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3-2.Motion in Plane
easy
પદાર્થ માટે કોણીય વેગ $\mathop \omega \limits^ \to \,\, = \,\,\hat i\,\, - \,\,2\hat j\,\, + \;\,3\hat k$ અને ત્રિજ્યા સદિશ $\mathop r\limits^ \to \,\, = \,\hat i\,\, + \,\hat j\,\, + \;\,\hat k$ હોય તો વેગ શું હશે ?
A$ - 5\hat i\,\, + \;\;2\hat j\,\, + \;\,3\hat k$
B$ - 5\hat i\,\, + \;\;2\hat j\,\, - \;\,3\hat k$
C$ - 5\hat i\,\, - \;\;2\hat j\,\, + \;\,3\hat k$
D$ - 5\hat i\,\, - \;2\hat j\,\, - \;\,3\hat k$
Solution
$\,\mathop v\limits^ \to \,\, = \,\,\mathop \omega \limits^ \to \,\, \times \,\,\mathop r\limits^ \to \,\, = \,\,\left| {\left. {\,\begin{array}{*{20}{c}}
{\hat i}&{\hat j}&{\hat k}\\
1&{ – 2}&3\\
1&1&1
\end{array}\,} \right|} \right.\,\, = \,\, – 5\hat i\,\, + \;\;2\hat j\,\, + \;\,3\hat k$
{\hat i}&{\hat j}&{\hat k}\\
1&{ – 2}&3\\
1&1&1
\end{array}\,} \right|} \right.\,\, = \,\, – 5\hat i\,\, + \;\;2\hat j\,\, + \;\,3\hat k$
Standard 11
Physics
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