Show that each of the given three vectors is a unit vector: \[\frac{1}{7}(2\widehat{i}+3\widehat{j}+6\widehat{k})\],\[\frac{1}{7}(3\widehat{i}-6\widehat{j}+2\widehat{k})\],\[\frac{1}{7}(6\widehat{i}+2\widehat{j}-3\widehat{k})\] Also, show that they are mutually perpendicular to each other.