JEE Main 202127 Jul, Evening shiftMathematicsHardVector Algebra184× since 2002Let a→=i^−αj^+βk^\overrightarrow a = \widehat i - \alpha \widehat j + \beta \widehat ka=i−αj+βk, b→=3i^+βj^−αk^\overrightarrow b = 3\widehat i + \beta \widehat j - \alpha \widehat kb=3i+βj−αk and c→=−αi^−2j^+k^\overrightarrow c = -\alpha \widehat i - 2\widehat j + \widehat kc=−αi−2j+k, where α\alphaα and β\betaβ are integers. If a→ . b→=−1\overrightarrow a \,.\,\overrightarrow b = - 1a.b=−1 and b→ . c→=10\overrightarrow b \,.\,\overrightarrow c = 10b.c=10, then (a→ ×b→). c→\left( {\overrightarrow a \, \times \overrightarrow b } \right).\,\overrightarrow c(a×b).c is equal to ___________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
