Year 12 Maths Extension 1 (2027)
Vectors
Projection of a vector & perpendicular component
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Questions
Question 1
183009
The vector projection of \(\mathbf{a}\) onto \(\mathbf{b}\), written \(\operatorname{proj}_{\mathbf{b}}\mathbf{a}\), is:
\(\dfrac{\mathbf{a}\cdot\mathbf{b}}{|\mathbf{b}|^2}\mathbf{b}\)
\(\dfrac{\mathbf{a}\cdot\mathbf{b}}{|\mathbf{a}|^2}\mathbf{a}\)
\((\mathbf{a}\cdot\mathbf{b})\mathbf{b}\)
\(\mathbf{a}\cdot\mathbf{b}\)
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