If ABCDE is a pentagon, then AB + AE + BC + DC + ED + AC equals

Mathematics · JEE Main · NTA ExamsThree Dimensional Geometry

If ABCDE is a pentagon, then \(\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AE}}+\overrightarrow{\mathrm{BC}}+\overrightarrow{\mathrm{DC}}+\overrightarrow{\mathrm{ED}}+\overrightarrow{\mathrm{AC}}\) equals
  1. \(3 \overrightarrow{\mathrm{AD}}\)
  2. \(3 \overrightarrow{\mathrm{AC}}\)
  3. \(3 \overrightarrow{\mathrm{BE}}\)
  4. \(3 \overrightarrow{\mathrm{CE}}\)

Answer

(B) 3 AC

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