For any vector \({\rm{\vec a}}\)
\({\left| {{\rm{\vec a}} \times {\rm{\hat i}}} \right|^2} + {\left| {{\rm{\vec a}} \times {\rm{\hat j}}} \right|^2} + {\left| {{\rm{\vec a}} \times {\rm{\hat k}}} \right|^2}\) is equal to
1
\({\left| {{\rm{\vec a}}} \right|^2}\)
2
\(2{\left| {{\rm{\vec a}}} \right|^2}\)
3
\(3{\left| {{\rm{\vec a}}} \right|^2}\)
4
\(4{\left| {{\rm{\vec a}}} \right|^2}\)