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3. 证明 向量积的分配律 :

3. 证明 向量积的分配律 :. ( a + b )  c =( a  c )+( b  c ). a 2. 引理. 将向量 a 一投一转（转 90 0 ），. 得 a 2. c. 引入 . 证明. 两矢方向 :. 一致 ；. | a 2 | = | a 1 |. a. c 0. 证毕. . a 2. ( a + b )  c =( a  c )+( b  c ). 3. 证明 向量积的分配律 :. 将平行四边形一投一转. c. a+b. b. 由向量和的平行四边形法则，. c 0.

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3. 证明 向量积的分配律 :

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  1. 3.证明向量积的分配律: (a+b)c=(a c)+(b c) a2 引理 将向量a一投一转（转900）， 得a2 c 引入 证明 两矢方向: 一致； |a2|= |a1| a c0 证毕  a2

  2. . (a+b)c=(a c)+(b c) 3.证明向量积的分配律: 将平行四边形一投一转 c a+b b 由向量和的平行四边形法则， c0 (a+b)c=(a c)+(b c) 得证 a ac . bc (a+b)c

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