JEE Main 202225 Jun, Evening shiftMathematicsHardVector Algebra184× since 2002Let b→=i^+j^+λk^\overrightarrow b = \widehat i + \widehat j + \lambda \widehat kb=i+j+λk, λ\lambdaλ ∈\in∈ R. If a→\overrightarrow aa is a vector such that a→×b→=13i^−j^−4k^\overrightarrow a \times \overrightarrow b = 13\widehat i - \widehat j - 4\widehat ka×b=13i−j−4k and a→ . b→+21=0\overrightarrow a \,.\,\overrightarrow b + 21 = 0a.b+21=0, then (b→−a→). (k^−j^)+(b→+a→). (i^−k^)\left( {\overrightarrow b - \overrightarrow a } \right).\,\left( {\widehat k - \widehat j} \right) + \left( {\overrightarrow b + \overrightarrow a } \right).\,\left( {\widehat i - \widehat k} \right)(b−a).(k−j)+(b+a).(i−k) is equal to _____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
