The vectors $5i + 8j$ and $2i + 7j$ are added. The magnitude of the sum of these vector is

  • A

    $\sqrt {274} $

  • B

    $38$

  • C

    $238$

  • D

    $560$

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Given that $\vec A\, + \,\vec B\, = \,\vec C\,.$  If  $\left| {\vec A} \right|\, = \,4,\,\,\left| {\vec B} \right|\, = \,5\,\,$ and $\left| {\vec C} \right|\, =\,\sqrt {61}$ the angle between $\vec A\,\,$ and $\vec B$ is ....... $^o$

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  • [AIPMT 1991]

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