Year 13 vectors in three dimensions quiz to download as PDF

This Year 13 vectors in three dimensions quiz has 10 short questions for pupils aged 17-18. Type your answer, check it straight away and read the explanation when you get one wrong.

Year 13 vectors in three dimensions quiz: the 10 questions

Magnitude of 2i + 3j + 6k?
What is AB if A has position vector a and B has position vector b?
Midpoint of (0,0,0) and (4,6,8)?
Is 3i+6j+9k parallel to i+2j+3k? (yes or no)
Magnitude of the unit vector?
What is |i+j+k|? Give exact value.
Distance from the origin to (2,3,6)?
Vector 2i - j + 2k, what is its magnitude?
How many components has a 3D vector?
Position vector of the point (1,-2,5)?

How to use this Year 13 vectors in three 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 three dimensions lesson and try again later. After that, try the multiple choice questions or the vectors in three 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.