A particle is simultaneously acted by two forces equal to $4\, N$ and $3 \,N$. The net force on the particle is

  • A

    $7\, N$

  • B

    $5\, N$

  • C

    $1\, N$

  • D

    Between $1\, N$ and $7 \,N$

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In the diagram shown in figure

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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The three vectors $\overrightarrow A = 3\hat i - 2\hat j + \hat k,\,\,\overrightarrow B = \hat i - 3\hat j + 5\hat k$ and $\overrightarrow C = 2\hat i + \hat j - 4\hat k$ form