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3-1.Vectors
easy
$ \overrightarrow a \,.\,\overrightarrow b = 0 $ અને $ \overrightarrow a \,.\,\overrightarrow c = 0. $ હોય,તો $ \overrightarrow a $ કોને સમાંતર થશે?
A
$ \overrightarrow b $
B
$ \overrightarrow c $
C
$ \overrightarrow b \,.\,\overrightarrow c $
D
$ \overrightarrow b \times \overrightarrow c $
(AIIMS-1996)
Solution
(d ) $\vec a\,.\,\vec b = 0$ i.e. $\vec a $ and $\vec b$ will be perpendicular to each other
$\vec a\,.\,\vec c = 0$ i.e. $\vec a$ and $\vec c$ will be perpendicular to each other
$\vec b \times \vec c$ will be a vector perpendicular to both $\vec b$ and $\vec c$
So $\vec a$ is parallel to $\vec b \times \vec c$
Standard 11
Physics
