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Year 12 Maths Extension 2 Further Work With Vectors

The Dot Product

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Question 1
16911

Find the value of \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{a} \)\( \cdot \)\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{b} \) given \(\left| {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{a} } \right| = 3\), \(\left| {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{b} } \right| = 4\) and the angle between \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{a} \) and \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{b} \) is \(60^\circ \)

\(6\)

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