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 Exams — Three 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
- \(\hat{\mathrm{i}}+\hat{\mathrm{j}}\)
- \(\sqrt{2}(\hat{\mathrm{i}}+\hat{\mathrm{j}})\)
- \((\hat{i}+\hat{j}) / \sqrt{2}\)
- \((\hat{i}-\hat{j}) / \sqrt{2}\)
Answer
(C) ( i + j ) / 2
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