{"id":14741,"date":"2025-12-24T17:22:58","date_gmt":"2025-12-24T08:22:58","guid":{"rendered":"https:\/\/math-travel.com\/?p=14741"},"modified":"2026-03-06T01:10:32","modified_gmt":"2026-03-05T16:10:32","slug":"vector-parallel","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-b\/vector-parallel\/","title":{"rendered":"\u30d9\u30af\u30c8\u30eb\u306e\u5e73\u884c\u6761\u4ef6\u3068\u8a3c\u660e\uff01k\u500d\uff08\u5b9f\u6570\u500d\uff09\u306e\u95a2\u4fc2\u3068\u6210\u5206\u3067\u306e\u89e3\u304d\u65b9\u3092\u30de\u30b9\u30bf\u30fc"},"content":{"rendered":"\n
\u300c\u30d9\u30af\u30c8\u30eb\u306e\u5e73\u884c\u3063\u3066\u306a\u306b\uff1f\u300d
\u300c\u5e73\u884c\u306a\u30d9\u30af\u30c8\u30eb\u3092\u3069\u3046\u8868\u3059\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\u5e73\u884c\u6761\u4ef6\u300d<\/span>\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n 2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u5e73\u884c\u306e\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n 0\u3067\u306f\u306a\u30442\u3064\u306e\u30d9\u30af\u30c8\u30eb\\(\\vec{a}=(x_{1},y_{1}),\\vec{b}=(x_{2},y_{2})\\)\u304c\u3042\u308b\u3068\u304d\u3001\u5b9f\u6570\\(k\\)\u3092\u7528\u3044\u3066<\/p>\n\n\n\n \\[\\vec{a}\/\/\\vec{b} \\Leftrightarrow \\vec{b}=k\\vec{a} \\cdots\u2460\\]<\/p>\n\n\n\n \u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n\n\n\n \u307e\u305f\u3001<\/p>\n\n\n\n \\[\\vec{a}\/\/\\vec{b} \\Leftrightarrow x_{1}y_{2}-x_{2}y_{1}=0 \\cdots\u2461\\]<\/p>\n\n\n\n \u3082\u6210\u308a\u7acb\u3064\u3002<\/p>\n<\/div><\/div>\n\n\n\n \u30d9\u30af\u30c8\u30eb\u304c\u5e73\u884c\u306a\u3089\u3070\u3001\u5927\u304d\u3055\u304c\u540c\u3058\u306b\u306a\u308b\u3088\u3046\u306b\\(k\\)\u500d\u3057\u3066\u8abf\u6574\u3067\u304d\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/p>\n\n\n\n \u4eca\u56de\u306f\u30d9\u30af\u30c8\u30eb\u306e\u5e73\u884c\u6761\u4ef6<\/span>\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u5e73\u884c\u6761\u4ef6\u306e\u8a3c\u660e\u3084\u7df4\u7fd2\u554f\u984c\u306e\u7d39\u4ecb\u306a\u3069\u3001\u76db\u308a\u3060\u304f\u3055\u3093\u306a\u304c\u3089\u3082\u5206\u304b\u308a\u3084\u3059\u304f\u8aac\u660e\u3057\u3066\u3044\u304d\u307e\u3059\u306e\u3067\u3001\u305c\u3072\u6700\u5f8c\u307e\u3067\u8aad\u3093\u3067\u3001\u7406\u89e3\u3092\u6df1\u3081\u3066\u304f\u3060\u3055\u3044\u306d\uff01<\/p>\n\n\n\n \u305d\u308c\u3067\u306f\u30d9\u30af\u30c8\u30eb\u306e\u5e73\u884c\u6761\u4ef6\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n 0\u3067\u306f\u306a\u30442\u3064\u306e\u30d9\u30af\u30c8\u30eb\\(\\vec{a}=(x_{1},y_{1}),\\vec{b}=(x_{2},y_{2})\\)\u304c\u3042\u308b\u3068\u304d\u3001\u5b9f\u6570\\(k\\)\u3092\u7528\u3044\u3066<\/p>\n\n\n\n \\[\\vec{a}\/\/\\vec{b} \\Leftrightarrow \\vec{b}=k\\vec{a} \\cdots\u2460\\]<\/p>\n\n\n\n \u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n\n\n\n \u307e\u305f\u3001<\/p>\n\n\n\n \\[\\vec{a}\/\/\\vec{b} \\Leftrightarrow x_{1}y_{2}-x_{2}y_{1}=0 \\cdots\u2461\\]<\/p>\n\n\n\n \u3082\u6210\u308a\u7acb\u3064\u3002<\/p>\n\n\n\n \u3053\u3053\u3067\u3001\\(k\\)\u306e\u5024\u304c0\u3088\u308a\u5927\u304d\u3044\u3068\u304d\u306f\u3001\\(\\vec{a}\\)\u3068\\(\\vec{b}\\)\u306f\u540c\u3058\u5411\u304d\u306b\u5e73\u884c\u3002<\/span> \u5148\u307b\u3069\u7d39\u4ecb\u3057\u305f\u5e73\u884c\u6761\u4ef6\u306b\u3064\u3044\u3066\u3001\u8a3c\u660e\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u307e\u305a\u306f\u3001\u30d9\u30af\u30c8\u30eb\u306e\u5e73\u884c\u6761\u4ef6\u3092\u5fa9\u7fd2\u3057\u307e\u3059\u3002<\/p>\n\n\n\n 0\u3067\u306f\u306a\u30442\u3064\u306e\u30d9\u30af\u30c8\u30eb\\(\\vec{a}=(x_{1},y_{1}),\\vec{b}=(x_{2},y_{2})\\)\u304c\u3042\u308b\u3068\u304d\u3001\u5b9f\u6570\\(k\\)\u3092\u7528\u3044\u3066<\/p>\n\n\n\n \\[\\vec{a}\/\/\\vec{b} \\Leftrightarrow \\vec{b}=k\\vec{a} \\cdots\u2460\\]<\/p>\n\n\n\n \\[\\vec{a}\/\/\\vec{b} \\Leftrightarrow x_{1}y_{2}-x_{2}y_{1}=0 \\cdots\u2461\\]<\/p>\n\n\n\n \u307e\u305a\u3001\\(\\vec{a}\/\/\\vec{b} \\Leftrightarrow \\vec{b}=k\\vec{a}\u2026\u2460\\)\u3092\u8a3c\u660e\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \\(\\vec{a} \/\/\\vec{b} \\rightarrow \\vec{b}=k\\vec{a}\\)\u304b\u3089\u8a3c\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \uff12\u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u5e73\u884c\u3067\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u306f\u3001\u30d9\u30af\u30c8\u30eb\u540c\u58eb\u306e\u5411\u304d\u304c\u540c\u3058\u3067\u5927\u304d\u3055\u304c\u7570\u306a\u308b\u304b\u3001\u30d9\u30af\u30c8\u30eb\u540c\u58eb\u306e\u5411\u304d\u304c\u53cd\u5bfe\u3067\u5927\u304d\u3055\u304c\u7570\u306a\u308b\u3068\u3044\u3046\u3053\u3068\u3002<\/p>\n\n\n\n \u3088\u3063\u3066\u3001\u5b9f\u6570k\u3092\u7528\u3044\u3066\u3001\\(\\vec{b}=k\\vec{a}\\)\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n\n\n\n \u6b21\u306b\\(\\vec{b}=k\\vec{a} \\rightarrow \\vec{a} \/\/\\vec{b}\\)\u3092\u8a3c\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \u5b9f\u6570\\(k\\)\u3092\u7528\u3044\u3066\u3001\\(\\vec{b}=k\\vec{a}\\)\u3068\u8868\u305b\u308b\u3068\u3044\u3046\u3053\u3068\u306f\u3001\\(\\vec{a}\\)\u3068\\(\\vec{b}\\)\u306e\u5411\u304d\u304c\u540c\u3058\u304b\u53cd\u5bfe\u3067\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3042\u308b\u3002<\/p>\n\n\n\n \u3088\u3063\u3066\u3053\u306e\u5834\u5408\u3001\\(\\vec{a}\/\/\\vec{b}\\)\u3067\u3042\u308b\u3002<\/p>\n\n\n\n \u4ee5\u4e0a\u3088\u308a\u3001\\(\\vec{a}\/\/\\vec{b} \\Leftrightarrow \\vec{b}=k\\vec{a}\\)<\/p>\n\n\n\n \u6b21\u306b\u3001\\(\\vec{b}=k\\vec{a} \\Leftrightarrow x_{1}y_{2}-x_{2}y_{1}=0\u2026\u2461\\)\u3092\u8a3c\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \\(\\vec{b}=k\\vec{a} \\rightarrow x_{1}y_{2}-x_{2}y_{1}=0\\)\u3092\u8a3c\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \u4eca\u3001\\(\\vec{a}=(x_{1},y_{1}),\\vec{b}=(x_{2},y_{2})\\)\u3067\u3042\u308a\u3001\\(\\vec{b}=k\\vec{a}\\)\u3068\u306a\u308b\u5b9f\u6570k\u304c\u3042\u308b\u3068\u304d\u3001<\/p>\n\n\n\n \\begin{eqnarray} \u3053\u3053\u3067\u3001\u6bd4\u3092\u8003\u3048\u308b\u3002<\/p>\n\n\n\n \\begin{eqnarray} \\(x_{1}y_{2}-x_{2}y_{1}=0 \\rightarrow \\vec{b}=k\\vec{a}\\)\u3092\u8a3c\u660e\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \\begin{eqnarray} \u3053\u308c\u306f\u3001\\(\\vec{b}\\)\u304c\\(\\vec{a}\\)\u306ek\u500d\uff08k\u306f\u5b9f\u6570\uff09\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\u306e\u3067\u3001\\(\\vec{b}=k\\vec{a}\\)\u3068\u306a\u308b\u5b9f\u6570k\u304c\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3082\u3042\u308b\u3002<\/p>\n\n\n\n \u4ee5\u4e0a\u3088\u308a\u3001\\(\\vec{b}=k\\vec{a} \\Leftrightarrow x_{1}y_{2}-x_{2}y_{1}=0\u2026\u2461\\)<\/p>\n\n\n\n \u3053\u3053\u304b\u3089\u306f\u5e73\u884c\u306a\u5358\u4f4d\u30d9\u30af\u30c8\u30eb<\/span>\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n \u57fa\u790e\u554f\u984c\u3068\u3057\u3066\u30c6\u30b9\u30c8\u306a\u3069\u3067\u51fa\u984c\u3055\u308c\u307e\u3059\u3002\u3088\u304f\u7406\u89e3\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \u307e\u305a\u306f\u3001\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u306b\u3064\u3044\u3066\u5fa9\u7fd2\u3057\u307e\u3057\u3087\u3046\u3002 \u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u306e\u5b9a\u7fa9\u3092\u304a\u3055\u3048\u306a\u304c\u3089\u3001\u4f8b\u984c\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \\(\\vec{a}=(2,-1)\\)\u306b\u5e73\u884c\u306a\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\\(\\vec{t}\\)\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/div><\/div>\n\n\n\n \u6c42\u3081\u305f\u3044\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u3092\\(\\vec{t}=(x,y)\\)\u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u3067\u3059\u306e\u3067\\(|\\vec{t}|=1\\)\u3067\u3042\u308b\u3053\u3068\u304b\u3089\u3001<\/p>\n\n\n\n \\[x^{2}+y^{2}=1\\]<\/p>\n\n\n\n \u307e\u305f\u3001<\/p>\n\n\n\n \\begin{eqnarray} \u5148\u307b\u3069\u306e\u3001\\(x^{2}+y^{2}=1\\)\u3092\u4f7f\u3063\u3066\u3001<\/p>\n\n\n\n \\begin{eqnarray} \u3088\u3063\u3066\u3001\u6c42\u3081\u308b\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u306f\u3001<\/p>\n\n\n\n \\(\\displaystyle \\vec{t}=(-\\frac{2\\sqrt5}{5},\\frac{\\sqrt5}{5}),(\\frac{2\\sqrt5}{5},-\\frac{\\sqrt5}{5})\\)<\/span><\/p>\n\n\n 1\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306b\u5bfe\u3057\u3066\u5e73\u884c\u306a\u30d9\u30af\u30c8\u30eb\u306f2\u3064\u3042\u308a\u307e\u3059\u306e\u3067\u3001\u4e21\u65b9\u3068\u3082\u7b54\u3048\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u3053\u3053\u304b\u3089\u306f\u3001\u5e73\u884c\u6761\u4ef6\u3092\u7d61\u3081\u305f\u30d9\u30af\u30c8\u30eb\u306e\u7df4\u7fd2\u554f\u984c\u3092\u7d39\u4ecb\u3057\u3066\u3044\u304d\u307e\u3059\u3002 \\(\\vec{a}=(2,3),\\vec{b}=(6,k)\\)\u3068\u3059\u308b\u3002<\/p>\n\n\n\n \u3053\u306e\u3068\u304d\u3001\\(\\vec{a},\\vec{b}\\)\u304c\u4e92\u3044\u306b\u5e73\u884c\u3068\u306a\u308b\u3088\u3046\u306a\\(k\\)\u306e\u5024\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n<\/div><\/div>\n\n\n\n \\begin{eqnarray} \\(\\vec{a}=(t,-4),\\vec{b}=(6,8)\\)\u3068\u3059\u308b\u3002 \\(\\vec{a},\\vec{b}\\)\u304c\u4e92\u3044\u306b\u5e73\u884c\u3067\u3042\u308b\u3068\u304d\u3001\\(\\vec{b}=k\\vec{a}\\)\u3068\u306a\u308b\u5b9f\u6570\\(k\\)\u304c\u3042\u308b\u3002<\/p>\n\n\n\n \\((6,8)=k(t,-4)\\)\u3068\u306a\u308b\u5b9f\u6570\\(k\\)\u3092\u8003\u3048\u308b\u3068\u3001<\/p>\n\n\n\n \\begin{equation} \u3057\u305f\u304c\u3063\u3066\u3001\\(k=-2\\)\u3067\u3042\u308b\u304b\u3089\\(t=\uff0d3\\)<\/p>\n<\/div><\/details>\n<\/div>\n\n\n\n \u30d9\u30af\u30c8\u30eb\u306e\u5e73\u884c\u6761\u4ef6\u3068\u5408\u308f\u305b\u3066\u3001\u300c\u30d9\u30af\u30c8\u30eb\u306e\u5782\u76f4\u6761\u4ef6\u300d\u306b\u3064\u3044\u3066\u3082\u78ba\u8a8d\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046<\/span>\u3002<\/span><\/p>\n\n\n\n 0\u3067\u306f\u306a\u30442\u3064\u306e\u30d9\u30af\u30c8\u30eb\\(\\vec{a}\u3001\\vec{b}\\)\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n \u3053\u306e\u3068\u304d<\/p>\n\n\n\n \\[\\vec{a} \\bot \\vec{b} \\Leftrightarrow \\vec{a} \\cdot \\vec{b}=0 \\Leftrightarrow x_{1}x_{2}+y_{1}y_{2}=0\\]<\/p>\n\n\n\n \u4eca\u56de\u306f\u30d9\u30af\u30c8\u30eb\u306e\u5e73\u884c\u6761\u4ef6\u306b\u3064\u3044\u3066\u5b66\u7fd2\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n 0\u3067\u306f\u306a\u30442\u3064\u306e\u30d9\u30af\u30c8\u30eb\\(\\vec{a}=(x_{1},y_{1}),\\vec{b}=(x_{2},y_{2})\\)\u304c\u3042\u308b\u3068\u304d\u3001\u5b9f\u6570\\(k\\)\u3092\u7528\u3044\u3066<\/p>\n\n\n\n \\[\\vec{a}\/\/\\vec{b} \\Leftrightarrow \\vec{b}=k\\vec{a} \\cdots\u2460\\]<\/p>\n\n\n\n \u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n\n\n\n \u307e\u305f\u3001<\/p>\n\n\n\n \\[\\vec{a}\/\/\\vec{b} \\Leftrightarrow x_{1}y_{2}-x_{2}y_{1}=0 \\cdots\u2461\\]<\/p>\n\n\n\n \u3082\u6210\u308a\u7acb\u3064\u3002<\/p>\n\n\n\n \u3053\u3053\u3067\u3001\\(k\\)\u306e\u5024\u304c0\u3088\u308a\u5927\u304d\u3044\u3068\u304d\u306f\u3001\\(\\vec{a}\\)\u3068\\(\\vec{b}\\)\u306f\u540c\u3058\u5411\u304d\u306b\u5e73\u884c\u3002 \u30d9\u30af\u30c8\u30eb\u306e\u5e73\u884c\u6761\u4ef6\u3067\u3082\u5185\u7a4d\u306f\u6b20\u304b\u305b\u306a\u3044\u306e\u3067\u300c\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u300d<\/span>\u306b\u3064\u3044\u3066\u3082\u3057\u3063\u304b\u308a\u3068\u7406\u89e3\u3057\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/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\u5e73\u884c\u6761\u4ef6\u300d\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u5e73\u884c\u306e\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002 \u30d9\u30af\u30c8\u30eb\u304c\u5e73\u884c\u306a\u3089\u3070\u3001\u5927\u304d\u3055\u304c\u540c\u3058\u306b\u306a\u308b\u3088\u3046\u306b\\(k\\)\u500d\u3057\u3066\u8abf\u6574\u3067\u304d\u308b\u3068\u3044\u3046\u3053\u3068\u3067 […]<\/p>\n","protected":false},"author":1,"featured_media":14743,"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-14741","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
