यदि ω^ → nbsp; nbsp; = 3î - 4ĵ + k̂ तथ

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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

$6\hat i - 2\hat j + 8\hat k$

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

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