{"id":14410,"date":"2025-12-24T17:22:58","date_gmt":"2025-12-24T08:22:58","guid":{"rendered":"https:\/\/math-travel.com\/?p=14410"},"modified":"2026-03-06T01:07:55","modified_gmt":"2026-03-05T16:07:55","slug":"vector-component","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-b\/vector-component\/","title":{"rendered":"\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u3068\u6c42\u3081\u65b9\uff1a\u5ea7\u6a19\u3068\u306e\u9055\u3044\u3068\u5927\u304d\u3055\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u89e3\u8aac"},"content":{"rendered":"\n
\u4eca\u56de\u89e3\u6c7a\u3059\u308b\u60a9\u307f<\/span><\/div>
\n

\u300c\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u3063\u3066\u306a\u306b\uff1f\u300d
\u300c\u6210\u5206\u8868\u793a\u306f\u3069\u3046\u3084\u3063\u3066\u6c42\u3081\u308b\u306e\uff1f\u300d<\/p>\n<\/div><\/div>\n\n\n\n

\u4eca\u56de\u306f\u6570\u5b66B\u306e\u30d9\u30af\u30c8\u30eb\u304b\u3089\u300c\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u300d<\/span>\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306b\u306f\u6210\u5206\u304c\u3042\u308a\u3001\u59cb\u70b9\u3068\u7d42\u70b9\u306e\u5dee\u304c\u305d\u306e\u307e\u307e\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u6210\u5206\u8868\u793a\u306e\u8868\u3057\u65b9<\/span><\/div>
\n

\"\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u3068\u306f\u2460\"<\/p>\n\n\n\n

\\(\\vec{a}\\)=\uff08x\u8ef8\u65b9\u5411\u306b\u9032\u3093\u3060\u8ddd\u96e2,y\u8ef8\u65b9\u5411\u306b\u9032\u3093\u3060\u8ddd\u96e2\uff09<\/p>\n<\/div><\/div>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u91cd\u8981\u516c\u5f0f\u306b\u306f\u6210\u5206\u8868\u793a\u3092\u6d3b\u7528\u3059\u308b\u3082\u306e\u304c\u591a\u3044<\/span>\u305f\u3081\u3001\u4eca\u56de\u3067\u5fc5\u305a\u7406\u89e3\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\u672c\u8a18\u4e8b\u3067\u306f\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u306e\u6c42\u3081\u65b9\u306b\u3064\u3044\u3066\u89e3\u8aac<\/span>\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

\u307e\u305f\u3001\u8a18\u4e8b\u4e0b\u3067\u306f\u30d9\u30af\u30c8\u30eb\u306e\u91cd\u8981\u516c\u5f0f<\/span>\u306b\u3064\u3044\u3066\u3082\u8aac\u660e\u3057\u3066\u3044\u308b\u306e\u3067\u3001\u5408\u308f\u305b\u3066\u53c2\u8003\u306b\u3057\u3066\u3044\u305f\u3060\u3051\u308c\u3070\u3068\u601d\u3044\u307e\u3059\uff01<\/p>\n\n\n\n

\u305d\u308c\u3067\u306f\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u3068\u306f\uff1f<\/h2>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u306e\u524d\u306b\u3001\u307e\u305a\u300c\u30d9\u30af\u30c8\u30eb\u3068\u306f\u4f55\u304b\uff1f\u300d\u3092\u5fa9\u7fd2\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u3068\u306f\u300c\u5927\u304d\u3055\u300d\u3068\u300c\u5411\u304d\u300d<\/span>\u3092\u6301\u3063\u305f\u77e2\u5370\u3067\u3059\u3002<\/p>\n\n\n\n

