{"id":133643,"date":"2025-11-17T07:55:41","date_gmt":"2025-11-16T22:55:41","guid":{"rendered":"https:\/\/adtechmanagement.com\/minnadepr-column\/?p=133643"},"modified":"2025-11-17T07:55:41","modified_gmt":"2025-11-16T22:55:41","slug":"vector-toha","status":"publish","type":"post","link":"https:\/\/adtechmanagement.com\/minnadepr-column\/2025\/11\/17\/vector-toha\/","title":{"rendered":"\u30d9\u30af\u30c8\u30eb\u3068\u306f\u4f55\u304b\uff1f\u7c21\u5358\u306b\u7406\u89e3\u3067\u304d\u308b\u610f\u5473\u3068\u4f7f\u3044\u65b9\u306e\u5fb9\u5e95\u89e3\u8aac"},"content":{"rendered":"

\u30d9\u30af\u30c8\u30eb\u306f\u6570\u5b66\u3084\u7269\u7406\u306e\u57fa\u672c\u6982\u5ff5\u3067\u3042\u308a\u306a\u304c\u3089\u3001\u521d\u3081\u3066\u5b66\u3076\u4eba\u306b\u306f\u5c11\u3057\u96e3\u3057\u304f\u611f\u3058\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u30dd\u30a4\u30f3\u30c8\u3092\u62bc\u3055\u3048\u308c\u3070\u8ab0\u3067\u3082\u7c21\u5358\u306b\u7406\u89e3\u3067\u304d\u307e\u3059\u3002\u672c\u8a18\u4e8b\u3067\u306f\u3001\u30d9\u30af\u30c8\u30eb\u306e\u57fa\u672c\u7684\u306a\u610f\u5473\u304b\u3089\u8a08\u7b97\u65b9\u6cd5\u3001\u65e5\u5e38\u3084\u7269\u7406\u3067\u306e\u5fdc\u7528\u307e\u3067\u8a73\u3057\u304f\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n

1. \u30d9\u30af\u30c8\u30eb\u306e\u57fa\u672c\u7684\u306a\u610f\u5473<\/h2>\n

1.1 \u30d9\u30af\u30c8\u30eb\u3068\u306f\u4f55\u304b<\/h3>\n

\u30d9\u30af\u30c8\u30eb\u3068\u306f\u3001\u5927\u304d\u3055\u3068\u5411\u304d\u3092\u6301\u3064\u91cf\u306e\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002\u4f4d\u7f6e\u3084\u65b9\u5411\u3092\u8868\u3059\u77e2\u5370\u306e\u3088\u3046\u306a\u30a4\u30e1\u30fc\u30b8\u3067\u8003\u3048\u308b\u3068\u7406\u89e3\u3057\u3084\u3059\u3044\u3067\u3059\u3002\u9577\u3055\u304c\u5927\u304d\u3055\u3092\u793a\u3057\u3001\u77e2\u5370\u306e\u5411\u304d\u304c\u65b9\u5411\u3092\u793a\u3057\u307e\u3059\u3002 <\/p>\n

1.2 \u30b9\u30ab\u30e9\u30fc\u91cf\u3068\u306e\u9055\u3044<\/h3>\n

\u30b9\u30ab\u30e9\u30fc\u91cf\u306f\u5927\u304d\u3055\u3060\u3051\u3092\u6301\u3064\u91cf\u3067\u3001\u4f8b\u3048\u3070\u6e29\u5ea6\u3084\u91cd\u3055\u304c\u3053\u308c\u306b\u5f53\u305f\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u5bfe\u3057\u3066\u3001\u901f\u5ea6\u3084\u529b\u306e\u3088\u3046\u306b\u5411\u304d\u3082\u5fc5\u8981\u306a\u91cf\u306f\u30d9\u30af\u30c8\u30eb\u3068\u3057\u3066\u8868\u3055\u308c\u307e\u3059\u3002 <\/p>\n

1.3 \u8868\u8a18\u65b9\u6cd5<\/h3>\n

\u30d9\u30af\u30c8\u30eb\u306f\u901a\u5e38\u3001\u77e2\u5370\u4ed8\u304d\u306e\u6587\u5b57\u3084\u592a\u5b57\u3067\u8868\u3055\u308c\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\\(\\vec{v}\\)\u3084**v**\u306a\u3069\u3067\u3059\u3002\u307e\u305f\u3001\u6210\u5206\u8868\u793a\u3067 \\((x, y)\\) \u306e\u3088\u3046\u306b\u5ea7\u6a19\u3067\u8868\u3059\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n

