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  3. prove the following vector identities using index

Prove the following vector identities using index notation(a) (axb) (cx d) = (a. c) (b....

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Prove the following vector identities using index notation(a) (axb) (cx d) = (a. c) (b. d) - (a.d) (b. c)(b) ax (bx c) + bx (cx a) + cx (axb) = 0(c) (a. ?)a= 1/2?(a.a) - ax (? xa)

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Transcribed Image Text

Prove the following vector identities using index notation(a) (axb) (cx d) = (a. c) (b. d) - (a.d) (b. c)(b) ax (bx c) + bx (cx a) + cx (axb) = 0(c) (a. ?)a= 1/2?(a.a) - ax (? xa)

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