Let a = - i - k, b = - i + j and c = i + 2 j + 3 k be three given vectors. If r is a vector such that r b = c b and r a = 0, then the value of r b is

JEE Advanced 2011 Mathematics question

Let , and be three given vectors. If is a vector such that and , then the value of is

Answer: 9

. Then $ r· a = c· a + λ

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Question ID VK-026000