Let r =( a b ) x+( b c ) y+2[ c a ] where a , b , c are three non-coplanar vectors. If r…
Mathematics · JEE Main · NTA Exams — Vector Algebra
Let \(\vec{r}=(\vec{a} \times \vec{b}) \sin x+(\vec{b} \times \vec{c}) \cos y+2[\vec{c} \times \vec{a}]\) where \(\vec{a}, \vec{b}, \vec{c}\) are three non-coplanar vectors. If \(\overrightarrow{\mathrm{r}}\) is perpendicular to \(\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}+\overrightarrow{\mathbf{c}}\), then minimum value of \(x^{2}+y^{2}\) is :
- \(\frac{\pi^{2}}{4}\)
- \(\pi^{2}\)
- \(\frac{5 \pi^{2}}{4}\)
- None of these
Answer
(C) 5 ^ 2 4
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