is prependicular to DB then ( BD AC ) ( OD OC ) is :

Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry

is prependicular to \(\overrightarrow{\mathrm{DB}} \text { then }(\overrightarrow{\mathrm{BD}} \times \overrightarrow{\mathrm{AC}}) \cdot(\overrightarrow{\mathrm{OD}} \times \overrightarrow{\mathrm{OC}}) \text { is : }\)

1. \(7|\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}|^{2}\)
2. \(42|\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}|^{2}\)
3. 0
4. none of these

Answer

(A) 7| a b |^ 2, (B) 42| a b |^ 2, (C) 0

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