Vectors in two dimensions
Specialist Mathematics · Unit 1 — Combinatorics, proof, vectors and matrices · Vectors in the plane
Learning objectives (8)
LO-1Calculate and use a unit vector, 𝒏̂, in the plane. 𝒏̂ = 𝒏 |𝒏|LO-2Calculate the magnitude and direction of a vector. |𝒂| = |(𝑎1 𝑎2)| = √𝑎12 + 𝑎22 tan(𝜃) = 𝑦 𝑥, 𝑥 ≠ 0LO-3Convert between Cartesian form and polar form, with and without technology.LO-4Define and use unit vectors and the perpendicular unit vectors 𝒊̂ and 𝒋̂.LO-5Express a vector in Cartesian (component) form using the unit vectors 𝒊̂ and 𝒋̂.LO-6Understand and express a vector in the plane in polar form using the notation (𝑟, 𝜃).LO-7Understand and use the Cartesian form and polar form of a vector.LO-8Use ordered pair notation (𝑥, 𝑦) and column vector notation (𝑥 𝑦) to represent a position vector in two dimensions.
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