<\/p>\n\n\n\n\u30d9\u30af\u30c8\u30eb\u306e\u5e73\u884c\u6761\u4ef6<\/h2>\n\n\n
<\/figure>\n<\/div>\n\n\n
\\(k\\)\u306e\u5024\u304c0\u3088\u308a\u5c0f\u3055\u3044\u3068\u304d\u306f\u3001\\(\\vec{a}\\)\u3068\\(\\vec{b}\\)\u306f\u9006\u5411\u304d\u306b\u5e73\u884c<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n\u5e73\u884c\u6761\u4ef6\u306e\u8a3c\u660e<\/h2>\n\n\n\n
<\/p>\n\n\n\n
<\/p>\n\n\n\n
(x_{2},y_{2})&=&k(x_{1},y_{1})\\\\
(x_{2},y_{2})&=&(kx_{1},ky_{1})
\\end{eqnarray}<\/p>\n\n\n\n
x_{2}:y_{2}=kx_{1}:ky_{1} &\\Leftrightarrow& x_{2}:y_{2}=x_{1}:y_{1}\\\\
&\\Leftrightarrow& x_{1}y_{2}-x_{2}y_{1}=0
\\end{eqnarray}<\/p>\n\n\n\n
x_{1}y_{2}-x_{2}y_{1}=0 &\\Leftrightarrow& x_{2}:y_{2}=x_{1}:y_{1}\\\\
&\\Leftrightarrow& x_{2}:y_{2}=kx_{1}:ky_{1}
\\end{eqnarray}<\/p>\n\n\n\na\u30d9\u30af\u30c8\u30eb\u306b\u5e73\u884c\u306a\u5358\u4f4d\u30d9\u30af\u30c8\u30eb<\/h2>\n\n\n\n
\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u3068\u306f\u3001\u5927\u304d\u3055\u304c1\u306e\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002<\/span><\/p>\n\n\n
<\/figure>\n<\/div>\n\n\n
x_{1}y_{2}-x_{2}y_{1}&=&0\\\\
2\\times y-x\\times\\left(-1\\right)&=&0\\\\
2y+x&=&0\\\\
x&=&-2y
\\end{eqnarray}<\/p>\n\n\n\n
(-2y)^{2}+y^{2}&=&1\\\\
5y^{2}&=&1\\\\
y^{2}&=&\\frac{1}{5}\\\\
\\displaystyle y&=&\\pm \\frac{1}{\\sqrt5}\\\\
\\displaystyle y&=&\\pm \\frac{\\sqrt5}{5}
\\end{eqnarray}<\/p>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u5e73\u884c\u6761\u4ef6\u3092\u7528\u3044\u305f\u7df4\u7fd2\u554f\u984c<\/h2>\n\n\n\n
\u3067\u304d\u308b\u3060\u3051\u4e01\u5be7\u306b\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u306e\u3067\u3001\u305c\u3072\u4e00\u7dd2\u306b\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n\u89e3\u7b54\u3092\u30c1\u30a7\u30c3\u30af\u3059\u308b<\/span><\/i><\/i><\/span><\/summary>
2\\times k-3\\times6&=&0\\\\
2k-18&=&0\\\\
k&=&9
\\end{eqnarray}<\/p>\n<\/div><\/details>\n<\/div>\n\n\n\n
\u3053\u306e\u3068\u304d\u3001\\(\\vec{a},\\vec{b}\\)\u304c\u4e92\u3044\u306b\u5e73\u884c\u3068\u306a\u308b\u3088\u3046\u306a\\(t\\)\u306e\u5024\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n<\/div><\/div>\n\n\n\n\u89e3\u7b54\u3092\u30c1\u30a7\u30c3\u30af\u3059\u308b<\/span><\/i><\/i><\/span><\/summary>
\\begin{aligned}
6 & = kt\\\\
8 & = -4k
\\end{aligned}
\\end{equation}<\/p>\n\n\n\n\u30d9\u30af\u30c8\u30eb\u306e\u5782\u76f4\u6761\u4ef6<\/h2>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u30d9\u30af\u30c8\u30eb\u306e\u5e73\u884c\u6761\u4ef6\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
\\(k\\)\u306e\u5024\u304c0\u3088\u308a\u5c0f\u3055\u3044\u3068\u304d\u306f\u3001\\(\\vec{a}\\)\u3068\\(\\vec{b}\\)\u306f\u9006\u5411\u304d\u306b\u5e73\u884c\u3067\u3059\u3002<\/p>\n<\/div><\/div>\n\n\n\n