{"id":2186,"date":"2019-12-07T05:43:19","date_gmt":"2019-12-06T21:43:19","guid":{"rendered":"https:\/\/www.clonefactor.com\/wordpress\/?p=2186"},"modified":"2020-08-08T15:04:02","modified_gmt":"2020-08-08T07:04:02","slug":"%e6%8e%83%e7%9b%b2%e7%b3%bb%e5%88%97-vector-%e7%9f%a2%e9%87%8f","status":"publish","type":"post","link":"https:\/\/www.clonefactor.com\/wordpress\/program\/math\/2186\/","title":{"rendered":"\u6383\u76f2\u7cfb\u5217 : Vector \u77e2\u91cf"},"content":{"rendered":"\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Vectors | Chapter 1, Essence of linear algebra\" width=\"1260\" height=\"709\" src=\"https:\/\/www.youtube.com\/embed\/fNk_zzaMoSs?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u904a\u6232\u4e2d\u8a08\u7b97\u5169\u9ede\u8ddd\u96e2\u662f\u8e0f\u5165\u4e09\u7dad\u904a\u6232\u5236\u4f5c\u7684\u57fa\u790e\u4e4b\u4e00<br>\u9019\u908a\u4f86\u8a0e\u8ad6\u4e00\u4e0b\u904a\u6232\u7528\u9019\u4e9b\u53ef\u4ee5\u7528\u4f86\u5e79\u751a\u9ebc.<br>\u521d\u8e0f\u5165\u904a\u6232\u88fd\u4f5c\u7684\u7a0b\u5e8f\u54e1, \u5982\u679c\u6c92\u6709\u6578\u5b78\u57fa\u790e\u61c9\u8a72\u6703\u7cfe\u7d50\u65bc Vector3 \u9019\u500b\u4e09\u7dad\u7cfb\u7d71\u6240\u4ee3\u8868\u7684\u610f\u601d.<br>\u9019\u908a\u7c21\u4ecb\u4e00\u4e0b.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>\u4ee3\u8868\u7a7a\u9593 Space<ul><li>\u4e16\u754c\u5750\u6a19 World Space<br>\u4ee3\u8868\u6574\u500b\u904a\u6232\u4e16\u754c\u7684\u65b9\u4f4d, e.g. X = \u6771\u897f, Y = \u4e0a\u4e0b, Z = \u5357\u5317<\/li><li>\u500b\u4eba\u7a7a\u9593 Local Space<br>\u4ee3\u8868\u9019\u500b \u201c\u7269\u4ef6\u201d, e.g. \u73a9\u5bb6\u7684 offset, X = \u5de6\u53f3, Y = \u4e0a\u4e0b, Z = \u524d\u5f8c.<\/li><\/ul><\/li><li>\u5169\u9ede\u4e4b\u9593\u7684\u8ddd\u96e2 Distance<br>e.g. (<a href=\"https:\/\/docs.unity3d.com\/ScriptReference\/Vector3.Distance.html\" target=\"_blank\" rel=\"noreferrer noopener\">Vector3.Distance<\/a>,&nbsp;<a href=\"https:\/\/docs.unity3d.com\/ScriptReference\/Vector3-magnitude.html\">Vector3.<\/a><a href=\"https:\/\/docs.unity3d.com\/ScriptReference\/Vector3-magnitude.html\" target=\"_blank\" rel=\"noreferrer noopener\">m<\/a><a href=\"https:\/\/docs.unity3d.com\/ScriptReference\/Vector3-magnitude.html\">agnitude<\/a>)<\/li><li>\u6bd4\u55bb\u70ba\u4e00\u500b\u65b9\u5411 Direction<br>\u6240\u6709\u7684\u65b9\u5411\u4e5f\u662f\u5047\u8a2d\u4ee5 (0,0,0) \u70ba\u4e2d\u5fc3, \u4ee5 Local space \u7684\u6982\u5ff5\u4f86\u6295\u5c04\u51fa\u4e00\u500b\u65b9\u5411.<br>e.g. Vector3(0,0,1) \u5c31\u662f\u7531 (0,0,0) \u6307\u5411 (0,0,1) \u5373\u662f\u6b63\u524d\u65b9\u7684\u6307\u5411.<br>e.g. Vector3(0.5f, 0f, 0.5f) \u5c31\u662f\u7531 (0,0,0) \u6307\u5411 (0.5, 0, 0) \u4ea6\u5373\u662f\u524d\u65b9\u504f\u53f3\u7684\u6307\u5411.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u66f4\u591a\u7684\u89e3\u91cb\u6216\u6982\u5ff5\u672a\u80fd\u4e00\u4e00\u89e3\u91cb, \u6709\u8208\u8da3\u53ef\u4ee5\u81ea\u884c\u63a2\u7d22<a href=\"https:\/\/en.wikipedia.org\/wiki\/Vector_(mathematics_and_physics)\">&nbsp;Wiki<\/a><a href=\"https:\/\/en.wikipedia.org\/wiki\/Vector_(mathematics_and_physics)\" target=\"_blank\" rel=\"noreferrer noopener\">(Vector)<\/a><br>Unity3D \u5b98\u7db2\u7684 API&nbsp;<a href=\"https:\/\/docs.unity3d.com\/ScriptReference\/Vector3.html\">https:\/\/docs.unity3d.com\/ScriptReference\/Vector3.html<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7528\u4f5c\u7a7a\u9593\u8a18\u9304\u6642<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Vector2 \u7531 2 \u500b float \u7d44\u6210\u53ef\u4ee5\u770b\u5f85\u70ba X, Y \u8ef8.