The length of the perpendicular from origin on plane r (3 i -4 j +12 k )=5 is

Mathematics · JEE Main · NTA ExamsThree Dimensional Geometry

The length of the perpendicular from origin on plane \(\overrightarrow{\mathrm{r}} \cdot(3 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}+12 \hat{\mathrm{k}})=5\) is
  1. \(\frac{5}{69}\)
  2. \(\frac{25}{69}\)
  3. \(\frac{5}{13}\)
  4. \[\sqrt{\frac{5}{13}}\]

Answer

(C) 5 13

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