2. \u30d9\u30af\u30c8\u30eb\u306e\u8868\u3057\u65b9\u3068\u57fa\u672c\u64cd\u4f5c<\/h2>\n

2.1 \u5ea7\u6a19\u3067\u306e\u8868\u3057\u65b9<\/h3>\n

\u5e73\u9762\u4e0a\u306e\u30d9\u30af\u30c8\u30eb\u306f \\((x, y)\\) \u306e\u5f62\u5f0f\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002x\u6210\u5206\u304c\u6c34\u5e73\u65b9\u5411\u3001y\u6210\u5206\u304c\u5782\u76f4\u65b9\u5411\u306e\u5927\u304d\u3055\u3092\u793a\u3057\u307e\u3059\u3002\u7a7a\u9593\u3067\u306f \\((x, y, z)\\) \u306e\u3088\u3046\u306b3\u6b21\u5143\u3067\u8868\u73fe\u3055\u308c\u307e\u3059\u3002 <\/p>\n

2.2 \u30d9\u30af\u30c8\u30eb\u306e\u52a0\u6cd5<\/h3>\n

\u30d9\u30af\u30c8\u30eb\u540c\u58eb\u3092\u8db3\u3059\u3068\u304d\u306f\u3001\u5bfe\u5fdc\u3059\u308b\u6210\u5206\u3092\u8db3\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\\((x_1, y_1) + (x_2, y_2) = (x_1+x_2, y_1+y_2)\\) \u3067\u3059\u3002\u5e73\u884c\u56db\u8fba\u5f62\u6cd5\u5247\u3092\u4f7f\u3046\u3068\u3001\u56f3\u5f62\u7684\u306b\u52a0\u6cd5\u3092\u8996\u899a\u5316\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <\/p>\n

2.3 \u30d9\u30af\u30c8\u30eb\u306e\u6e1b\u6cd5<\/h3>\n

\u30d9\u30af\u30c8\u30eb\u306e\u5f15\u304d\u7b97\u3082\u6210\u5206\u3054\u3068\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002\\((x_1, y_1) - (x_2, y_2) = (x_1-x_2, y_1-y_2)\\) \u3068\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u3042\u308b\u30d9\u30af\u30c8\u30eb\u304b\u3089\u5225\u306e\u30d9\u30af\u30c8\u30eb\u3078\u306e\u76f8\u5bfe\u7684\u306a\u65b9\u5411\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n

2.4 \u30d9\u30af\u30c8\u30eb\u306e\u30b9\u30ab\u30e9\u30fc\u500d<\/h3>\n

\u30d9\u30af\u30c8\u30eb\u3092\u30b9\u30ab\u30e9\u30fc\uff08\u666e\u901a\u306e\u6570\uff09\u3067\u639b\u3051\u308b\u3068\u3001\u5927\u304d\u3055\u304c\u305d\u306e\u6570\u500d\u306b\u306a\u308a\u307e\u3059\u3002\u5411\u304d\u306f\u6b63\u306e\u6570\u306a\u3089\u540c\u3058\u3001\u8ca0\u306e\u6570\u306a\u3089\u9006\u5411\u304d\u306b\u306a\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070 \\(2 \\times (3, 4) = (6, 8)\\) \u3067\u3059\u3002<\/p>\n

3. \u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\u3068\u65b9\u5411<\/h2>\n

3.1 \u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\uff08\u9577\u3055\uff09<\/h3>\n

2\u6b21\u5143\u30d9\u30af\u30c8\u30eb \\((x, y)\\) \u306e\u5927\u304d\u3055\u306f\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u3066\u6c42\u3081\u3089\u308c\u307e\u3059\u3002\u516c\u5f0f\u306f \\(|\\vec{v}| = \\sqrt{x^2 + y^2}\\) \u3067\u3059\u30023\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u3067\u306f \\(|\\vec{v}| = \\sqrt{x^2 + y^2 + z^2}\\) \u3068\u306a\u308a\u307e\u3059\u3002 <\/p>\n

