Question

vectors A and B have equal magnitude and magnitude of their resultent is also equal to magnitude of either of them. then angle between vector A and vector B are at an angle of

Answer 1

Hello!

The resultant (R) of two forces (A and B) is mathematically represented as

R² = A² + B² + 2ABCosθ

where θ is the angle between forces A and B. Now, as all three forces are equal, so

let R = A = B = x

So,

x² = x² + x² + 2x.xCosθ

or x² = 2x² (1 + Cosθ)

1/2 = 1 + Cosθ

thus , Cosθ = -1/2

or θ = 120^o