6.9 Use index notation to prove the following relations: 1. (a x b). (cx d) = (ac)(b.d) -(a.d)(c.b). 2. V. (V x a) = 0.
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6.9 Use index notation to prove the following relations: 1. (a x b). (cx d) = (ac)(b.d) -(a.d)(c.b). 2. V. (V x a) = 0.
6.9 Use index notation to prove the following relations: 1. (a x b). (cx d) = (ac)(b.d) -(a.d)(c.b). 2. V. (V x a) = 0. 3. V x (Vº) = 0. 4. a. (6 x c) = (a x b). c. 5. V x (x a) – V(V.a) - v'a. 6. V x (a) = OV xa+Vo xa. 7. (a xb) (exd) = (a (ex d)] 6-16-(cx d)a. 8. axb.c=a.6 x c) = cxa.b. 9. ax (bxc) + (a x b) x c.