Given three vectors a =6 i -3 j , ~b =2 i -6 j and c =-2 i +21 j such that r = a + b + c…
Mathematics · JEE Main · NTA Exams — Vector Algebra
Given three vectors \(\overrightarrow{\mathrm{a}}=6 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}, \overrightarrow{\mathrm{~b}}=2 \hat{\mathrm{i}}-6 \hat{\mathrm{j}} \text { and } \overrightarrow{\mathrm{c}}=-2 \hat{\mathrm{i}}+21 \hat{\mathrm{j}}\) such that \(\overrightarrow{\mathbf{r}}=\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}+\overrightarrow{\mathbf{c}} .\) Then the resolution of the vectors \(\scriptstyle{\vec{\mathbf{a}}}\,\mathbf{and}\,{\vec{\mathbf{b}}}\) is given by
- \(3 \overrightarrow{\mathbf{a}}-2 \overrightarrow{\mathbf{b}}\)
- \(2 \overrightarrow{\mathrm{a}}-3 \overrightarrow{\mathrm{~b}}\)
- \(3 \vec{b}-2 \vec{a}\)
- None of these
Answer
(C) 3 b -2 a
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