一題向量運算!

2012-04-29 9:01 pm
. => 代替內積符號
* =>代替外積符號
//=>代替絕對值
(B.C)(B.C)-(B.B)(C.C)=? ( - /B*C/^2


請給我詳細過程 答案已附上 感謝!

回答 (1)

2012-04-29 9:28 pm
✔ 最佳答案
(B.C)(B.C)-(B.B)(C.C)

= [|B||C|cosΘ]^2 - |B|^2 |C|^2

= |B|^2 |C|^2 [(cosΘ)^2 - 1]

= - |B|^2 |C|^2 [1 - (cosΘ)^2]

= - |B|^2 |C|^2 (sinΘ)^2

= - [|B| |C| (sinΘ)]^2

= - |B * C|^2




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