Two vectors $\vec{A}$ and $\vec{B}$ have magnitudes $3 \text{ units}$ and $4 \text{ units}$ respectively. If the angle between them is $60^{\circ}$,find the magnitude of their resultant vector.

  • A
    $5 \text{ units}$
  • B
    $7 \text{ units}$
  • C
    $\sqrt{37} \text{ units}$
  • D
    $\sqrt{13} \text{ units}$

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Two vectors of equal magnitude $5$ units have an angle $60^\circ$ between them. Find the magnitude of $(a)$ the sum of the vectors and $(b)$ the difference of the vectors.

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