GCSE Maths Practice: vectors

Question 8 of 10

This question teaches how to calculate the vector from point A to B.

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\( \begin{array}{l}\text{Which vector represents } \overrightarrow{AB} \text{ if } A(2,3) \text{ and } B(5,7)?\end{array} \)

Choose one option:

Subtract the coordinates of A from B component-wise: top and bottom.

To find a vector \(\overrightarrow{AB}\), subtract the coordinates of the starting point A from the coordinates of the endpoint B. For example, A(2,3) and B(5,7) gives top: 5-2=3 and bottom: 7-3=4, resulting in \(\begin{pmatrix}3\\4\end{pmatrix}\). Component-wise subtraction is essential in geometry, physics, and navigation. Visualizing vectors on a graph helps students understand direction and magnitude. Practicing multiple examples reinforces the method and builds confidence for more complex vector problems, such as adding, scaling, or subtracting vectors.