The magnitude of the vector $|2\hat{i} - \hat{j} - 5\hat{k}|$ is .....

  • A
    $\sqrt{30}$
  • B
    $\sqrt{38}$
  • C
    $\sqrt{42}$
  • D
    $\sqrt{35}$

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Vector $\overrightarrow{A}$ makes equal angles with $x, y,$ and $z$ axes. The value of its components (in terms of the magnitude of $\overrightarrow{A}$) will be:

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If two vectors $2\hat{i} + 3\hat{j} - \hat{k}$ and $-4\hat{i} - 6\hat{j} + \lambda\hat{k}$ are parallel to each other,then the value of $\lambda$ is:

A body cools from $100^\circ C$ to $60^\circ C$ in $20$ minutes, the temperature of the surroundings being $20^\circ C$. The total time taken (in minutes) for the body to cool down to $40^\circ C$ is ...

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