3.2 \u5358\u4f4d\u30d9\u30af\u30c8\u30eb<\/h3>\n

\u5927\u304d\u3055\u304c1\u306e\u30d9\u30af\u30c8\u30eb\u3092\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u3068\u547c\u3073\u3001\u65b9\u5411\u3060\u3051\u3092\u793a\u3059\u3068\u304d\u306b\u4f7f\u3044\u307e\u3059\u3002\u30d9\u30af\u30c8\u30eb \\(\\vec{v}\\) \u306e\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u306f \\(\\frac{\\vec{v}}{|\\vec{v}|}\\) \u3067\u6c42\u3081\u3089\u308c\u307e\u3059\u3002 <\/p>\n

3.3 \u89d2\u5ea6\u3068\u65b9\u5411<\/h3>\n

\u30d9\u30af\u30c8\u30eb\u306e\u65b9\u5411\u306f\u5ea7\u6a19\u8ef8\u3068\u306e\u89d2\u5ea6\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\\(\\theta = \\arctan(y\/x)\\) \u3067\u6c34\u5e73\u65b9\u5411\u3068\u306e\u89d2\u5ea6\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n

4. \u30d9\u30af\u30c8\u30eb\u306e\u5fdc\u7528<\/h2>\n

4.1 \u7269\u7406\u3067\u306e\u5fdc\u7528<\/h3>\n

\u7269\u7406\u3067\u306f\u3001\u529b\u3001\u901f\u5ea6\u3001\u52a0\u901f\u5ea6\u306a\u3069\u591a\u304f\u306e\u91cf\u304c\u30d9\u30af\u30c8\u30eb\u3067\u8868\u3055\u308c\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u529b\u306e\u5408\u6210\u306f\u30d9\u30af\u30c8\u30eb\u306e\u52a0\u6cd5\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002 <\/p>\n

4.2 \u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9\u3067\u306e\u5fdc\u7528<\/h3>\n

CG\u3084\u30b2\u30fc\u30e0\u958b\u767a\u3067\u3082\u30d9\u30af\u30c8\u30eb\u306f\u91cd\u8981\u3067\u3059\u3002\u7269\u4f53\u306e\u79fb\u52d5\u65b9\u5411\u3001\u5149\u306e\u65b9\u5411\u3001\u30ab\u30e1\u30e9\u306e\u8996\u70b9\u306a\u3069\u3001\u30d9\u30af\u30c8\u30eb\u3092\u4f7f\u3046\u3053\u3068\u3067\u6b63\u78ba\u306b\u8868\u73fe\u3067\u304d\u307e\u3059\u3002 <\/p>\n

4.3 \u5730\u56f3\u3084\u30ca\u30d3\u30b2\u30fc\u30b7\u30e7\u30f3\u3067\u306e\u5fdc\u7528<\/h3>\n

GPS\u3084\u5730\u56f3\u30a2\u30d7\u30ea\u3067\u3082\u30d9\u30af\u30c8\u30eb\u304c\u6d3b\u7528\u3055\u308c\u307e\u3059\u3002\u73fe\u5728\u4f4d\u7f6e\u304b\u3089\u76ee\u7684\u5730\u307e\u3067\u306e\u65b9\u5411\u3084\u8ddd\u96e2\u306f\u30d9\u30af\u30c8\u30eb\u3067\u8868\u73fe\u3055\u308c\u307e\u3059\u3002<\/p>\n

5. \u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3068\u5916\u7a4d<\/h2>\n

5.1 \u5185\u7a4d\uff08\u30c9\u30c3\u30c8\u7a4d\uff09<\/h3>\n

2\u3064\u306e\u30d9\u30af\u30c8\u30eb \\(\\vec{a}, \\vec{b}\\) \u306e\u5185\u7a4d\u306f \\(\\vec{a} \\cdot \\vec{b} = |a||b|\\cos\\theta\\) \u3067\u8868\u3055\u308c\u3001\u30d9\u30af\u30c8\u30eb\u540c\u58eb\u306e\u65b9\u5411\u95a2\u4fc2\u3092\u77e5\u308b\u306e\u306b\u4fbf\u5229\u3067\u3059\u3002\u76f4\u89d2\u306a\u30890\u3001\u540c\u3058\u65b9\u5411\u306a\u3089\u6700\u5927\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n

