Question

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If resultant of two vectors of equal magnitude is equal to magnitude of either vector, then the angle between two vectors is
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Answer 1

Answer:

Suppose, two vectors to be added have equal magnitude F, then if resultant has also same magnitude, the three vectors( two to be added and one resultant) will form an equilateral triangle. This will give angle between two given vectors as 120 deg

Answer 2

Answer:

R=A=B  (given)

R=A2+B2+2ABcosθ

R2=A2+B2+2ABcosθ

⟹A2=A2+A2+2A2cosθ

⟹cosθ=2−1

⟹θ=120°