Let \( \vec{a} \) and \( \vec{b} \) be two unit vectors such that \... VIDEO
Let \( \vec{a} \) and \( \vec{b} \) be two unit vectors such that \( \vec{a} \cdot \vec{b}=0 \).
P For some \( x, y \in R \), let \( \vec{c}=x \vec{a}+y \vec{b}+(\vec{a} \times \vec{b}) \). If
W \( |\vec{c}|=2 \) and the vector \( \overrightarrow{\mathrm{c}} \) is inclined at the same angle \( \alpha \) to both \( \vec{a} \) and \( \vec{b} \), then the value of \( 8 \cos ^{2} \alpha \) is
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