- Home
- Standard 11
- Physics
3-2.Motion in Plane
easy
What is the value of linear velocity, if $\vec \omega \, = \,3\hat i\, - \,4\hat j\, + \hat k\,\,$ and $\,\,\vec r \, = \,5\hat i\, - \,6\hat j\, + 6\hat k$
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
$\overrightarrow{\mathrm{v}}=\overrightarrow{\mathrm{\omega}} \times \overrightarrow{\mathrm{r}}=\left|\begin{array}{ccc}{\hat{\mathrm{i}}} & {\hat{\mathrm{j}}} & {\hat{\mathrm{k}}} \\ {3} & {-4} & {1} \\ {5} & {-6} & {6}\end{array}\right|=-18 \hat{\mathrm{i}}-13 \hat{\mathrm{j}}+2 \hat{\mathrm{k}}$
Standard 11
Physics
