Question

On the vectors a = 3p - q and b = p + 3q, where |p| = |q| = 2 and angle between them is π/3, show that the ratio of the lengths of the sides is √7/√13

Answer 1

\(|\overline{p}| = |\overline{q}| = 2\) and angle between \(\overline{p}\) and \(\overline{q}\) is \(\frac{\pi}{3}.\)

Ratio of lengths of the sides

Hence, the ratio of the lengths of the sides is : \(\frac{\sqrt{7}}{\sqrt{13}}\)