JEE Advanced 2021 Paper 2 Mathematics Q5

Mathematics

Problem

Let O be the origin, OA=2î+2ĵ+k^\hat{k}, OB=î−2ĵ+2k^\hat{k} and OC=(OB−λOA)/2 for λ>0. If |OB×OC|=9/2, which statements are true?

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