a =3 i -5 j and b =6 i +3 j are two vectors and c is a vector such that c =[ a b ] . Then…
Mathematics · JEE Main · NTA Exams — Vector Algebra
\(\overrightarrow{\mathrm{a}}=3 \hat{\mathrm{i}}-5 \hat{\mathrm{j}}\) and \(\vec{b}=6 \hat{i}+3 \hat{j}\) are two vectors and \(\overrightarrow{\mathrm{c}}\) is a vector such that \(\vec{c}=[\vec{a} \times \vec{b}]\). Then \(|\overrightarrow{\mathbf{r}}|:|\overrightarrow{\mathbf{b}}|:|\overrightarrow{\mathbf{c}}|\) is equal to
- \(\sqrt{34}: \sqrt{45}: \sqrt{39}\)
- \(\sqrt{34}: \sqrt{45}: 39\)
- \(34: 39: 45\)
- \(39: 35: 34\)
Answer
(B) 34 : 45 : 39
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