University vectors and systems of linear equations quiz to download as PDF

This University vectors and systems of linear equations quiz has 10 short questions for pupils aged 18-19. Type your answer, check it straight away and read the explanation when you get one wrong.

University vectors and systems of linear equations quiz: the 10 questions

\((1,2)\cdot(3,4)\)?
\(|(2,3,6)|\)?
\(\mathbf a\times\mathbf a\)?
Number of free parameters if rank is 2 with 4 unknowns (consistent)?
Solve \(x+y=3\), \(x-y=1\): x?
Can a linear system have exactly two solutions?
Normal vector of \(2x-3y+z=5\)?
\(\mathbf a\cdot\mathbf b=|\mathbf a||\mathbf b|\cos\theta\): what is \(\theta\) if the dot product is positive and vectors are unit and equal?
Name the method that reduces to echelon form.
Is rank \(\le\) number of rows?

How to use this University vectors and systems of linear equations 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 and systems of linear equations lesson and try again later. After that, try the multiple choice questions or the vectors and systems of linear equations 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.