the angle between two vector of equal magnitude is 120 degree
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Explanation:
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R =A +B
where R is the vector sum of A⃗ and B⃗ .
R2=R .R =(A +B ).(A +B ).
R2=A .A +B .B +2A .B
R2=A2+B2+2A .B
Now A=B=R
R2=R2+R2+2R2cosθ
cosθ=−12
which gives
θ=120
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