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Year 12 Maths Extension 1 Vectors

Projection of Vectors

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Question 1
12291

Given that \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{a} = 4\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{i} - 2\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{j} \) and \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{b} = 3\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{i} + 5\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{j} \) then the scalar projection of \({\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{a} }\) onto \({\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{b} }\) is?

\(\dfrac{2}{{\sqrt {34} }}\)

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