If a, b and c be three non-zero vectors, no two of which are collinear. If the vector \[\mathbf{a}+2\mathbf{b}\] is collinear with c and \[\mathbf{b}+3\mathbf{c}\] is collinear with a, then (\[\lambda \] being some non-zero scalar) \[\mathbf{a}+2\mathbf{b}+6\mathbf{c}\] is equal to [AIEEE 2004]

If a, b and c be three non-zero vectors, no two of which are collinear

1.	If a, b and c be three non-zero vectors, no two of which are collinear. If the vector \[\mathbf{a}+2\mathbf{b}\] is collinear with c and \[\mathbf{b}+3\mathbf{c}\] is collinear with a, then (\[\lambda \] being some non-zero scalar) \[\mathbf{a}+2\mathbf{b}+6\mathbf{c}\] is equal to [AIEEE 2004]
A.	\[\lambda \mathbf{a}\]
B.	\[\lambda \mathbf{b}\]
C.	\[\lambda \mathbf{c}\]
D.	0
Answer» E.

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If a, b and c be three non-zero vectors, no two of which are collinear. If the vector \[\mathbf{a}+2\mathbf{b}\] is collinear with c and \[\mathbf{b}+3\mathbf{c}\] is collinear with a, then (\[\lambda \] being some non-zero scalar) \[\mathbf{a}+2\mathbf{b}+6\mathbf{c}\] is equal to [AIEEE 2004]

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