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Year 12 Maths Extension 1 (2027) Vectors

Scalar (dot) product – 2D & 3D

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Question 1
12287

The scalar product \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{a} \cdot \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{b} \) of \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{a} = 3\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{i} + 2\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{j} \) and \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{b} = - 2\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{i} + 5\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{j} \) is?

A.

11

B.

4

C.

15

D.

6

4

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