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3.2 , motion in plane — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics3.2 , motion in plane1 Mark
MCQ
What is the value of linear velocity, if $\vec \omega = 3\hat i - 4\hat j + \hat k$ and $\vec r = 5\hat i - 6\hat j + 6\hat k$
  • A
    $6\hat i + 2\hat j - 3\hat k$
  • ✓
    $ - 18\hat i - 13\hat j + 2\hat k$
  • C
    $4\hat i - 13\hat j + 6\hat k$
  • D
    $6\hat i - 2\hat j + 8\hat k$
✓

Answer

Correct option: B.
$ - 18\hat i - 13\hat j + 2\hat k$
b
(b)$\overrightarrow v = \overrightarrow \omega \times \overrightarrow r = \left| {\begin{array}{*{20}{c}}{\hat i}&{\hat j}&{\hat k}\\3&{ - 4}&1\\5&{ - 6}&6\end{array}} \right| = - 18\hat i - 13\hat j + 2\hat k$

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