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Question 1
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If $\vec{e_1}=(1,1,1)$ and $\vec{e_2}=(1,1,-1)$ and $\vec{a}$ and $\vec{b}$ and two vectors such that $\vec{e_2}=\vec{a}+2\vec{b}$ , then angle between $\vec{a}$ and $\vec{b}$
A.
$$\cos ^{-1}(-\frac{7}{11})$$
B.
$$\cos ^{-1}(\frac{7}{11})$$
C.
$$\cos ^{-1}(\frac{7}{9})$$
D.
$$\cos ^{-1}(\frac{6\sqrt[]{2}}{11})$$
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