• 1.4.1 Understand and explain the difference between scalar and vector quantities and give examples of each.
• 1.4.3 Represent a vector as two perpendicular components.

• Be able to explain in English what distinguishes a scalar from a vector.
• Describe, in English, how to resolve a vector into its perpendicular components.

Use your flashcard plugin here (e.g., [flashcards id=»scalars_vectors_terms»]).

• Scalar: A quantity that has only magnitude.
  
  Translation

  Скаляр — тек шамасы бар шама
• Vector: A quantity that has both magnitude and direction.
  
  Translation

  Вектор — шамасы мен бағыты бар шама
• Magnitude: The size or amount of a quantity.
  
  Translation

  Величина — шама
• Direction: The line or path along which something moves or faces.
  
  Translation

  Направление — бағыт
• Component: One of two perpendicular vectors whose sum is the original vector.
  
  Translation

  Компонента — тік бұрышты екі вектордың бірі

In physics, quantities are classified as scalars or vectors. A
**_scalar_**величина has magnitude only, whereas a
**_vector_**направление has both magnitude and direction.

Any vector 𝐕 can be resolved into two perpendicular components, 𝐕_x and 𝐕_y, via:

𝐕
=
𝐕x
+
𝐕y

Use examples from Cambridge AS & A Level Physics to illustrate systematic practice.

1. Match each term to its correct definition.
2. Fill in the blanks: “A _____ has only magnitude.”
3. List three examples of vector quantities.

• SaveMyExams – Scalars & Vectors Revision
• PhysicsAndMathTutors – Vectors Worksheet
• Additional YouTube: Scalars vs. Vectors

Example 1: Resolve a 10 N vector at 30° above the horizontal.

Explore vector addition in this interactive simulation:

Collaborate on these interactive quizzes:

1. Define scalar and give two examples.
2. Define vector and give two examples.
3. Resolve a 15 m/s vector at 45° into components (show MathML).
4. Explain the difference between precision and accuracy in measurement.
5. Sketch and label a vector and its components.

• SaveMyExams
• PhysicsAndMathTutors.com
• YouTube – Scalars & Vectors

• What concept was most challenging today?
• How might you use vector resolution in a real-world context?
• Which examples helped your understanding the most?