\u305d\u3057\u3066\u3001\u305d\u306e\u30d9\u30af\u30c8\u30eb\u304c\u3069\u3063\u3061\u306e\u5411\u304d\u306b\u3001\u3069\u306e\u304f\u3089\u3044\u306e\u5927\u304d\u3055\u3092\u6301\u3063\u3066\u3044\u308b\u306e\u304b\u3092\u793a\u3059\u3068\u304d\u306b\u201c\u6210\u5206\u8868\u793a\u201d<\/span>\u3092\u4f7f\u3046\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u4f8b\u3048\u3070\u3001\u4e0b\u753b\u50cf\u306e\u30d9\u30af\u30c8\u30eb\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002
\uff08\u3053\u3053\u3067\u306f\u307e\u305a\u5206\u304b\u308a\u3084\u3059\u3044\u3088\u3046\u306b\u5ea7\u6a19\u5e73\u9762\u4e0a\u3067\u8003\u3048\u3066\u307f\u307e\u3059\uff09<\/p>\n\n\n\n

xy\u5e73\u9762\u4e0a\u306b\\(\\vec{a}\\)\u304c\u3042\u308a\u3001\u30d9\u30af\u30c8\u30eb\u306e\u59cb\u307e\u308a\u3092\u201c\u59cb\u70b9\u201d<\/span>\u3001\u7d42\u308f\u308a\u3092\u201c\u7d42\u70b9\u201d<\/span>\u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n

\n
\"\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u3068\u306f\u2461\"<\/figure>\n<\/div>\n\n\n

\u59cb\u70b9\u304b\u3089\u7d42\u70b9\u306b\u5411\u3051\u3066\u3001x\u8ef8\u65b9\u5411\u3001y\u8ef8\u65b9\u5411\u306b\u305d\u308c\u305e\u308c\u3069\u308c\u3060\u3051\u9032\u3093\u3060\u304b\u3092\u8003\u3048\u3001<\/p>\n\n\n\n

\u6210\u5206\u8868\u793a\u306e\u8868\u3057\u65b9<\/span><\/div>
\n

\\(\\vec{a}\\)=\uff08x\u8ef8\u65b9\u5411\u306b\u9032\u3093\u3060\u8ddd\u96e2,y\u8ef8\u65b9\u5411\u306b\u9032\u3093\u3060\u8ddd\u96e2\uff09<\/p>\n<\/div><\/div>\n\n\n\n

\u3068\u3044\u3046\u98a8\u306b\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n

\n
\"\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u3068\u306f\u2462\"<\/figure>\n<\/div>\n\n\n

\u753b\u50cf\u306e\\(\\vec{a}\\)\u306fx\u8ef8\u65b9\u5411\u306b\u9032\u3093\u3060\u8ddd\u96e2\u306f3\u3001y\u8ef8\u65b9\u5411\u306b\u9032\u3093\u3060\u8ddd\u96e2\u306f2\u3068\u306a\u308b\u305f\u3081\u3001<\/p>\n\n\n\n

\\[\\vec{a}=(3,2)\\]<\/p>\n\n\n\n

\u3068\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n

\u305f\u3060\u3057\u3001\u3053\u308c\u306f\u30d9\u30af\u30c8\u30eb\u306e\u52d5\u304d\u3092\u8868\u3057\u305f\u3060\u3051\u3067\u3001\u5ea7\u6a19\u3068\u306f\u7570\u306a\u308b\u306e\u3067\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u306e\u6c42\u3081\u65b9<\/h2>\n\n\n\n

\u3053\u3053\u3067\u306f\u3001\u4f8b\u984c\u3092\u4f7f\u3063\u3066\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u3092\u6c42\u3081\u3066\u307f\u307e\u3059\u3002<\/p>\n\n\n\n

\u5c11\u3057\u305a\u3064\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u306e\u3067\u300c\u96e3\u3057\u305d\u3046\u2026\u300d\u3068\u611f\u3058\u3066\u3044\u308b\u65b9\u3082\u5b89\u5fc3\u3057\u3066\u304f\u3060\u3055\u3044\u306d\uff01<\/p>\n\n\n\n

\u5e73\u9762\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206<\/h3>\n\n\n\n

\u307e\u305a\u306f\u3001\u5e73\u9762\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u3067\u3059\u3002
\u5e73\u9762\u30d9\u30af\u30c8\u30eb\u3068\u306f\u30012\u3064\u306e\u6210\u5206\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3082\u306e<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n

