question_answer

The edge of a cube is of length -a- then the shortest distance between the diagonal of a cube and an edge skew to it is

A) \[a\sqrt{2}\]

B) a

C) \[\sqrt{2}/a\]

D) \[a/\sqrt{2}\]

Correct Answer: D

Solution :

                                          

• Requaried distance = KL                                                              
• \[=\sqrt{{{\left( a-\frac{a}{2} \right)}^{2}}+{{0}^{2}}+{{\left( 0-\frac{a}{2} \right)}^{2}}}\]\[=\frac{a}{\sqrt{2}}\].