Vectors in 2D

Vectors

We will learn about two-dimensional vectors which are quantities that have both magnitude and direction.

Learning Objectives:

  • Definition of a vector and its component form
  • Equality of two vectors
  • Vector arithmetic and properties
    • Vector Addition
    • Scalar Multiplication
  • Magnitude and direction of a vector, and their properties
  • Unit vector
  • Principal unit vector in the direction of positive x and y axes
  • Writing a vector in different forms
    • component form
    • principal unit vector form
    • magnitude and cosine and sine functions
  • Application to equilibrium of forces acting on a body