Question
If $ \vec{a} = \hat{i} + \lambda \hat{j} + 2\hat{k} $, $ \vec{b} = \mu \hat{i} + \hat{j} - \hat{k} $ are orthogonal and $ |\vec{a}| = |\vec{b}| $, then $ (\lambda, \mu) = $
If $ \vec{a} = \hat{i} + \lambda \hat{j} + 2\hat{k} $, $ \vec{b} = \mu \hat{i} + \hat{j} - \hat{k} $ are orthogonal and $ |\vec{a}| = |\vec{b}| $, then $ (\lambda, \mu) = $