Question

two vectors p and q have equal magnitudes if the magnitudes of vector A + vector B is equals to m times the magnitude of vector A- vector B ,what is the angle between vector A and vector B .​

Answer 1

Answer:

∣A+B∣=n∣A−B∣

⟹(A2+B2+2ABcosθ)=n2(A2+B2−2ABcosθ)

It is given that A+B

Hence cosθ=n2+1n2−1

⟹θ=cos−1(n2+1n2−1)