The vectors \({\rm{\vec \alpha }},{\rm{\;\vec b}},{\rm{\;\vec c}}\) and \({\rm{\vec d}}\) are such that \({\rm{\vec a}} \times {\rm{\vec b}} = {\rm{\vec c}} \times {\rm{\vec d}}\) and \({\rm{\vec a}} \times {\rm{\vec c}} = {\rm{\vec b}} \times {\rm{\vec d}}\). Which of the following is/are correct?1. \(\left( {{\rm{\vec a}} - {\rm{\vec d}}} \right) \times \left( {{\rm{\vec b}} - {\rm{\vec c}}} \right) = \vec 0\)2. \(\left( {{\rm{\vec a}} \times {\rm{\vec b}}} \right) \times \left( {{\rm{\vec c}} \times {\rm{\vec d}}} \right) = \vec 0\)Select the correct answer using the code given below:

The vectors \({\rm{\vec \alpha }},{\rm{\;\vec b}},{\rm{\;\vec c}}\) a

1.	The vectors \({\rm{\vec \alpha }},{\rm{\;\vec b}},{\rm{\;\vec c}}\) and \({\rm{\vec d}}\) are such that \({\rm{\vec a}} \times {\rm{\vec b}} = {\rm{\vec c}} \times {\rm{\vec d}}\) and \({\rm{\vec a}} \times {\rm{\vec c}} = {\rm{\vec b}} \times {\rm{\vec d}}\). Which of the following is/are correct?1. \(\left( {{\rm{\vec a}} - {\rm{\vec d}}} \right) \times \left( {{\rm{\vec b}} - {\rm{\vec c}}} \right) = \vec 0\)2. \(\left( {{\rm{\vec a}} \times {\rm{\vec b}}} \right) \times \left( {{\rm{\vec c}} \times {\rm{\vec d}}} \right) = \vec 0\)Select the correct answer using the code given below:
A.	1 only
B.	2 only
C.	Both 1 and 2
D.	Neither 1 nor 2
Answer» D. Neither 1 nor 2