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 7 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and 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)
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.