes if yes then what should be the angle between the vectors?

A:The sum and difference of two vectors will be equal in magnitude when two vectors are perpendicular to each other. B:The sum and difference of two vectors will have the same direction, when the vectors have unequal magnitudes but are in the same direction.

Can sum of magnitude of two equal vectors be equal to magnitude of either of the vectors?

Answer: If you mean that the sum of 2 vectors is equal to either vectors in terms of magnitude and direction, then no, unless both vectors are zero vectors. However, the direction of the sum of 2 vectors can be same as direction of either vectors provided that both vectors are parallel.

What is the magnitude of the resultant of two vectors of magnitude 4 and 3?

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The magnitude of resultant of the two vectors of magnitude 4 and 3 is 1.

What is the magnitude of sum of two vectors?

We are given that the magnitude of the sum of two vectors is equal to the magnitude of difference of the two vectors. Let us consider →A and →B to be the two vectors which satisfy the given condition.

What is the magnitude of two vectors added?

To add the two vectors, add them in coordinate form: (3.5, 3.5) + (5.7, 4.0) = (9.2, 7.5). Convert (9.2, 7.5) into magnitude/angle form. Apply the equation theta = tan–1(y/x) to find the angle, which is tan–1(7.5/9.2) = tan–1(0.82) = 39 degrees.

What is the magnitude of the difference of two vectors?

Is magnitude and resultant same?

It is also mentioned that the magnitude of resultant is equal to the magnitude of either of them i.e. ∣A∣=∣B∣=∣A+B∣. Find the resultant of both the vectors and then equate it with the magnitude of resultant of either of the vectors.

Can the sum of two vectors be perpendicular to both vectors?

Since, So, It is proved that if the sum and difference of two vectors are perpendicular to each other, then the vectors are equal in magnitude.