Προσθήκη διανυσμάτων: Εξισώσεις

Προσθήκη διανυσμάτων: Εξισώσεις Στιγμιότυπο οθόνης  Λήψη  Ενσωμάτωση
  • Equations
  • Διανύσματα
  • Συνιστώσες διανύσματος

Περιεχόμενο

  • Equations
  • Διανύσματα
  • Συνιστώσες διανύσματος
  • Πρόσθεση Διανυσμάτων

Description

Experiment with vector equations and compare vector sums and differences. Customize the base vectors or explore scalar multiplication by adjusting the coefficients in equation. Specify vectors in Cartesian or polar coordinates, and view the magnitude, angle, and components of each vector.

Δείγμα μαθησιακών στόχων

  • Describe what happens to a vector when it is multiplied by a scalar
  • Arrange vectors graphically to represent vector addition or subtraction
  • Compare the outcomes of each vector equation

Standards Alignment

Common Core - Math

HSN-VM.B.4c
Understand vector subtraction v - w as v + (-w), where -w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.
HSN-VM.B.5
(+) Multiply a vector by a scalar.
HSN-VM.B.5a
Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy).
HSN-VM.B.5b
Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ≠ 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).
Version 1.0.0

Teacher Tips

Το εγχειρίδιο του εκπαιδευτικού (pdf) περιέχει υποδείξεις που υποβλήθηκαν από την ομάδα του PhET. ( PDF ).

Teacher-Submitted Activities

Γλώσσα Download or Run Tips
Αγγλικά All English Download Run now Vector Addition: Equations
Βασκικα All Euskara Download Run now Bektore-batuketa: ekuazioak
Βιετναμέζικα All Tiếng Việt Download Run now Cộng Vector: phương trình
Βοσνιακά All Bosanski Download Run now Sabiranje vektora: Jednačine
Γαλλικά All français Download Run now Addition de Vecteurs: Equations 
Γερμανικά All Deutsch Download Run now Vektor Addition: Gleichungen
Δανικά All Dansk Download Run now Vektor-addition: Ligninger
Ιαπωνικά All 日本語 Download Run now ベクトル加算:方程式
Ισπανικά All español Download Run now Adición de Vectores: Ecuaciones
Ισπανικά (Μεξικό) All español (México) Download Run now Adición de Vectores: Ecuaciones
Ισπανικά (Περού) All español (Perú) Download Run now Adición de Vectores: Ecuaciones
Ιταλικά All italiano Download Run now Somma vettoriale: equazioni
Καζάχικα All Kazakh Download Run now Векторларды қосу: Теңдеулер
Κινέζικα - Απλά All 中文 (中国) Download Run now 向量的和:等式
Κινέζικα - Παραδοσιακά All 中文 (台灣) Download Run now Vector Addition: Equations_向量加法:方程式
Κορεάτικα All 한국어 Download Run now 벡터 더하기: 방정식
Κροατικά All hrvatski Download Run now Zbrajanje vektora: jednadžbe
Μογγολικά All Монгол (Монгол) Download Run now Векторын Нийлбэр: Томъёо
Ολλανδικά All Nederlands Download Run now Optellen van vectoren: vergelijkingen
Ουγγρικά All magyar Download Run now Vektorösszeadás: egyenletek
Ουκρανικά All українська Download Run now Додавання векторів. Рівняння
Περσικά All فارسی Download Run now جمع بردار: معادلات
Πολωνικά All polski Download Run now Dodawanie wektorów: równania
Πορτογαλικά Βραζιλίας All português (Brasil) Download Run now Adição de Vetores: Equações
Ρωσικά All русский Download Run now Сложение векторов: Уравнения
Σέρβικα All Српски Download Run now Сабирање вектора: Једначине
Σλοβάκικα All Slovenčina Download Run now Skladanie vektorov: rovnice
Τουρκικά All Türkçe Download Run now Vektör Ekleme: Denklemler

The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 12+ Safari
iPad compatible sims

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Ομάδα σχεδίασης Βιβλιοθήκες τρίτων Ευχαριστίες στους
  • Brandon Li (developer)
  • Chris Malley (developer)
  • Martin Veillette (developer)
  • Amy Rouinfar (lead designer)
  • Michael Dubson (original designer)
  • Diana López Tavares
  • Amanda McGarry
  • Ariel Paul
  • Kathy Perkins
  • almond-0.2.9.js
  • base64-js-1.2.0.js
  • FileSaver-b8054a2.js
  • font-awesome-4.5.0
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  • lodash-4.17.4.js
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  • seedrandom-2.4.2.js
  • text-2.0.12.js
  • TextEncoderLite-3c9f6f0.js