Further Maths further vectors quiz to download as PDF

This Further Maths further vectors quiz has 10 short questions for pupils aged 16-18. Type your answer, check it straight away and read the explanation when you get one wrong.

Further Maths further vectors quiz: the 10 questions

Dot product of \((1,2,3)\) and \((0,1,-1)\)?
Cross product \(\mathbf j\times\mathbf k\)?
Direction vector of line \(\mathbf r=(1,0,2)+t(3,-1,4)\)?
Normal vector to \(x-2y+4z=5\)?
Modulus of \((2,3,6)\)?
Are \((1,1,0)\) and \((1,-1,5)\) perpendicular? (yes/no)
Distance from origin to plane \(x+2y+2z=6\)?
If \(\mathbf a\times\mathbf b=\mathbf 0\), what is the relation of \(\mathbf a\) and \(\mathbf b\)?
Skew lines: do they intersect? (yes/no)
Volume of tetrahedron if scalar triple product is 12?

How to use this Further Maths further vectors 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 further vectors lesson and try again later. After that, try the multiple choice questions or the further vectors 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.