If a =3 i -2 j + k and b =- i + j + k , then the unit vector parallel to a + b , is

Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry

1. \(\frac{1}{3}(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}})\)
2. \(\frac{1}{5}(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}})\)
3. \(\frac{1}{\sqrt{3}}(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}})\)
4. none of these

Answer

(A) 1 3 (2 i - j +2 k )

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