When the sum and difference of two vectors is same in magnitude?

A:The sum and difference of two vectors will be equal in magnitude when two vectors are perpendicular to each other.

Under what condition the magnitude of sum of two vectors is equal to sum of magnitudes of these 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).

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

Here angle $\theta $ represents the angle between vectors A and B which we are required to find out. Similarly, we can write the magnitude of difference of these two vectors which can be given in the following way. Now on squaring both sides of this equation, we get the following expression.

How do you find the magnitude of a vector sum AB?

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.

Under what condition will the sum and difference of two vectors?

Thus , when the two vectors are equal in magnitude and perpendicular to each other. then the sum and difference of two vectors will be equal in magnitude .

Are sum and difference of two vectors A and B are mutually perpendicular to each other prove that both vectors are equal in magnitude?

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.

How to find the sum and difference of two vectors?

The sum and difference of two vectors A and B are A + B = 2î + 6ĵ + k̂ ; A – B = 4î + 2ĵ – 11k̂. Find the magnitude of each vector and their scalar product A.

What is the magnitude of the resultant of two equal vectors?

We are given A = B= R=A (say), then So if two equal vectors are at 120° to each other the magnitude of the resultant is equal to either vector. The sum of two vectors is at right angles to their difference. How do you show that the vectors are equal in magnitude?

How do you find the magnitude of a right angle vector?

R² = A ² + B² + 2 AB Cos ß, where ß is the angle between the vectors A,B. We are given A = B= R=A (say), then So if two equal vectors are at 120° to each other the magnitude of the resultant is equal to either vector. The sum of two vectors is at right angles to their difference.

What is the maximum and minimum sum of two vectors?

The maximum sum of two vectors are obtained when the two vectors are directed in the same direction. The minimum sum is obtained when the two vectors are directed in the opposite direction. Is vector addition commutative? Yes, vector addition is commutative.