This key facts covers Vector Notation within Vectors (Basics) for GCSE Mathematics. Revise Vectors (Basics) in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 5 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 2 of 7 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Vector Notation
| Notation | Meaning | Example |
|---|---|---|
| Bold: a or a | Vector (printed) | a = (3, 4) |
| Underline: a | Vector (handwritten) | a = 3i + 4j |
| Column: (x, y) | Component form | (3, 4) or [3; 4] |
| AB with arrow | Vector from A to B | →AB = B - A |
Practice questions for Vectors (Basics)
A column vector is written as (3 / −2) (3 on top, −2 on bottom). What does this vector represent?
Explain what it means for two vectors to be parallel. Give an example of a vector that is parallel to a = (2, −3), and one that is parallel but in the opposite direction.
Quick recall flashcards
Vector Magnitude
|v| = √(x² + y²). Length of vector using Pythagoras. Always positive!
Vector Addition
Add components separately. (a,b) + (c,d) = (a+c, b+d). Represents combined movement.