MathematicsMedium202×since 2002Q5810Let a→=i^+2j^+4k^,\overrightarrow a = \widehat i + 2\widehat j + 4\widehat k,a=i+2j+4k, b→=i^+λj^+4k^\overrightarrow b = \widehat i + \lambda \widehat j + 4\widehat kb=i+λj+4k and c→=2i^+4j^+(λ2−1)k^\overrightarrow c = 2\widehat i + 4\widehat j + \left( {{\lambda ^2} - 1} \right)\widehat kc=2i+4j+(λ2−1)k be coplanar vectors. Then the non-zero vector a→×c→\overrightarrow a \times \overrightarrow ca×c is :A−10i^−5j^- 10\widehat i - 5\widehat j−10i−5jB−10i^+5j^- 10\widehat i + 5\widehat j−10i+5jC−14i^+5j^- 14\widehat i + 5\widehat j−14i+5jD−14i^−5j^- 14\widehat i - 5\widehat j−14i−5jCheck answerSkip