\u5148\u307b\u3069\u89e3\u8aac\u3057\u305f\u3082\u306e\u3082\u3001\u5e73\u9762\u30d9\u30af\u30c8\u30eb\u3068\u8a00\u308f\u308c\u3066\u3044\u308b\u3082\u306e\u3067\u3059\u3002<\/p>\n\n\n

\n
\"\u5e73\u9762\u30d9\u30af\u30c8\u30eb\u306e\u6c42\u3081\u65b9\u2460\"<\/figure>\n<\/div>\n\n\n

\u753b\u50cf\u4e0a\u306b\u3042\u308b\\(\\vec{a},\\vec{b},\\vec{c}\\)\u3092\u6210\u5206\u8868\u793a\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\u5148\u307b\u3069\u89e3\u8aac\u3057\u305f\u3088\u3046\u306b\u3001\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u306f\u3001\u59cb\u70b9\u304b\u3089\u7d42\u70b9\u306b\u5411\u3051\u3066\u3001x\u8ef8\u65b9\u5411\u306b\u3069\u308c\u3060\u3051\u9032\u3093\u3060\u304b\u3001y\u8ef8\u65b9\u5411\u306b\u3069\u308c\u3060\u3051\u9032\u3093\u3060\u304b\u3092\u8003\u3048\u308b\u3068\u3046\u307e\u304f\u3044\u304d\u307e\u3059\u3002
\u307e\u305a\u306f\\(\\vec{a}\\)\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n

\n
\"\u5e73\u9762\u30d9\u30af\u30c8\u30eb\u306e\u6c42\u3081\u65b9\u2461\"<\/figure>\n<\/div>\n\n\n

\\(\\vec{a}\\)\u306f\u59cb\u70b9\u304b\u3089\u7d42\u70b9\u306b\u5411\u3051\u3066\u3001x\u8ef8\u65b9\u5411\u306b\u3069\u308c\u3060\u3051\u9032\u3093\u3060\u304b\u3001y\u8ef8\u65b9\u5411\u306b\u3069\u308c\u3060\u3051\u9032\u3093\u3060\u304b\u3092\u8003\u3048\u308b\u3068\u3001\\(\\vec{a}=(2,1)\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u6b21\u306f\u3001\\(\\vec{b}\\)\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n

\n
\"\u5e73\u9762\u30d9\u30af\u30c8\u30eb\u306e\u6c42\u3081\u65b9\u2462\"<\/figure>\n<\/div>\n\n\n

\\(\\vec{b}\\)\u3067\u9593\u9055\u3048\u3084\u3059\u3044\u89e3\u7b54\u304c\u3001\\(\\vec{b}=(6,6)\\)\u3067\u3059\u3002<\/p>\n\n\n\n

\u3053\u3053\u3067\u6ce8\u76ee\u3059\u308b\u3079\u304d\u30dd\u30a4\u30f3\u30c8\u306f\u59cb\u70b9\u306e\u4f4d\u7f6e\u3067\u3001\\(\\vec{a}\\)\u3068\u9055\u3063\u3066\u59cb\u70b9\u304c\u539f\u70b9\u3067\u306a\u3044\u305f\u3081\u6ce8\u610f\u304c\u5fc5\u8981<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n

\\(\\vec{b}\\)\u306f\u59cb\u70b9\\((x,y)=(3,4)\\) \u3001\u7d42\u70b9\\((x,y)=(6,6)\\) \u306a\u306e\u3067\u3001\u59cb\u70b9\u304b\u3089\u7d42\u70b9\u306b\u5411\u3051\u3066x\u8ef8\u65b9\u5411\u306b3\u3001y\u8ef8\u65b9\u5411\u306b2\u3060\u3051\u9032\u3093\u3067\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u3088\u3063\u3066\u3001\\(\\vec{b}=(3,2)\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u6700\u5f8c\u306b\u3001\\(\\vec{c}\\)\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n

