Let \[\mathbf{a},\,\mathbf{b},\,\mathbf{c}\] be three vectors such that \[\mathbf{a}\ne 0,\] and \[\mathbf{a}\times \mathbf{b}=2\mathbf{a}\times \mathbf{c},\,\,|\mathbf{a}|\,=\,|\mathbf{c}|\,=\,1,\,|\mathbf{b}|\,=4\] and \[|\mathbf{b}\times \mathbf{c}|\,=15.\] If \[\mathbf{b}-2\mathbf{c}=\lambda \mathbf{a},\] then l equals to [Orissa JEE 2004]

Let \[\mathbf{a},\,\mathbf{b},\,\mathbf{c}\] be three vectors such tha

1.	Let \[\mathbf{a},\,\mathbf{b},\,\mathbf{c}\] be three vectors such that \[\mathbf{a}\ne 0,\] and \[\mathbf{a}\times \mathbf{b}=2\mathbf{a}\times \mathbf{c},\,\,\|\mathbf{a}\|\,=\,\|\mathbf{c}\|\,=\,1,\,\|\mathbf{b}\|\,=4\] and \[\|\mathbf{b}\times \mathbf{c}\|\,=15.\] If \[\mathbf{b}-2\mathbf{c}=\lambda \mathbf{a},\] then l equals to [Orissa JEE 2004]
A.	1
B.	\[\pm \,4\]
C.	3
D.	? 2
Answer» C. 3

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