Gujarati
3-2.Motion in Plane
easy

यदि $\mathop \omega \limits^ \to   = 3\hat i - 4\hat j + \hat k$ तथा $\mathop r\limits^ \to   = 5\hat i - 6\hat j + 6\hat k$ हो तो कण का रेखीय वेग है

A$6\hat i + 2\hat j - 3\hat k$
B$ - 18\hat i - 13\hat j + 2\hat k$
C$4\hat i - 13\hat j + 6\hat k$
D$6\hat i - 2\hat j + 8\hat k$

Solution

$\overrightarrow v = \overrightarrow \omega \times \overrightarrow r = \left| {\begin{array}{*{20}{c}}{\hat i}&{\hat j}&{\hat k}\\3&{ – 4}&1\\5&{ – 6}&6\end{array}} \right| = – 18\hat i – 13\hat j + 2\hat k$
Standard 11
Physics

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