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in Vector algebra by (36.3k points)

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

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We have,

r × b = c × b

Thus, r.b = 3 + 6 + 0 = 9.

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