Position Vectors (AQA A-Level Mathematics): Quizzes

📚Quizzes
Position Vectors
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What does a position vector represent?

Position of a point relative to origin

If point PP is at (5,7)(5, 7), what is the position vector OP\mathbf{OP}?

(57)\begin{pmatrix} 5 \\ 7 \end{pmatrix}

What is the position vector for point Q(3,2,6)Q(3, -2, 6) in 3D?

(326)\begin{pmatrix} 3 \\ -2 \\ 6 \end{pmatrix}

If a\mathbf{a} and b\mathbf{b} are position vectors of AA and BB, what is AB\mathbf{AB}?

ba\mathbf{b} - \mathbf{a}

What is the magnitude of r=(34)\mathbf{r} = \begin{pmatrix} 3 \\ 4 \end{pmatrix}?

55

What is r|\mathbf{r}| for r=(221)\mathbf{r} = \begin{pmatrix} 2 \\ 2 \\ 1 \end{pmatrix}?

33

How is the direction of a position vector found?

Divide by its magnitude

When are three position vectors (points) collinear?

When they lie on the same straight line

If BC=8×AB\overrightarrow{BC} = 8 \times \overrightarrow{AB}, are AA, BB, CC collinear?

Yes, they are parallel and share BB

What does the change in position vector over time give?

Velocity vector

Explore AQA A-Level Mathematics Revision Notes by Topics

Explore AQA A-Level Mathematics Model Answers by Topics

Explore AQA A-Level Mathematics Flashcards by Topics

Explore AQA A-Level Mathematics Exam Questions by Topics

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.