For any vector \(\rm\vec{a}\), the value of (\(\rm\vec{a}\) × î)2 + (\(\rm\vec{a}\) × ĵ)2 + (\(\rm\vec{a}\) × k̂)2 is equal to

1
\(\rm\vec{a}^2\)
2
\(3\rm\vec{a}^2\)
3
\(4\rm\vec{a}^2\)
4
\(2\rm\vec{a}^2\)

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