Let a = i + j - k and c = 2 i - 3 j + 2 k . then the number of vectors b such that b c = a and | b | 1, 2, _____, 10 is :

JEE Main 2022 Mathematics question

Let and . then the number of vectors such that and {1, 2, , 10} is :

Answer: (1)

If , then is perpendicular to , i.e. . But

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Question ID VK-034610