If vectors vector(a) and vector(b) are such that |vector{a}| = 1/2,

Question

If vectors \(\vec{a}\) and \(\vec{b}\) are such that \(\big|\vec{a}\big|=\frac{1}{2},\) \(\big|\vec{b}\big|=\frac{4}{\sqrt{3}}\) and \(\big|\vec{a}\times \vec{b}\big|=\frac{1}{\sqrt{3}},\) then find \(\big|\vec{a}. \vec{b}\big|.\)

Answer 1

[\(\because\) \(\theta\) is angles between \(\vec{a}\) and \(\vec{b}\)]