MathematicsHard202×since 2002Q5847The distance of the point Q(0,2,−2)Q(0,2,-2)Q(0,2,−2) form the line passing through the point P(5,−4,3)P(5,-4, 3)P(5,−4,3) and perpendicular to the lines r⃗=(−3i^+2k^)+λ(2i^+3j^+5k^),λ∈R\vec{r}=(-3 \hat{i}+2 \hat{k})+\lambda(2 \hat{i}+3 \hat{j}+5 \hat{k}), \lambda \in \mathbb{R}r=(−3i^+2k^)+λ(2i^+3j^+5k^),λ∈R and r⃗=(i^−2j^+k^)+μ(−i^+3j^+2k^),μ∈R\vec{r}=(\hat{i}-2 \hat{j}+\hat{k})+\mu(-\hat{i}+3 \hat{j}+2 \hat{k}), \mu \in \mathbb{R}r=(i^−2j^+k^)+μ(−i^+3j^+2k^),μ∈R is :A74\sqrt{74}74B86\sqrt{86}86C54\sqrt{54}54D20\sqrt{20}20Check answerSkip