Match List-I with List-II

Choose the correct answer from the options given below.

A-III, B-I, C-IV, D-II

A. $d=\left|\frac{1+1+1-2}{\sqrt{1^2+(-1)^2+1^2}}\right|=\frac{1}{\sqrt{3}}$        (III)

B. $\vec{r} . (\hat{i}+\hat{j}+\hat{k})=2 \Rightarrow x+y+z=2$           (I)

C. $d=\left|\frac{1-1-1-5}{\sqrt{1^2+1^2+(-1)^2}}\right|=\frac{6}{\sqrt{3}}=2 \sqrt{3}$        (IV)

D. $\vec{r} . (-\hat{i}+\hat{j}+\hat{k})=5 \Rightarrow -x+y+z=5$        (II)

Option: D