Specialist Mathematics · Unit 3 · Vectors in two and three dimensions · Algebra of vectors in three dimensions

Use vectors to prove geometric results in two dimensions (other than those listed in Unit 2 Topic 3) and in three dimensions. Specialist Mathematics 2025 v1.4

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Use the scalar (dot) product. 𝒂 ⋅ 𝒃 = |𝒂||𝒃| cos(𝜃) ( 𝑎1 𝑎2 𝑎3) ⋅ ( 𝑏1 𝑏2 𝑏3) = 𝑎1 𝑏1 + 𝑎2 𝑏2 + 𝑎3 𝑏3
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