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Year 12 Maths Extension 2 (2027) Vectors

Applications of the Dot Product (Projections)

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Question 1
183515
Resolve \(\mathbf{a} = \begin{pmatrix} 3 \\ 4 \end{pmatrix}\) into components parallel and perpendicular to \(\mathbf{b} = \begin{pmatrix} 1 \\ 0 \end{pmatrix}\).
Parallel (3,0); perpendicular (0,4).

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