Is the magnitude of the sum of two vectors is equal to the difference of their magnitude then the angle between vectors is?

Is the magnitude of the sum of two vectors is equal to the difference of their magnitude then the angle between vectors is?

We are given that the magnitude of the sum of two vectors is equal to the magnitude of difference of the two vectors. Hence, the angle between the two given vectors is 90$^\circ $. So, the correct answer is option B.

Is the magnitude of the sum of two vectors equal to the sum of their magnitudes individually?

No. The magnitude of (0, 1) is 1 and the magnitude of (1, 0) is also one, but the magnitude of their sum (1, 1) is the square root of two, which is not the sum of one and one.

What is the magnitude of the sum of these two vectors?

The sum of the two vectors is and its magnitude is 3, since is a unit vector. In words magnitude of sum of two vectors is square of magnitude of first vector + square of magnitude of second vector + twice the dot product of the two vectors whose sum’s magnitude is to be found.

What condition the magnitude of the sum of two vectors is equal to the magnitude of difference between them?

When they are perpendicular they have equal magnitude of resultant no matter not same vector..

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

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.

Under what condition the magnitude of sum of two vectors is equal to sum of magnitudes of the vectors?

The sum of 2 vectors of equal magnitude has a magnitude equal to that of either vector if and only if the angle between the 2 vectors is 120° or 240° (2π/3 or 4π/3 radians).

How do we find the magnitude of two vectors?

To work with a vector, we need to be able to find its magnitude and its direction. We find its magnitude using the Pythagorean Theorem or the distance formula, and we find its direction using the inverse tangent function. Given a position vector →v=⟨a,b⟩,the magnitude is found by |v|=√a2+b2.

When vectors are opposite to each other their magnitude of sum?

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. P.S. – Sorry for reading the question wrong. Thanx Abhig

What is the result of two vectors A and B?

The result of two vectors a and b is perpendicular to vector ‘a’ and its magnitude is equal to half of the magnitude of vector ‘b’.

How do you find the sum of three equal vectors?

Thus the three vectors are equally distributed over 360 degrees and by symmetry must cancel to zero. If so, the sum of the first two vectors may replace them, and again by symmetry, the sum vector must be positioned exactly midway between them, and diametrically opposite the third vector. Hence these two must have equal magnitude, c

Can the sub and difference of two vectors have the same direction?

The sub and difference of two vectors will not have the same direction, when the two vectors have unequal magnitudes but in the same direction. Because the resultant of of sum of two vectors will be the opposite of the resultant of subtraction of two vectors. Hence B is wrong. Answer verified by Toppr