If a × b = a × c then correct statement is

Mathematics · JEE Main · NTA ExamsThree Dimensional Geometry

If \(\overrightarrow{\mathrm{a}}\) × \(\overrightarrow{\mathrm{b}}\) = \(\overrightarrow{\mathrm{a}}\) × \(\stackrel{\rightharpoonup}{\mathrm{c}}\) then correct statement is
  1. = 0
  2. = 0 = \(\stackrel{\rightharpoonup}{\mathrm{c}}\)
  3. \(\overrightarrow{\mathrm{b}}\) = \(\stackrel{\rightharpoonup}{\mathrm{c}}\)
  4. above three are not necessary

Answer

(D) above three are not necessary

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