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

Use multiplication by a scalar of a vector in Cartesian form.

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Use a vector representing a section of a line segment, including the midpoint of a line segment.

Use scalar and vector projections of vectors. scalar projection of 𝒂 on 𝒃: |𝒂| cos(𝜃) = 𝒂 ⋅ 𝒃̂ vector projection of 𝒂 on 𝒃: |𝒂| cos(𝜃) 𝒃̂ = (𝒂 ⋅ 𝒃̂)𝒃̂ = (𝒂⋅𝒃 𝒃⋅𝒃) 𝒃

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