<br>Vector3 \u7531 3 \u500b float \u7d44\u6210\u53ef\u4ee5\u770b\u5f85\u70ba X, Y, Z \u8ef8.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7528\u4f5c\u7a7a\u9593\u6642\u9700\u8981\u7559\u610f\u662f\u4ee3\u8868\u90a3\u4e00\u7a2e\u7a7a\u9593.<br>\u4e16\u754c\u5750\u6a19 World Space \u2013 \u5c31\u662f\u4f60\u7684\u904a\u6232\u4e16\u754c\u4e0a\u7684\u7d55\u5c0d\u5750\u6a19 absolution position \u9019\u500b\u6c92\u6709\u751a\u9ebc\u597d\u722d\u8b70\u7684.<br>\u5982\u679c\u662f\u5b50\u7a7a\u9593 Local Space \u2013 \u4ee3\u8868\u7684\u53ef\u4ee5\u662f\u57fa\u65bc\u4efb\u4f55\u4e00\u4ef6\u7269\u4ef6 gameobject \u7684\u5b50\u7a7a\u9593, \u7559\u610f\u5b50\u9593\u7a7a\u662f\u9700\u8981\u8003\u616e\u7576\u524d\u7269\u4ef6\u7684\u8f49\u5411 Rotation \u7684,<br>e.g. \u7269\u4ef6\u9762\u5411\u5929\u7a7a\u6642, \u6b63\u524d\u65b9\u5c31\u662f\u5929\u7a7a.<br>\u9019\u500b\u5f9e\u8a08\u7b97\u4e0a\u53ef\u4ee5\u9ad4\u73fe\u51fa\u4f86.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7528\u4f5c\u65b9\u5411\u8a18\u9304\u6642<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Vector2 \u5047\u5b9a\u7531 X=0f, Y= 0f \u7684\u4f4d\u7f6e\u756b\u4e00\u689d\u76f4\u7dda\u5230\u5750\u6a19.<br>e.g. { 1, 0 } \u5c31\u662f\u7531 { 0,0 } \u9023\u63a5\u5230 {1, 0} \u6c34\u5e73\u65bc X \u8ef8\u4e14\u8ddd\u96e2\u70ba 1 \u7684\u6a6b\u7dda.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Vector3 \u5047\u5b9a\u7531 X=0f, Y=0f, Z=0f \u7684\u4f4d\u7f6e\u756b\u4e00\u689d\u76f4\u7dda\u5230\u5750\u6a19.<br>e.g. { 0, 1, 0 } \u5c31\u662f\u7531 {0,0,0} \u5782\u76f4\u65bc Y \u8ef8\u4e14\u8ddd\u96e2\u70ba 1 \u7684\u76f4\u7dda.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u65b9\u5411\u8ddf\u5750\u6a19\u7d93\u5e38\u6703\u6df7\u5728\u4e00\u8d77\u4f7f\u7528\u6240\u4ee5\u7de8\u7a0b\u6642\u9019\u4e9b Vector \u7684\u4ee3\u8868\u9700\u8981\u597d\u597d\u6a19\u793a\u624d\u80fd\u907f\u514d\u6df7\u6dc6<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u53d6\u5f97 Vector \u7684\u8ddd\u96e2<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 Unity3D \u4e2d\u6709 API \u53d6\u5f97\u4e00\u652f Vector \u7684\u8ddd\u96e2.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/docs.unity3d.com\/ScriptReference\/Vector3.html\">Vector3.Distance(MyVector);<\/a><\/li><li><a href=\"https:\/\/docs.unity3d.com\/ScriptReference\/Vector3.html\">MyVector.magnitude;<\/a><\/li><\/ul>\n\n\n\n<hr class=\"wp-block-separator is-style-wide\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e00\u822c\u7684\u61c9\u7528\u4f8b\u5b50 \u2013 [\u65b9\u5411, \u901f\u5ea6]<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9019\u500b\u8ddd\u96e2\u4e5f\u53ef\u4ee5\u8207\u6642\u9593\u4e00\u8d77\u904b\u7b97\u4e26\u53d6\u5f97\u8a72\u65b9\u5411\u4e4b\u901f\u5ea6\u7b49\u4f7f\u7528.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>\u4e0a\u4e00\u5e40\u7684 GameObject \u4f4d\u7f6e \u8ddf \u89d2\u5ea6<\/li><li>\u73fe\u5728\u7684 GameObject \u4f4d\u7f6e \u8ddf \u89d2\u5ea6<\/li><li>\u6bcf\u6b21 Update() \u7cfb\u7d71\u7d66\u7684 Time.deltaTime<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u6709\u5e40\u8207\u5e40\u4e4b\u9593\u7684\u9ede\u5c31\u53ef\u4ee5\u9032\u884c vector \u904b\u7b97\u5f97\u5230\u77e2\u91cf \u53ca\u5176\u8ddd\u96e2, \u4e26\u4ee5\u4e4b\u5f97\u5230\u9019\u5e40\u7684\u901f\u5ea6\u2026etc<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">Vector3 lastFramePosition;\n\nvoid LateUpdate()\n{\n    lastFramePosition = transform.position;\n}\n\nvoid Update()\n{\n    float time = Time.deltaTime;\n    Vector3 v = transform.position - lastFramePosition;\n    float distance = v.magnitude; \/\/ to calculate the distance we moved.