Mathematics - Vector Question with Solution | TestHub

Let$\overrightarrow{a},\overrightarrow{b}$and$\overrightarrow{c}$be three vectors such that$\left|\overrightarrow{a}\right|=\sqrt{3},\left|\overrightarrow{b}\right|=5,\overrightarrow{b}\bullet \overrightarrow{c}=10$and the angle between$\overrightarrow{b}$and$\overrightarrow{c}$is$\frac{\pi }{3}.$If$\overrightarrow{a}$is perpendicular to the vector$\overrightarrow{b}\times \overrightarrow{c},$then$\left|\overrightarrow{a}\times \left(\overrightarrow{b}\times \overrightarrow{c}\right)\right|$is equal to ____________.