defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Vector Algebra Scalar and Vector Product
Let the vectors \(\vec{a}\) and \(\vec{b}\) be such that |\(\vec{a}\)| = 3 and |\(\vec{b}\)| = \(\frac{\sqrt{2}}{3}\). If \(\vec{a}\) × \(\vec{b}\) is a unit vector, then the angle between \(\vec{a}\) and \(\vec{b}\) is ________.
1
\(\frac{\pi}{2}\)
2
\(\frac{\pi}{4}\)
3
\(\frac{\pi}{3}\)
4
\(\frac{\pi}{6}\)