This Year 12 vectors in two dimensions quiz has 10 short questions for pupils aged 16-17. Type your answer, check it straight away and read the explanation when you get one wrong.
Year 12 vectors in two dimensions quiz: the 10 questions
- Magnitude of \(\begin{pmatrix}3\\4\end{pmatrix}\)?Pythagoras.
- Is \(2\mathbf a\) parallel to \(\mathbf a\)?Scalar multiple.
- \(\overrightarrow{AB}\) in terms of \(\mathbf a\) and \(\mathbf b\)?End minus start.
- Midpoint of position vectors \(\mathbf a\) and \(\mathbf b\)?Average.
- Unit vector in direction of \(\begin{pmatrix}0\\5\end{pmatrix}\)?Divide by 5.
- Magnitude of \(\mathbf i+\mathbf j\)?\(\sqrt{1+1}\).
- \(-\begin{pmatrix}2\\-3\end{pmatrix}=\)?Change signs.
- What shape do \(\mathbf a\), \(\mathbf b\) and \(\mathbf a+\mathbf b\) make?Triangle law.
- What is a vector with magnitude 1 called?Definition.
- \(\begin{pmatrix}1\\2\end{pmatrix}+\begin{pmatrix}3\\4\end{pmatrix}\)?Add components.
How to use this Year 12 vectors in two dimensions quiz
First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the vectors in two dimensions lesson and try again later. After that, try the multiple choice questions or the vectors in two dimensions worksheet.
Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.


















