Unit vector perpendicular to the plane of the triangle ABC with pv’s a , ~b , c of the…

Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry

1. \(\frac{(\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}}+\overrightarrow{\mathrm{c}} \times \overrightarrow{\mathrm{a}})}{\Delta}\)
2. \(\frac{(\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}}+\overrightarrow{\mathrm{c}} \times \overrightarrow{\mathrm{a}})}{2 \Delta}\)
3. \(\frac{(\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}}+\overrightarrow{\mathrm{c}} \times \overrightarrow{\mathrm{a}})}{4 \Delta}\)
4. none

Answer

(B) ( a b + b c + c a ) 2

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