1.

Find the angle between the lines \(\vec{r}=2\hat{i}+6\hat{j}-\hat{k}+λ(\hat{i}-2\hat{j}+3\hat{k})\) and \(\vec{r}=4\hat{i}-7\hat{j}+3\hat{k}+μ(5\hat{i}-3\hat{j}+3\hat{k})\).

A. θ=\(cos^{-1}\frac{⁡20}{\sqrt{602}}\)
B. θ=\(cos^{-1}\frac{⁡20}{\sqrt{682}}\)
C. θ=\(cos^{-1}\frac{⁡8}{\sqrt{602}}\)
D. θ=\(cos^{-1}⁡\frac{14}{\sqrt{598}}\)
Answer» B.


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