\n
\"\u5e73\u9762\u30d9\u30af\u30c8\u30eb\u306e\u6c42\u3081\u65b9\u2463\"<\/figure>\n<\/div>\n\n\n

\\(\\vec{c}\\)\u306f\u3053\u308c\u307e\u3067\u306e\u30d9\u30af\u30c8\u30eb\u3068\u5411\u304d\u304c\u9055\u3044\u307e\u3059\u306d\u3002<\/p>\n\n\n\n

\\(\\vec{c}\\)\u306e\u59cb\u70b9\u30fb\u7d42\u70b9\u306f\u3001\u305d\u308c\u305e\u308c\u59cb\u70b9\\((x,y)=(0,0)\\)\u3001\u7d42\u70b9\\((x,y)=(\u22123,\u22123)\\)\u3067\u3059\u306d\u3002<\/p>\n\n\n\n

\u305d\u308c\u305e\u308c\u59cb\u70b9\u304b\u3089\u7d42\u70b9\u306b\u5411\u3051\u3066\u3001x\u8ef8\u65b9\u5411\u306b-3\u3001y\u8ef8\u65b9\u5411\u306b-3\u9032\u3093\u3067\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u3088\u3063\u3066\u3001\\(\\vec{c}=(\u22123,\u22123)\\)<\/span>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u7a7a\u9593\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206<\/h3>\n\n\n\n

\u3053\u3053\u304b\u3089\u306f\u3001\u7a7a\u9593\u30d9\u30af\u30c8\u30eb\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n

\u7a7a\u9593\u30d9\u30af\u30c8\u30eb\u3067\u3082\u8003\u3048\u65b9\u306f\u5e73\u9762\u3068\u540c\u3058\u306a\u306e\u3067\u5b89\u5fc3\u3057\u3066\u4e0b\u3055\u3044\uff01<\/span><\/p>\n\n\n\n

\u7a7a\u9593\u30d9\u30af\u30c8\u30eb\u3068\u306a\u308b\u3068\u8ef8\u304c1\u3064\u5897\u3048\u308b\u306e\u3067\u30013\u3064\u306e\u6210\u5206\u3067\u8868\u3059\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n

\n
\"\u7a7a\u9593\u30d9\u30af\u30c8\u30eb\u306e\u6c42\u3081\u65b9\u2460\"<\/figure>\n<\/div>\n\n\n

\u59cb\u70b9\u306f\u539f\u70b9\u3067\u3001\u7d42\u70b9\u306f\\((x,y,z)=(3,4,5)\\)\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\u5e73\u9762\u30d9\u30af\u30c8\u30eb\u306e\u6642\u3068\u540c\u69d8\u306b\u3001\u59cb\u70b9\u304b\u3089\u7d42\u70b9\u306b\u5411\u3051\u3066\u3001\u3069\u306e\u304f\u3089\u3044\u9032\u3093\u3060\u304b\u3092\u8003\u3048\u3066\u307f\u307e\u3059\u3002<\/p>\n\n\n

\n
\"\u7a7a\u9593\u30d9\u30af\u30c8\u30eb\u306e\u6c42\u3081\u65b9\u2461\"<\/figure>\n<\/div>\n\n\n

\u3059\u308b\u3068\u3001\\(\\vec{a}=(3,4,5)\\)\u3068\u306a\u308b\u3053\u3068\u304c\u5206\u304b\u308b\u3067\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u3092\u6c42\u3081\u308b\u300a\u7df4\u7fd2\u554f\u984c\u300b<\/h2>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u3092\u6c42\u3081\u308b\u7df4\u7fd2\u3092\u3057\u3066\u307f\u307e\u3057\u3087\u3046\uff01<\/p>\n\n\n\n

\u7df4\u7fd2\u554f\u984c\u2460<\/span><\/div>
\n

\\(\\vec{a},\\vec{b}\\)\u306e\u6210\u5206\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n

\n
\"\u30d9\u30af\u30c8\u30eb\u6210\u5206\u8868\u793a\u3092\u6c42\u3081\u308b\u7df4\u7fd2\u554f\u984c\u2460\"<\/figure>\n<\/div><\/div><\/div>\n\n\n\n
\n
\u89e3\u7b54\u3092\u78ba\u8a8d\u3059\u308b<\/span><\/i><\/i><\/span><\/summary>
\n

