If a, b, c are the position vectors of three collinear points, then the existence of x, y, z is such that

\[x\mathbf{a}+y\mathbf{b}+z\mathbf{c}=0,\,\,x+y+z\ne 0\]

\[x\mathbf{a}+y\mathbf{b}+z\mathbf{c}\ne 0,\,\,x+y+z=0\]

\[x\mathbf{a}+y\mathbf{b}+z\mathbf{c}\ne 0,\,\,x+y+z\ne 0\]

\[x\mathbf{a}+y\mathbf{b}+z\mathbf{c}=0,\,\,x+y+z=0\]

If a, b, c are the position vectors of three collinear points, then th

1.	If a, b, c are the position vectors of three collinear points, then the existence of x, y, z is such that
A.	\[x\mathbf{a}+y\mathbf{b}+z\mathbf{c}=0,\,\,x+y+z\ne 0\]
B.	\[x\mathbf{a}+y\mathbf{b}+z\mathbf{c}\ne 0,\,\,x+y+z=0\]
C.	\[x\mathbf{a}+y\mathbf{b}+z\mathbf{c}\ne 0,\,\,x+y+z\ne 0\]
D.	\[x\mathbf{a}+y\mathbf{b}+z\mathbf{c}=0,\,\,x+y+z=0\]
Answer» E.

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If a, b, c are the position vectors of three collinear points, then the existence of x, y, z is such that

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