JEE Main 202227 Jun, Morning shiftMathematicsMediumVector Algebra184× since 2002Let a→=i^+j^−k^\overrightarrow a = \widehat i + \widehat j - \widehat ka=i+j−k and c→=2i^−3j^+2k^\overrightarrow c = 2\widehat i - 3\widehat j + 2\widehat kc=2i−3j+2k. Then the number of vectors b→\overrightarrow bb such that b→×c→=a→\overrightarrow b \times \overrightarrow c = \overrightarrow ab×c=a and ∣b→∣∈|\overrightarrow b | \in∣b∣∈ {1, 2, ........, 10} is :AOption A. 0BOption B. 1COption C. 2DOption D. 3CheckSkip · show solution