Education Technology

Mathematics lessons for IB® Diploma Programme

Applications and Interpretation | Geometry and Trigonometry

Vectors in Component Form

Students will learn how to express a vector in component form using the unit vectors i and j

Vectors in component form

Planning and Resources

Objectives

Students will learn how to express a vector in component form using the unit vectors i and j.

Vocabulary

  • Vector
  • Components
  • Magnitude
  • Direction
  • Angle

About the Lesson

Vectors are used to represent quantities that have both magnitude and direction. There are a number of ways that 2D vectors can be represented. One of these representations involves expressing a vector r in terms of unit vectors i and j. This is known as component form and is expressed as r = ai + bj. A tns file is provided to students for this activity to allow them to become familiar with this form of vector notation.