JEE Main 202125 Feb, Morning shiftMathematicsHardVector Algebra184× since 2002Let a→=i^+2j^−k^\overrightarrow a = \widehat i + 2\widehat j - \widehat ka=i+2j−k, b→=i^−j^\overrightarrow b = \widehat i - \widehat jb=i−j and c→=i^−j^−k^\overrightarrow c = \widehat i - \widehat j - \widehat kc=i−j−k be three given vectors. If r→\overrightarrow rr is a vector such that r→×a→=c→×a→\overrightarrow r \times \overrightarrow a = \overrightarrow c \times \overrightarrow ar×a=c×a and r→. b→=0\overrightarrow r .\,\overrightarrow b = 0r.b=0, then r→. a→\overrightarrow r .\,\overrightarrow ar.a is equal to __________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