\n    \n    float speed = distance \/ time;\n}<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8ddd\u96e2, \u6642\u9593, \u901f\u5ea6\u7684\u95dc\u4fc2.<\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Velocity - speed, distance and time - math lesson\" width=\"1260\" height=\"709\" src=\"https:\/\/www.youtube.com\/embed\/lvekW79pJjk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e00\u822c\u7684\u61c9\u7528\u4f8b\u5b50 \u2013 [\u89d2\u5ea6]<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u89d2\u5ea6\u7684 API \u904b\u7b97.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/docs.unity3d.com\/ScriptReference\/Vector3.html\">Vector3.Angle<\/a><\/li><li><a href=\"https:\/\/docs.unity3d.com\/ScriptReference\/Vector3.html\">Vector3.SignedAngle<\/a><\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u7d93\u7531 Transfrom.forward \u5176\u5be6\u53ef\u4ee5\u5f88\u8f15\u6613\u7684\u7b97\u5230\u5169\u500b\u77e2\u91cf\u4e4b\u9593\u7684\u89d2\u5ea6,<br>\u7559\u610f\u7684\u662f\u9019\u90e8\u5206\u4e0d\u5305\u62ec\u8ddd\u96e2\u7684\u8cc7\u6e90.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5\u4e0a\u5c31\u662f\u4e00\u822c\u7684\u61f6\u4eba\u5305, \u5176\u4ed6\u7684\u5c0f\u5f1f\u6bd4\u8f03\u61f6\u6709\u4eba\u554f\u624d\u518d\u88dc\u5b8c\u2026.. \u9084\u662f\u90a3\u53e5\u770b document \u9577\u667a\u8b58.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u904a\u6232\u4e2d\u8a08\u7b97\u5169\u9ede\u8ddd\u96e2\u662f\u8e0f\u5165\u4e09\u7dad\u904a\u6232\u5236\u4f5c\u7684\u57fa\u790e\u4e4b\u4e00\u9019\u908a\u4f86\u8a0e\u8ad6\u4e00\u4e0b\u904a\u6232\u7528\u9019\u4e9b\u53ef\u4ee5\u7528\u4f86\u5e79\u751a\u9ebc.\u521d\u8e0f\u5165\u904a\u6232\u88fd &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[78,109],"tags":[],"class_list":["post-2186","post","type-post","status-publish","format-standard","hentry","category-math","category-vector"],"_links":{"self":[{"href":"https:\/\/www.clonefactor.com\/wordpress\/wp-json\/wp\/v2\/posts\/2186","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.clonefactor.com\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.clonefactor.com\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.clonefactor.com\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.clonefactor.com\/wordpress\/wp-json\/wp\/v2\/comments?post=2186"}],"version-history":[{"count":8,"href":"https:\/\/www.clonefactor.com\/wordpress\/wp-json\/wp\/v2\/posts\/2186\/revisions"}],"predecessor-version":[{"id":2321,"href":"https:\/\/www.clonefactor.com\/wordpress\/wp-json\/wp\/v2\/posts\/2186\/revisions\/2321"}],"wp:attachment":[{"href":"https:\/\/www.clonefactor.com\/wordpress\/wp-json\/wp\/v2\/media?parent=2186"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.clonefactor.com\/wordpress\/wp-json\/wp\/v2\/categories?post=2186"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.clonefactor.com\/wordpress\/wp-json\/wp\/v2\/tags?post=2186"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}