Find the angle between the two lines if the equations of the lines are

1.	Find the angle between the two lines if the equations of the lines are
A.	\(\vec{r}=\hat{i}+\hat{j}+\hat{k}+λ(3\hat{i}-\hat{j}+\hat{k}) \,and \,\vec{r}=4\hat{i}+\hat{j}-2\hat{k}+μ(2\hat{i}+3\hat{j}+\hat{k})\)
B.	\(cos^{-1}\frac{⁡4}{\sqrt{14}}\)
C.	\(cos^{-1}⁡\frac{7}{\sqrt{154}}\)
D.	\(cos^{-1}⁡\frac{4}{154}\)
E.	\(cos^{-1}⁡\frac{4}{\sqrt{154}}\)
Answer» E.

Discussion

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If the equations of two lines L1 and L2 are \(\vec{r}=\vec{a_1}+λ\vec{b_1}\) and \(\vec{r}=\vec{a_2}+μ\vec{b_2}\), then which of the following is the correct formula for the angle between the two lines?
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