Vectors

Vectors - Multiple Representations

Geometric Vectors

Polynomials or Functions

𝑛

representations

operations

  • 𝑎 + 𝑏 =
  • 3𝑎 =

representations

  • 𝑝(𝑥) = (5)𝑥0 + (2)𝑥1 + (0)𝑥2 + (1)𝑥3
  • 𝑞(𝑥) = (1)𝑥0 + (6)𝑥1 + (4)𝑥2 + (0)𝑥3

operations

  • 𝑝(𝑥) + 𝑞(𝑥) = (6)𝑥0 + (8)𝑥1 + (4)𝑥2 + (1)𝑥3
  • 3𝑝(𝑥) = (15)𝑥0 + (6)𝑥1 + (0)𝑥2 + (3)𝑥3

representations

operations

  • 𝑎 + 𝑏 =
  • 3𝑎 =

Vectors - Comparison Properties