Consider the following equations for two vectors \(\vec{a}\) and \(\vec{b}\)1. \(\left( \vec{a}+\vec{b} \right)\cdot \left( \vec{a}-\vec{b} \right)={{\left| {\vec{a}} \right|}^{2}}-{{\left| {\vec{b}} \right|}^{2}}\)2. \(\left( \left| \vec{a}+\vec{b} \right| \right)\left( \left| \vec{a}-\vec{b} \right| \right)={{\left| {\vec{a}} \right|}^{2}}-{{\left| {\vec{b}} \right|}^{2}}\)3. \({{\left| \vec{a}\cdot \vec{b} \right|}^{2}}+{{\left| \vec{a}\times \vec{b} \right|}^{2}}={{\left| {\vec{a}} \right|}^{2}}{{\left| {\vec{b}} \right|}^{2}}\)Which of the above statement are correct?

• A. 1, 2 and 3
• B. 1 and 2 only
• C. 1 and 3 only
• D. 2 and 3 only