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3-1.Vectors
easy
નીચેના પૈકી કયો એકમ સદિશ $\overrightarrow A $ અને $\overrightarrow B $ ને લંબ છે.
A
$\frac{{\hat A \times \hat B}}{{AB\,\sin \theta }}$
B
$\frac{{\hat A \times \hat B}}{{AB\,\cos \theta }}$
C
$\frac{{\overrightarrow A \times \overrightarrow B }}{{AB\,\sin \theta }}$
D
$\frac{{\overrightarrow A \times \overrightarrow B }}{{AB\,\cos \theta }}$
Solution
(c) Vector perpendicular to $A$ and $B$, $\vec A \times \vec B = AB\sin \theta \;\hat n$
$\therefore$ Unit vector perpendicular to $A$ and $B$
$\hat n = \frac{{\vec A \times \vec B}}{{|\vec A| \times |\vec B|\sin \theta }}$
Standard 11
Physics
