If \[\vec{a}=\hat{i}+\hat{j}+\hat{k},\vec{b}=4\hat{i}+3\hat{j}+4\hat{k}\] and\[\vec{c}=\hat{i}+\alpha \hat{j}+\beta \hat{k}\] are coplanar and \[\left| {\vec{c}} \right|=\sqrt{3}\], then

If \[\vec{a}=\hat{i}+\hat{j}+\hat{k},\vec{b}=4\hat{i}+3\hat{j}+4\hat{k

1.	If \[\vec{a}=\hat{i}+\hat{j}+\hat{k},\vec{b}=4\hat{i}+3\hat{j}+4\hat{k}\] and\[\vec{c}=\hat{i}+\alpha \hat{j}+\beta \hat{k}\] are coplanar and \[\left\| {\vec{c}} \right\|=\sqrt{3}\], then
A.	\[\alpha =\sqrt{2},\beta =1\]
B.	\[\alpha =1,\beta =\pm 1\]
C.	\[\alpha =\pm 1,\beta =1\]
D.	\[\alpha =\pm 1,\beta =-1\]
Answer» D. \[\alpha =\pm 1,\beta =-1\]

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If \[\vec{a}=\hat{i}+\hat{j}+\hat{k},\vec{b}=4\hat{i}+3\hat{j}+4\hat{k}\] and\[\vec{c}=\hat{i}+\alpha \hat{j}+\beta \hat{k}\] are coplanar and \[\left| {\vec{c}} \right|=\sqrt{3}\], then

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