Find the values of \( \lambda \) and \( \mu \) if the vectors \( \l...

Find the values of \( \lambda \) and \( \mu \) if the vectors \( \lambda \hat{i}-3 \hat{j}-6 \hat{k} \) and \( 3 \hat{i}-\mu \hat{j}-2 \hat{k} \) are mutually perpendicular vectors of equal magnitude.