Question

If a and b are two vectors perpendicular to each other, prove that (a + b)² = (a - b)²

Answer 1

\(\overline{a}\) and \(\overline{b}\) are perpendicular to each other.

∴ LHS = RHS

Hence, (\(\overline{a}\) + \(\overline{b}\))² =  (\(\overline{a}\) - \(\overline{b}\))².