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3-2.Motion in Plane
easy
જો $\mathop \omega \limits^ \to \,\, = \,\,(3\,\hat i\,\, + \,\,4\hat j\,\, + \,\,5\hat k)\,\,\,rad/s$ અને $\mathop r\limits^ \to \,\, = \,\,(\hat i - 2\hat j + 3\hat k)\,m$ હોય, તો પદાર્થના રેખીય વેગનો સદિશ .......
A
$(22, -4, 2)$
B
$(-22, 4, 2)$
C
$(22, -4, -10)$
D
$(22, 4, 2)$
Solution
$\overrightarrow v$ = $\overrightarrow \omega \, \times \,\overrightarrow r \, = \left|{\,\begin{array}{*{20}{c}}{\hat i\,\,}&{\hat j\,\,}&{\hat k}\\{3\,\,}&{4\,\,}&5\\{1\,\,\,}&{ – 2\,\,\,}&3\end{array}\,} \right|\,$
$ = 22 \hat i – 4 \hat j – 10 \hat k$
$ = (22,-4,-10)\ m/s$
Standard 11
Physics
