Let vector(a) and vector(b) be two vectors such that |vector(a)| = 3

Question

Let \(\vec{a}\) and \(\vec{b}\) be two vectors such that \(\big|\vec{a}\big|=3\) and \(\big|\vec{b}\big|=\frac{\sqrt{2}}{3}\) and \(\vec{a}\,\times \vec{b}\) is a unit vector. What is the angle between \(\vec{a}\) and \(\vec{b}\)?

Answer 1

We have, \(\big|\vec{a}\big|=3,\) \(\big|\vec{b}\big|=\frac{\sqrt{2}}{3}\)