Browse Questions

# If $\overrightarrow a\:\:and\:\:\overrightarrow b$ are two unit vectors, then $\overrightarrow a\times\overrightarrow b$ is also a unit vector if ?

Given: $|\overrightarrow a|=|\overrightarrow b|=|\overrightarrow a\times\overrightarrow b|=1$
$\Rightarrow\:1=sin\theta$ where $\theta$ is angle between $\overrightarrow a\:\: and\:\:\overrightarrow b$
$\Rightarrow\:\theta=\large\frac{\pi}{2}$