If the magnitude of the resultant of two vectors of equal magnitudes is equal to the magnitude of either vectors, then the angle between two vectors is a. 125° b. 130° c. 110° d. 120°

The magnitude of the vectors is given by

R = √(A²+B²+2ABcosθ)

Now, X = √(X²+X²+2X²cosθ)

X² = 2X² + 2X²cosθ

2X²cosθ = X² – 2X²

2X²cosθ = -X²

2cosθ = -1

cosθ = -1/2

θ = cos⁻¹(-1/2)

θ = 120°

Therefore, the angle between the vectors is 120°

Summary:

If the magnitude of the resultant of two vectors of equal magnitudes is equal to the magnitude of either vector, then the angle between the two vectors is

1. 125°

2. 130°

3. 110°

4. 120°

If the magnitude of the resultant of two vectors of equal magnitudes is equal to the magnitude of either vector, then the angle between the two vectors is 120°.

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