Prove the following vector identities using index notation

Last updated: 8/7/2022

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)