{"id":1029,"date":"2019-05-29T12:38:34","date_gmt":"2019-05-29T16:38:34","guid":{"rendered":"http:\/\/josmfs.net\/?p=1029"},"modified":"2019-05-29T12:38:34","modified_gmt":"2019-05-29T16:38:34","slug":"vector-sum-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/05\/29\/vector-sum-problem\/","title":{"rendered":"Vector Sum Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1028\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Vector-Sum-Sum-Prob-Fig.jpg\" alt=\"\" width=\"200\" height=\"200\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Vector-Sum-Sum-Prob-Fig.jpg 200w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Vector-Sum-Sum-Prob-Fig-150x150.jpg 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is a fun problem from <em>Mathematical Quickies<\/em> (1967).<\/p>\n<p>\u201cProve that the sum of the vectors from the center of a regular polygon of n sides to its vertices is zero.\u201d<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Vector-Sum-Problem-190307.pdf\">Vector Sum Problem<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a fun problem from Mathematical Quickies (1967). \u201cProve that the sum of the vectors from the center of a regular polygon of n sides to its vertices is zero.\u201d See the Vector Sum Problem.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[13,31],"class_list":["post-1029","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-plane-geometry","tag-vectors"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1029","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=1029"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1029\/revisions"}],"predecessor-version":[{"id":1030,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1029\/revisions\/1030"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1029"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1029"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1029"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}