Geometry & MeasuresStudy Notes

Worked Example: Vector Addition

Part of Vectors (Basics)GCSE Mathematics

This study notes covers Worked Example: Vector Addition 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 5 of 6 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 5 of 6

Practice

12 questions

Recall

5 flashcards

Worked Example: Vector Addition

If a = (3, 2) and b = (1, 4), find a + b.

Step 1 Add x-components

x: 3 + 1 = 4

Step 2 Add y-components

y: 2 + 4 = 6

Step 3 Write answer

a + b = (4, 6)

Keep building this topic

Read this section alongside the surrounding pages in Vectors (Basics). That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Vectors (Basics)

A column vector is written as (3 / −2) (3 on top, −2 on bottom). What does this vector represent?

  • A. 3 units left and 2 units up
  • B. 3 units right and 2 units down
  • C. 3 units up and 2 units right
  • D. 2 units right and 3 units up
1 markfoundation

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.

3 marksstandard

Quick Recall Flashcards

Vector Addition
Add components separately. (a,b) + (c,d) = (a+c, b+d). Represents combined movement.
Vector Magnitude
|v| = √(x² + y²). Length of vector using Pythagoras. Always positive!

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