{
  "icon" : "arrow.up.right",
  "id" : "87694962-C669-54F1-9EBA-2EA838890CAA",
  "lines" : [
    {
      "id" : "EB23330A-6907-5952-83C0-63496ECC89BA",
      "source" : "# Vector components"
    },
    {
      "id" : "C4E6E76C-E168-5A91-B6AA-634486E86F2B",
      "source" : "v x = 3"
    },
    {
      "id" : "F5ECED20-50CE-5EC5-8422-132267E1CAEC",
      "source" : "v y = 4"
    },
    {
      "id" : "43A80AC7-157C-50AE-8F56-E7790714433D",
      "source" : "magnitude = sqrt(v x² + v y²)"
    },
    {
      "id" : "E285E2FD-C154-5A03-8713-4021DD45DD66",
      "source" : "magnitude == 5"
    },
    {
      "id" : "BC5A25E4-1EF6-5AF2-9AC8-9D1A8081EAFC",
      "source" : ""
    },
    {
      "id" : "809BCA52-96D5-5A57-AA98-60E37BBC92D1",
      "source" : "# Scaling"
    },
    {
      "id" : "CA1800D2-B4AF-51E9-A70C-C87F8BA49AF2",
      "source" : "double magnitude = magnitude*2"
    },
    {
      "id" : "7382C204-EC4F-503C-B264-6119894F5681",
      "source" : "unit x = v x\/magnitude"
    },
    {
      "id" : "44925259-2C99-58B0-B774-6F3ABBC4A9F2",
      "source" : "unit y = v y\/magnitude"
    },
    {
      "id" : "2812BD09-C408-5CC3-9EF1-B13F0C49E145",
      "source" : "unit x² + unit y² == 1"
    },
    {
      "id" : "525AF23C-9FA1-5C16-9FC1-A60EBC8F4AC3",
      "source" : ""
    },
    {
      "id" : "71E914AF-9903-5729-8B19-1293F763E935",
      "source" : "# Dot product and angle"
    },
    {
      "id" : "75F3B0E6-330C-50D6-94A2-485F3C9ACD9F",
      "source" : "w x = 2"
    },
    {
      "id" : "6EB56BD8-B891-5F2B-B629-2EEE2512287B",
      "source" : "w y = -1"
    },
    {
      "id" : "49876439-5CD8-54A5-8704-9C2128C959AF",
      "source" : "dot product = v x*w x + v y*w y"
    },
    {
      "id" : "EA62C9B2-188B-57F8-962A-C94E0BDF714A",
      "source" : "w magnitude = sqrt(w x² + w y²)"
    },
    {
      "id" : "55F1D9D9-77F9-59D5-AE69-66F017F75B86",
      "source" : "cosine of angle = dot product\/(magnitude*w magnitude)"
    },
    {
      "id" : "93179908-2E99-5D66-9053-1E61001E539C",
      "source" : "angle between = acosd(cosine of angle)"
    }
  ],
  "numberStyle" : {
    "decimal" : ".",
    "grouping" : ",",
    "secondaryGroupSize" : 3
  },
  "title" : "Vectors"
}