{"id":842,"date":"2010-01-01T10:42:52","date_gmt":"2010-01-01T02:42:52","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=842"},"modified":"2021-10-06T16:33:23","modified_gmt":"2021-10-06T08:33:23","slug":"%e4%bd%8d%e7%bd%ae%e5%90%91%e9%87%8f%ef%bc%88position-vector%ef%bc%89-%e5%9c%8b%e7%ab%8b%e5%bd%b0%e5%8c%96%e5%b8%ab%e7%af%84%e5%a4%a7%e5%ad%b8%e7%89%a9%e7%90%86%e5%ad%b8%e7%b3%bb%e6%b4%aa%e9%80%a3","status":"publish","type":"post","link":"http:\/\/localhost\/%e4%bd%8d%e7%bd%ae%e5%90%91%e9%87%8f%ef%bc%88position-vector%ef%bc%89-%e5%9c%8b%e7%ab%8b%e5%bd%b0%e5%8c%96%e5%b8%ab%e7%af%84%e5%a4%a7%e5%ad%b8%e7%89%a9%e7%90%86%e5%ad%b8%e7%b3%bb%e6%b4%aa%e9%80%a3\/","title":{"rendered":"\u4f4d\u7f6e\u5411\u91cf\uff08Position Vector\uff09"},"content":{"rendered":"<div class=\"pf-content\"><p><span style=\"color: #ff6600;\"><strong>\u4f4d\u7f6e\u5411\u91cf\uff08Position Vector\uff09<br \/>\n<span style=\"color: #008000;\">\u53f0\u5317\u5e02\u7acb\u7b2c\u4e00\u5973\u5b50\u9ad8\u7d1a\u4e2d\u5b78\u5f35\u6e05\u4fca\u8001\u5e2b\/\u570b\u7acb\u5f70\u5316\u5e2b\u7bc4\u5927\u5b78\u7269\u7406\u5b78\u7cfb\u6d2a\u9023\u8f1d\u6559\u6388\u8cac\u4efb\u7de8\u8f2f<\/span><\/strong><\/span><\/p>\n<p>\u5728\u63cf\u8ff0\u7a7a\u9593\u4e2d\u4e00\u500b\u7269\u9ad4\u7684\u4f4d\u7f6e\u6642\uff0c\u5fc5\u5b9a\u662f\u5728\u67d0\u500b\u5750\u6a19\u7cfb\u7d71\u5167\u76f8\u5c0d\u65bc\u5176\u5750\u6a19\u539f\u9ede\u800c\u8a00\uff0c\u7531\u65bc\u63cf\u8ff0\u4f4d\u7f6e\u6642\u4e0d\u4f46\u9700\u8981\u8aaa\u660e\u76f8\u5c0d\u65bc\u539f\u9ede\u7684\u9060\u8fd1\u8ddd\u96e2\u91cf\u503c\uff0c\u540c\u6642\u4e5f\u9700\u8981\u8aaa\u660e\u76f8\u5c0d\u65bc\u539f\u9ede\u7684\u65b9\u5411\uff0c\u56e0\u6b64\u63cf\u8ff0\u7269\u9ad4\u4f4d\u7f6e\u7684\u9019\u500b\u7269\u7406\u91cf\u4e5f\u7a31\u70ba\u4f4d\u7f6e\u5411\u91cf\uff0c\u4e00\u822c\u4ee5\u7b26\u865f $$\\vec{x}$$ \u6216 $$\\vec{r}$$\u00a0\u8868\u793a\u3002<\/p>\n<p><!--more--><\/p>\n<p>\u96a8\u8457\u7a7a\u9593\u7dad\u5ea6\u7684\u4e0d\u540c\uff0c\u4e00\u500b\u4f4d\u7f6e\u5411\u91cf\u53ef\u80fd\u5305\u542b $$1$$ \u500b\u3001$$2$$ \u500b\u3001$$3$$ \u500b\uff0c\u751a\u81f3\u662f $$N$$ \u500b\u5206\u91cf\uff0c\u4f8b\u5982\u5728\u76f4\u7dda\u5750\u6a19\u7cfb\u7d71\u4e2d\uff0c\u53ea\u8981\u7528 $$\\vec{x}=-3~m$$ \u5c31\u53ef\u4ee5\u63cf\u8ff0\u4f4d\u65bc\u539f\u9ede\u5de6\u65b9\uff08\u5b9a\u7fa9\u5411\u53f3\u70ba\u6b63\uff09$$3$$ \u516c\u5c3a\u8655\u67d0\u7269\u9ad4\u7684\u4f4d\u7f6e\uff1b\u4f46\u662f\u5728\u7acb\u9ad4\u7a7a\u9593\u4e2d\u5247\u9700\u8981 $$\\vec{x}=1~m$$\u3001$$\\vec{y}=2~m$$\u3001$$\\vec{z}=3~m$$ \u6216\u7c21\u5beb $$\\vec{r}=(1~m,2~m,3~m)$$ \u9019\u6a23\u7684\u8868\u793a\u624d\u80fd\u660e\u78ba\u6307\u51fa\u67d0\u7269\u9ad4\u7684\u4f4d\u7f6e\u3002<\/p>\n<p>\u5728\u7269\u7406\u5b78\u4e2d\u4f4d\u7f6e\u5411\u91cf\u81f3\u5c11\u6709\u4ee5\u4e0b\u5169\u7a2e\u529f\u7528\uff1a\u63cf\u8ff0\u7269\u9ad4\u7684\u4f4d\u79fb\uff0c\u4ee5\u53ca\u63cf\u8ff0\u7269\u9ad4\u7684\u904b\u52d5\u8ecc\u8de1\u3002\u6bd4\u8f03\u7269\u9ad4\u524d\u5f8c\u7684\u4f4d\u7f6e\u5411\u91cf\uff0c\u5176\u5dee\u503c\u5373\u70ba\u4f4d\u79fb\uff0c\u4f8b\u5982\u7269\u9ad4\u81ea\u4f4d\u7f6e $$(5,0,2)$$ \u79fb\u52d5\u81f3 $$(6,3,1)$$\uff0c\u5247 $$(6,3,1)-(5,0,2)=(1,3,-1)$$ 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