Kinematics Question 302

Question: Dot product of two mutual perpendicular vector is [Haryana CEET 2002]

Options:

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} $

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Answer:

Correct Answer: D

Solution:

$ \vec{v}=\vec{\omega }\times \vec{r}= \begin{vmatrix} {\hat{i}} & {\hat{j}} & {\hat{k}} \\ 3 & -4 & 1 \\ 5 & -6 & 6 \\ \end{vmatrix} $

$ =-18\hat{i}-13\hat{j}+2\hat{k} $



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