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3-2.Motion in Plane
medium
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
$6\hat i - 2\hat j + 3\hat k$
B
$6\hat i - 2\hat j + 8\hat k$
C
$4\hat i - 13\hat j + 6\hat k$
D
$ - 18\hat i - 13\hat j + 2\hat k$
(AIPMT-1999)
Solution
(d) $\vec v = \vec \omega \times \vec 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$
Standard 11
Physics
