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The perpendicular distance of point \(P(3,2,5)\) from the line \(\vec{r}=2 \hat{\imath}-\hat{\jmath}+\hat{k}+\lambda(4 \…

Q1

The perpendicular distance of point \(P(3,2,5)\) from the line \(\vec{r}=2 \hat{\imath}-\hat{\jmath}+\hat{k}+\lambda(4 \hat{\imath}-\hat{\jmath}+5 \hat{k})\) is (22 Jan, Shift II, Memory Based)

a

\(\sqrt{\frac{31}{2}}\)

b

\(\sqrt{\frac{19}{42}}\)

c

\(\sqrt{\frac{42}{19}}\)

d

\(\sqrt{\frac{21}{19}}\)

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