For any vectors a , ; | a × b | 2 + ( a . b ) 2 is equal to

Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry

For any vectors \(\overrightarrow{\mathrm{a}}\), ; |\(\overrightarrow{\mathrm{a}}\) × \(\overrightarrow{\mathrm{b}}\)|² + (\(\overrightarrow{\mathrm{a}}\).\(\overrightarrow{\mathrm{b}}\))² is equal to

1. \(|\overline{\mathrm{a}}|^{2}|\overline{\mathrm{~b}}|^{2}\)
2. \(\overrightarrow{\mathrm{a}}\)² + \(\overrightarrow{\mathrm{b}}\)²
3. \(\overrightarrow{\mathrm{a}}\)² – \(\overrightarrow{\mathrm{b}}\)²
4. 0

Answer

(A) | a |^ 2 | ~b |^ 2

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