Vector Addition: Equations

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Vector Addition: Equations kuvakaappaus  Lataa  Upota
  • Equations
  • Vektorit
  • Vektorien komponentit

Sisältö

  • Equations
  • Vektorit
  • Vektorien komponentit
  • Vektorien yhteenlasku

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.

Esimerkkejä oppimistavoitteista

  • 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

Opettajan opas (pdf) sisältää PhET-tiimin vinkkejä. ( PDF ).

Teacher-Submitted Activities

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Kieli Download or Run Tips
Albania All shqip Download Run now Mbledhja me vektorë: Barazimet
Baski All Euskara Download Run now Bektore-batuketa: ekuazioak
Bosnia All Bosanski Download Run now Sabiranje vektora: Jednačine
Brasilian portugali All português (Brasil) Download Run now Adição de Vetores: Equações
Espanja All español Download Run now Adición de Vectores: Ecuaciones
Espanja (Meksiko) All español (México) Download Run now Adición de Vectores: Ecuaciones
Espanja (Peru) All español (Perú) Download Run now Adición de Vectores: Ecuaciones
Heprea All עברית Download Run now חיבור וקטורים: משוואות
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Japani All 日本語 Download Run now ベクトル加算:方程式
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Kiina - perinteinen All 中文 (台灣) Download Run now Vector Addition: Equations_向量加法:方程式
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Korea All 한국어 Download Run now 벡터 더하기: 방정식
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Kroatia All hrvatski Download Run now Zbrajanje vektora: jednadžbe
Latvia All Latviešu Download Run now Vektoru saskaitīšana: Vienādojumi
Mongoli All Монгол (Монгол) Download Run now Векторын Нийлбэр: Томъёо
Persia All فارسی Download Run now جمع بردار: معادلات
Puola All polski Download Run now Dodawanie wektorów: równania
Ranska All français Download Run now Addition de Vecteurs: Equations 
Saksa All Deutsch Download Run now Vektor Addition: Gleichungen
Serbia All Српски Download Run now Сабирање вектора: Једначине
Slovakki All Slovenčina Download Run now Skladanie vektorov: rovnice
Tanska All Dansk Download Run now Vektor-addition: Ligninger
Telugu All Telugu Download Run now సదిశల సంకలనం: సమీకరణాలు; అనువాదం: ఉడిత్యాల రమణ
Turkki All Türkçe Download Run now Vektör Ekleme: Denklemler
Ukraina All українська Download Run now Додавання векторів. Рівняння
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Venäjä All русский Download Run now Сложение векторов: Уравнения
Vietnam All Tiếng Việt Download Run now Cộng Vector: phương trình

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

Suunnitteluryhmä Kolmannen osapuolen kirjastot Kiitokset
  • 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
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