\\(\\vec{a}=(2,1)\u3001\\vec{b}=(\u22122,5)\\)<\/p>\n\n\n\n

\u89e3\u8aac:
\\(\\vec{a}\\)\u306e\u59cb\u70b9\u306f\\((x,y)=(3,4)\\)\u3001\u7d42\u70b9\u306f\\((x,y)=(5,5)\\)
\u59cb\u70b9\u304b\u3089\u7d42\u70b9\u306b\u5411\u3051\u3066\u3001\u3069\u306e\u304f\u3089\u3044\u9032\u3093\u3060\u304b\u3092\u8003\u3048\u308b\u3068\u3001\\(\\vec{a}=(2,1)\\)<\/span>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\\(\\vec{b}\\)\u306e\u59cb\u70b9\u306f\\((x,y)=(0,0)\\)\u3001\u7d42\u70b9\u306f\\((x,y)=(\u22122,5)\\)
\u59cb\u70b9\u304b\u3089\u7d42\u70b9\u306b\u5411\u3051\u3066\u3001\u3069\u306e\u304f\u3089\u3044\u9032\u3093\u3060\u304b\u3092\u8003\u3048\u308b\u3068\u3001\\(\\vec{b}=(\u22122,5)\\)<\/span>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/div><\/details>\n<\/div>\n\n\n\n

\u7df4\u7fd2\u554f\u984c\u2461<\/span><\/div>
\n

\\(\\vec{c}\\)\u306e\u6210\u5206\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\"\u30d9\u30af\u30c8\u30eb\u6210\u5206\u8868\u793a\u3092\u6c42\u3081\u308b\u7df4\u7fd2\u554f\u984c\u2461\"<\/p>\n<\/div><\/div>\n\n\n\n

\n
\u89e3\u7b54\u3092\u78ba\u8a8d\u3059\u308b<\/span><\/i><\/i><\/span><\/summary>
\n

\\(\\vec{c}=(2,2,\u22123)\\)<\/p>\n\n\n\n

\u89e3\u8aac:
\\(\\vec{c}\\)\u306e\u59cb\u70b9\u306f\\((x,y,z)=(0,0,0)\\)\u3001\u7d42\u70b9\u306f\\((x,y,z)=(2,2,\u22123)\\)
\u59cb\u70b9\u304b\u3089\u7d42\u70b9\u306b\u5411\u3051\u3066\u3001\u3069\u306e\u304f\u3089\u3044\u9032\u3093\u3060\u304b\u3092\u8003\u3048\u308b\u3068\u3001<span class=”hutoaka”>\\(\\vec{c}=(2,2,\u22123)\\)<\/span>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/div><\/details>\n<\/div>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u3092\u4f7f\u3063\u305f\u516c\u5f0f<\/h2>\n\n\n\n

\u3053\u3053\u304b\u3089\u306f\u3001\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u3092\u4f7f\u3063\u305f\u91cd\u8981\u516c\u5f0f\u3092\u3044\u304f\u3064\u304b\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n

\u77e5\u3063\u3066\u304a\u304f\u3068\u89e3\u3051\u308b\u554f\u984c\u306e\u5e45\u304c\u5e83\u304c\u308a\u3001\u30d9\u30af\u30c8\u30eb\u5206\u91ce\u304c\u5c11\u3057\u5f97\u610f\u306b\u8fd1\u3065\u304f\u3053\u3068\u9593\u9055\u3044\u306a\u3057\uff01<\/p>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055<\/h3>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306b\u306f\u201c\u5927\u304d\u3055\u201d<\/span>\u304c\u3042\u308a\u3001\u6210\u5206\u3092\u4f7f\u3063\u3066\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055<\/span><\/div>
\n

\\(\\vec{a}=(x,y)\\)\u3068\u3059\u308b\u3068\u304d\u3001\\(\\vec{a}\\)\u306e\u5927\u304d\u3055\u306f<\/p>\n\n\n\n

