The value of x for which the angle between the vectors \[\mathbf{a}=-\,3\mathbf{i}+x\mathbf{j}+\mathbf{k}\] and \[\mathbf{b}=x\mathbf{i}+2x\mathbf{j}+\mathbf{k}\] is acute and the angle between b and x-axis lies between \[\pi /2\] and \[\pi \]satisfy [Kurukshetra CEE 1996]

The value of x for which the angle between the vectors \[\mathbf{a}=-\

1.	The value of x for which the angle between the vectors \[\mathbf{a}=-\,3\mathbf{i}+x\mathbf{j}+\mathbf{k}\] and \[\mathbf{b}=x\mathbf{i}+2x\mathbf{j}+\mathbf{k}\] is acute and the angle between b and x-axis lies between \[\pi /2\] and \[\pi \]satisfy [Kurukshetra CEE 1996]
A.	\[x>0\]
B.	\[x<0\]
C.	\[x>1\] only
D.	\[x<-1\] only
Answer» C. \[x>1\] only

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The value of x for which the angle between the vectors \[\mathbf{a}=-\,3\mathbf{i}+x\mathbf{j}+\mathbf{k}\] and \[\mathbf{b}=x\mathbf{i}+2x\mathbf{j}+\mathbf{k}\] is acute and the angle between b and x-axis lies between \[\pi /2\] and \[\pi \]satisfy [Kurukshetra CEE 1996]

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