5.2 \u5916\u7a4d\uff08\u30af\u30ed\u30b9\u7a4d\uff09<\/h3>\n

\u5916\u7a4d\u306f3\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u3067\u4f7f\u308f\u308c\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306b\u5782\u76f4\u306a\u30d9\u30af\u30c8\u30eb\u3092\u4f5c\u308a\u307e\u3059\u3002\u5927\u304d\u3055\u306f\u5e73\u884c\u56db\u8fba\u5f62\u306e\u9762\u7a4d\u306b\u5bfe\u5fdc\u3057\u3001\u7269\u7406\u3067\u306f\u30c8\u30eb\u30af\u3084\u78c1\u5834\u306e\u8a08\u7b97\u306b\u4f7f\u308f\u308c\u307e\u3059\u3002<\/p>\n

6. \u307e\u3068\u3081<\/h2>\n

\u30d9\u30af\u30c8\u30eb\u306f\u5927\u304d\u3055\u3068\u5411\u304d\u3092\u6301\u3064\u91cf\u3067\u3001\u6570\u5b66\u3084\u7269\u7406\u3001CG\u3001\u30ca\u30d3\u30b2\u30fc\u30b7\u30e7\u30f3\u306a\u3069\u5e45\u5e83\u304f\u5fdc\u7528\u3055\u308c\u307e\u3059\u3002\u57fa\u672c\u7684\u306a\u8a08\u7b97\u65b9\u6cd5\u3068\u3057\u3066\u52a0\u6cd5\u3001\u6e1b\u6cd5\u3001\u30b9\u30ab\u30e9\u30fc\u500d\u3001\u5927\u304d\u3055\u306e\u8a08\u7b97\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002\u307e\u305f\u3001\u5185\u7a4d\u3084\u5916\u7a4d\u3092\u4f7f\u3046\u3053\u3068\u3067\u3001\u30d9\u30af\u30c8\u30eb\u540c\u58eb\u306e\u95a2\u4fc2\u3092\u6df1\u304f\u7406\u89e3\u3067\u304d\u307e\u3059\u3002\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u3057\u304f\u7406\u89e3\u3059\u308b\u3068\u3001\u6570\u5b66\u3084\u7269\u7406\u306e\u5b66\u7fd2\u304c\u683c\u6bb5\u306b\u308f\u304b\u308a\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u30d9\u30af\u30c8\u30eb\u306f\u6570\u5b66\u3084\u7269\u7406\u306e\u57fa\u672c\u6982\u5ff5\u3067\u3042\u308a\u306a\u304c\u3089\u3001\u521d\u3081\u3066\u5b66\u3076\u4eba\u306b\u306f\u5c11\u3057\u96e3\u3057\u304f\u611f\u3058\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u30dd\u30a4\u30f3\u30c8\u3092\u62bc\u3055\u3048\u308c\u3070\u8ab0\u3067\u3082\u7c21\u5358\u306b\u7406\u89e3\u3067\u304d\u307e\u3059\u3002\u672c\u8a18\u4e8b\u3067\u306f\u3001\u30d9\u30af\u30c8\u30eb\u306e\u57fa\u672c\u7684\u306a\u610f\u5473\u304b\u3089\u8a08\u7b97\u65b9\u6cd5\u3001\u65e5\u5e38\u3084\u7269\u7406\u3067\u306e\u5fdc\u7528\u307e\u3067\u8a73\u3057\u304f\u89e3\u8aac\u3057\u307e\u3059\u3002 1.\u2026<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"spay_email":"","footnotes":""},"categories":[33],"tags":[],"class_list":["post-133643","post","type-post","status-publish","format-standard","hentry","category-business"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/adtechmanagement.com\/minnadepr-column\/wp-json\/wp\/v2\/posts\/133643","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/adtechmanagement.com\/minnadepr-column\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/adtechmanagement.com\/minnadepr-column\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/adtechmanagement.com\/minnadepr-column\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/adtechmanagement.com\/minnadepr-column\/wp-json\/wp\/v2\/comments?post=133643"}],"version-history":[{"count":1,"href":"https:\/\/adtechmanagement.com\/minnadepr-column\/wp-json\/wp\/v2\/posts\/133643\/revisions"}],"predecessor-version":[{"id":133645,"href":"https:\/\/adtechmanagement.com\/minnadepr-column\/wp-json\/wp\/v2\/posts\/133643\/revisions\/133645"}],"wp:attachment":[{"href":"https:\/\/adtechmanagement.com\/minnadepr-column\/wp-json\/wp\/v2\/media?parent=133643"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/adtechmanagement.com\/minnadepr-column\/wp-json\/wp\/v2\/categories?post=133643"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/adtechmanagement.com\/minnadepr-column\/wp-json\/wp\/v2\/tags?post=133643"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}