Let \(\vec{a}\) be any vector such that \(|\vec{a}|=a\) The value of \(|\vec{a}\times\hat{i}|^{2}+|\vec{a}\times\hat{j}|^{2}+|\vec{a}\times\hat{k}|^{2}\) is:
A. \(a^{2}\)
B. \(2a^{2}\)
C. \(3a^{2}\)
D. 0
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