If a =2 i +5 j and b =2 i - j , then unit vector in the direction of a + b is

Mathematics · JEE Main · NTA ExamsThree Dimensional Geometry

If \(\vec{a}=2 \hat{i}+5 \hat{j} \text { and } \vec{b}=2 \hat{i}-\hat{j},\) then unit vector in the direction of \(\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}\) is
  1. \(\hat{\mathrm{i}}+\hat{\mathrm{j}}\)
  2. \(\sqrt{2}(\hat{\mathrm{i}}+\hat{\mathrm{j}})\)
  3. \((\hat{i}+\hat{j}) / \sqrt{2}\)
  4. \((\hat{i}-\hat{j}) / \sqrt{2}\)

Answer

(C) ( i + j ) / 2

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