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Consider 3 non-zero vectors a → , b → and c → such that a → ⋅ c → ≠ 0 . If a vector r → satisfies the relation r → × a → = b → × a → and r → ⋅ c → = 0 , then a → ⋅ c → r → × b → + b → ⋅ c → a → × r → is equal to

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Step-by-step solution

Given, r → × a → = b → × a → ⇒ r → - b → × a → = 0 ⇒ r → - b → = λ a → ⇒ r → = b → + λ a → ∴ r → ⋅ c → = c → ⋅ b → + λ a → ⋅ c → = 0 ⇒ λ = - b → ⋅ c → a → ⋅ c → … … . . i r → × b → = b → + λ a → × b → = λ a → × b &

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