MCQ
If $\vec{A}+\vec{B}=\vec{C}$ and $A = B = C$, then what should be the angle between $\vec{A}$ and $\vec{B}$ ?
  • A
    $0$
  • B
    $\frac{\pi}{3}$
  • C
    $\frac{2 \pi}{3}$
  • D
    $\pi$

Answer

C. $\frac{2 \pi}{3}$
Explanation:
$
\begin{array}{l}
C=\left[A^2+B^2+2 AB \cos \frac{2 \pi}{3}\right]^{1 / 2} \\
=\left[A^2+B^2+2 A^2\left(-\frac{1}{2}\right)\right]^{1 / 2}=A=B
\end{array}
$

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