鍙夌Н鍏紡錛歶 x v = { u2v3-v2u3 , u3v1-v3u1 , u1v2-u2v1 }
鐐圭Н鍏紡錛歶 * v = u1v1+u2v2+u3v33=lul*lvl*COS(U,V)
瀵逛簬鍚戦噺鐨勮繍綆楋紝榪樻湁涓や釜“涔樻硶”錛岄偅灝辨槸鐐逛箻鍜屽弶涔樹簡銆傜偣涔樼殑緇撴灉灝辨槸涓や釜鍚戦噺鐨勬ā鐩鎬箻錛岀劧鍚庡啀涓庤繖涓や釜鍚戦噺鐨勫す瑙掔殑浣欏雞鍊肩浉涔樸傛垨鑰呰鏄袱涓悜閲忕殑鍚勪釜鍒嗛噺鍒嗗埆鐩鎬箻鐨勭粨鏋滅殑鍜屻傚緢鏄庢樉錛岀偣涔樼殑緇撴灉灝辨槸涓涓暟錛岃繖涓暟瀵規垜浠垎鏋愯繖涓や釜鍚戦噺鐨勭壒鐐瑰緢鏈夊府鍔┿?strong>濡傛灉鐐逛箻鐨勭粨鏋滀負0錛岄偅涔堣繖涓や釜鍚戦噺浜掔浉鍨傜洿錛涘鏋滅粨鏋滃ぇ浜?錛岄偅涔堣繖涓や釜鍚戦噺鐨勫す瑙掑皬浜?0搴︼紱濡傛灉緇撴灉灝忎簬0錛岄偅涔堣繖涓や釜鍚戦噺鐨勫す瑙掑ぇ浜?0搴︺?/font>瀵逛簬鍙変箻錛屽畠鐨勮繍綆楀叕寮忎護浜哄ご鏅曪紝鎴戝氨涓嶈浜嗭紝澶у鐪嬩笅闈㈢殑鍏紡鑷繁棰嗘偀鍚?#8230;…
鍚戦噺c鐨勬柟鍚戜笌a,b鎵鍦ㄧ殑騫抽潰鍨傜洿錛屼笖鏂瑰悜瑕佺敤“鍙蟲墜娉曞垯”鍒ゆ柇錛堢敤鍙蟲墜鐨勫洓鎸囧厛琛ㄧず鍚戦噺a鐨勬柟鍚戯紝鐒跺悗鎵嬫寚鏈濈潃鎵嬪績鐨勬柟鍚戞憜鍔ㄥ埌鍚戦噺b鐨勬柟鍚戯紝澶ф媷鎸囨墍鎸囩殑鏂瑰悜灝辨槸鍚戦噺c鐨勬柟鍚戯級銆?
鑻ュ悜閲廰=(a1,b1,c1)錛屽悜閲廱=(a2,b2,c2)錛?
鍒?
鍚戦噺a·鍚戦噺b=a1a2+b1b2+c1c2
鍚戦噺a×鍚戦噺b=
| i j k|
|a1 b1 c1|
|a2 b2 c2|
=(b1c2-b2c1,c1a2-a1c2,a1b2-a2b1)
錛坕銆乯銆乲鍒嗗埆涓虹┖闂翠腑鐩鎬簰鍨傜洿鐨勪笁鏉″潗鏍囪醬鐨勫崟浣嶅悜閲忥級銆?/p>
鍙変箻鐨勬剰涔夊氨鏄氳繃涓や釜鍚戦噺鏉ョ‘瀹氫竴涓柊鐨勫悜閲忥紝璇ュ悜閲忎笌鍓嶄袱涓悜閲忛兘鍨傜洿
榪欐槸鎴戦渶瑕佸悜閲忕殑鐐逛箻鍜屽弶涔樻椂鍦ㄧ綉涓婄湅鍒扮殑,灝辨嫹璐濆埌blog涓婂弬鑰冨蹇樹竴涓嬶紝褰撴椂娌℃湁璁板綍鍘熸枃鍦板潃錛屼笉濂芥剰鎬濓紝涓嬫杞澆浼氳創涓婂師鏂囧湴鍧鐨?..