Practice | IGCSE Math

Cambridge IGCSE 0580 Mathematics

Question
In the diagram, $\overrightarrow{OA} = \mathbf{a}$ and $\overrightarrow{OB} = \mathbf{b}$. $AK : KB = 2 : 1$ and $OK = KC$. Find $\overrightarrow{AC}$ in terms of $\mathbf{a}$ and $\mathbf{b}$. Give your answer in its simplest form.
O A B C K a b NOT TO SCALE
[4 marks]
Preview

Tap to take a photo or choose an image

JPG or PNG accepted
Write with Apple Pencil on iPad (or finger / mouse) — the AI reads your working and grades it.
Type your answer
⌨ Math input▾
Real past-paper question · Cambridge 0580 · Oct/Nov 2024 · Paper 23 · Q26

Grading your answer... please wait

Real past-paper question · Cambridge 0580 · Oct/Nov 2024 · Paper 23 · Q26

🔗 Foundation Knowledge Gap Detected

This question requires understanding from these prerequisite chapters. Strengthen your foundations to improve your score.

Chapter 1
Straight-Line Graphs
Important
0%
Not started
Go to Ch.1 — Practice Foundations →
Chapter 1
Pythagoras and Right-Angled Trigonometry
Important
0%
Not started
Go to Ch.1 — Practice Foundations →
Try it free — the AI marks 3 answers a day. A free account marks 30 a day. Sign up free →
📖 Input mode Study the worked solution, then try one like it. Revealed questions aren't counted. Back to practice mode
ORBIT RAISED // LEVEL UP

Level Up!

Congratulations on your progress!