Let \( a \) and \( b \) be two non-collinear unit vectors. If \( \mathbf{u}=\mathbf{a}-(\mathbf{...
Let \( a \) and \( b \) be two non-collinear unit vectors. If \( \mathbf{u}=\mathbf{a}-(\mathbf{a} . \mathbf{b}) \mathbf{b} \) and \( \mathbf{v}=\mathbf{a} \times \mathbf{b} \), then \( |\mathbf{v}| \) is
(a) \( |\mathbf{u}| \)
(b) \( |\mathbf{u}|+|\mathbf{u} . \mathbf{a}| \)
(c) \( |\mathbf{u}|+|\mathbf{u} . \mathbf{b}| \)
(d) \( |\mathbf{u}|+\mathbf{u} \cdot(\mathbf{a}+\mathbf{b}) \)
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