MathematicsMedium202×since 2002Q5807Let a→=3i^+2j^+2k^\overrightarrow a = 3\widehat i + 2\widehat j + 2\widehat ka=3i+2j+2k and b→=i^+2j^−2k^\overrightarrow b = \widehat i + 2\widehat j - 2\widehat kb=i+2j−2k be two vectors. If a vector perpendicular to both the vectors a→+b→\overrightarrow a + \overrightarrow ba+b and a→−b→\overrightarrow a - \overrightarrow ba−b has the magnitude 12 then one such vector is :A4(2i^−2j^−k^)4\left( {2\widehat i - 2\widehat j - \widehat k} \right)4(2i−2j−k)B4(−2i^−2j^+k^)4\left( { - 2\widehat i - 2\widehat j + \widehat k} \right)4(−2i−2j+k)C4(2i^+2j^+k^)4\left( {2\widehat i + 2\widehat j + \widehat k} \right)4(2i+2j+k)D4(2i^+2j^−k^)4\left( {2\widehat i + 2\widehat j - \widehat k} \right)4(2i+2j−k)Check answerSkip