\\[|\\vec{a}|=\\sqrt{x^2+y^2}\\]<\/p>\n<\/div><\/div>\n\n\n\n

\u4e2d\u5b66\u3067\u7fd2\u3063\u305f\u4e09\u5e73\u65b9\u306e\u5b9a\u7406\u3092\u4f7f\u3046\u3068\u7406\u89e3\u3057\u3084\u3059\u3044\u3067\u3059\u306d\u3002<\/p>\n\n\n

\n
\"\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\"<\/figure>\n<\/div>\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u8db3\u3057\u7b97\u30fb\u5f15\u304d\u7b97<\/h3>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u540c\u58eb\u3092\u3001\u8db3\u3057\u305f\u308a\u5f15\u3044\u305f\u308a\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n

\n
\"\u30d9\u30af\u30c8\u30eb\u306e\u8db3\u3057\u7b97\u30fb\u5f15\u304d\u7b97\"<\/figure>\n<\/div>\n\n\n

\\(\\vec{a}=(3,1)\u3001\\vec{b}=(2,2)\\)\u3068\u3057\u3066\u3001<\/p>\n\n\n\n

\\(\\vec{c}=\\vec{a}+\\vec{b}=(3+2,2+1)=(5,3)\\)<\/p>\n\n\n\n

\u56f3\u3067\u898b\u3066\u3082\\(\\vec{c}\\)\u306e\u6210\u5206\u8868\u793a\u306b\u4e00\u81f4\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n

\n
\"\u30d9\u30af\u30c8\u30eb\u306e\u8db3\u3057\u7b97\u30fb\u5f15\u304d\u7b97\u2461\"<\/figure>\n<\/div>\n\n\n

\\(\\vec{a}=(3,1)\u3001\\vec{b}=(2,2)\\)
\\(\\vec{d}=\\vec{a}+\\vec{\u2212b}=\\vec{a}\u2212\\vec{b}=(3\u22122,1\u22122)=(1,\u22121)\\)<\/p>\n\n\n\n

\u56f3\u3067\u898b\u3066\u3082\\(\\vec{d}\\)\u306e\u6210\u5206\u8868\u793a\u306b\u4e00\u81f4\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d<\/h3>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u3092\u4f7f\u3048\u3070\u3001\u5185\u7a4d\u3092\u6c42\u3081\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n

\n
\"\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\"<\/figure>\n<\/div>\n\n\n
\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d<\/span><\/div>
\n

\\(\\vec{a}=(x_{1},y_{1})\u3001\\vec{b}=(x_{2},y_{2})\\)\u3068\u3059\u308b\u3068\u304d\u3001<\/p>\n\n\n\n

\u5185\u7a4d\\(\\vec{a} \\cdot \\vec{b}\\)\u306f\u3001<\/p>\n\n\n\n

\\[\\vec{a} \\cdot \\vec{b}=x_1x_2+y_1y_2\\]<\/p>\n\n\n\n

\u3068\u8868\u3059\u3002<\/p>\n<\/div><\/div>\n\n\n\n

\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n

\u4eca\u56de\u306f\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n

\u6210\u5206\u8868\u793a\u81ea\u4f53\u306f\u305d\u3053\u307e\u3067\u96e3\u3057\u3044\u3082\u306e\u3067\u306f\u306a\u3044\u3067\u3059\u3002
\u3057\u304b\u3057\u3001\u6210\u5206\u8868\u793a\u3092\u7528\u3044\u305f\u91cd\u8981\u516c\u5f0f\u304c\u591a\u3044\u305f\u3081\u3001\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u306f\u5fc5\u305a\u7fd2\u5f97\u3057\u3066\u6b32\u3057\u3044<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n

