Specialist Mathematics · Unit 1 · Algebra of vectors in two dimensions · Algebra of vectors in two dimensions

Define and use multiplication by a scalar of a vector in Cartesian form.

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Define and use a vector representing a section of a line segment, including the midpoint of a line segment.

Define and 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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