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 | v | is [IIT 1999]

Let a and b be two non-collinear unit vectors. If \[\mathbf{u}=\mathbf

1.	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 \| v \| is [IIT 1999]
A.	\| u \|
B.	\| u \|+\| u . a \|
C.	\| u \|+\| u . b \|
D.	\| u \|+ u . (a+b)
Answer» D. \| u \|+ u . (a+b)

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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 | v | is [IIT 1999]

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