A) \[2\sqrt{26}\]
B) \[\sqrt{26}\]
C) \[\frac{1}{\sqrt{26}}\]
D) \[4\]
E) \[2\]
Correct Answer: E
Solution :
Point \[\overrightarrow{a}=2\hat{i}+10\hat{j}+\hat{k}\] Equation of plane\[\overrightarrow{r}.(3\hat{i}-\hat{j}+4\hat{k})=2\sqrt{26}\] In cartesion form, it is written as \[3x-y+4z=2\sqrt{26}\] \[\therefore \]Distance\[\left| \frac{6-10+4-2\sqrt{26}}{\sqrt{9+1+16}} \right|\] \[=\frac{2\sqrt{26}}{\sqrt{26}}=2\]You need to login to perform this action.
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