A) \[x=0,\,\,y=0,\,\,z=0\]
B) \[x\ne 0,\,\,y\ne 0,\,\,z=0\]
C) \[x=0,\,\,y\ne 0,\,\,z\ne 0\]
D) \[x\ne 0,\,\,y\ne 0,\,\,z\ne 0\]
Correct Answer: A
Solution :
Since,\[x\mathbf{a}+y\mathbf{b}+z\mathbf{c}=0\] Also,\[\mathbf{a,}\,\,\mathbf{b}\]and\[\mathbf{c}\]are non-collinear vectors, then\[x=y=z=0\]You need to login to perform this action.
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