\n


\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u306e\u6c42\u3081\u65b9\u306f\u59cb\u70b9\u304b\u3089\u7d42\u70b9\u306b\u5411\u3051\u3066\u3001x\u8ef8\u65b9\u5411\u3001y\u8ef8\u65b9\u5411\u306b\u3069\u308c\u3060\u3051\u9032\u3093\u3060\u304b\u3092\u8003\u3048\u3001
\\(\\vec{a}\\)=\uff08x\u8ef8\u65b9\u5411\u306b\u9032\u3093\u3060\u8ddd\u96e2,y\u8ef8\u65b9\u5411\u306b\u9032\u3093\u3060\u8ddd\u96e2\uff09
\u3068\u8868\u3057\u307e\u3059\u3002<\/p>\n<\/div><\/div>\n\n\n\n

\u3053\u306e\u6210\u5206\u8868\u793a\u3092\u4f7f\u3048\u3070\u3001\u8db3\u3057\u7b97\u30fb\u5f15\u304d\u7b97\u306a\u3069\u8a08\u7b97\u3082\u30b9\u30e0\u30fc\u30ba\u306b\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

\u305c\u3072\u6d3b\u7528\u3057\u3066\u3001\u30d9\u30af\u30c8\u30eb\u3078\u306e\u7406\u89e3\u3092\u6df1\u3081\u3066\u304f\u3060\u3055\u3044\u306d\uff01<\/p>\n\n\n\n

\u305d\u308c\u3067\u306f\u6700\u5f8c\u307e\u3067\u3054\u89a7\u3044\u305f\u3060\u304d\u3042\u308a\u304c\u3068\u3046\u3054\u3056\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n

\u307f\u3093\u306a\u306e\u52aa\u529b\u304c\u5831\u308f\u308c\u307e\u3059\u3088\u3046\u306b\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"

\u4eca\u56de\u306f\u6570\u5b66B\u306e\u30d9\u30af\u30c8\u30eb\u304b\u3089\u300c\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u300d\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 \u30d9\u30af\u30c8\u30eb\u306b\u306f\u6210\u5206\u304c\u3042\u308a\u3001\u59cb\u70b9\u3068\u7d42\u70b9\u306e\u5dee\u304c\u305d\u306e\u307e\u307e\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u3068\u306a\u308a\u307e\u3059\u3002 \u30d9\u30af\u30c8\u30eb\u306e\u91cd\u8981\u516c\u5f0f\u306b\u306f\u6210\u5206\u8868\u793a\u3092\u6d3b\u7528\u3059\u308b\u3082\u306e\u304c\u591a\u3044\u305f\u3081\u3001\u4eca\u56de\u3067 […]<\/p>\n","protected":false},"author":1,"featured_media":14550,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[16,225],"tags":[17,14,11],"class_list":["post-14410","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-vector","category-math-b","tag-17","tag-b","tag-11"],"yoast_head":"\n\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u3068\u6c42\u3081\u65b9\uff1a\u5ea7\u6a19\u3068\u306e\u9055\u3044\u3068\u5927\u304d\u3055\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u89e3\u8aac<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/math-travel.jp\/math-b\/vector-component\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u3068\u6c42\u3081\u65b9\uff1a\u5ea7\u6a19\u3068\u306e\u9055\u3044\u3068\u5927\u304d\u3055\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u89e3\u8aac\" \/>\n<meta property=\"og:description\" content=\"\u4eca\u56de\u306f\u6570\u5b66B\u306e\u30d9\u30af\u30c8\u30eb\u304b\u3089\u300c\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u8868\u793a\u300d\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 \u30d9\u30af\u30c8\u30eb\u306b\u306f\u6210\u5206\u304c\u3042\u308a\u3001\u59cb\u70b9\u3068\u7d42\u70b9\u306e\u5dee\u304c\u305d\u306e\u307e\u307e\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u3068\u306a\u308a\u307e\u3059\u3002 \u30d9\u30af\u30c8\u30eb\u306e\u91cd\u8981\u516c\u5f0f\u306b\u306f\u6210\u5206\u8868\u793a\u3092\u6d3b\u7528\u3059\u308b\u3082\u306e\u304c\u591a\u3044\u305f\u3081\u3001\u4eca\u56de\u3067 […]\" \/>\n<meta property=\"og:url\" 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