Geometry & MeasuresDeep Dive

Method: Finding Magnitude

Part of Vectors (Basics) — GCSE Mathematics

This deep dive covers Method: Finding Magnitude 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 4 of 6 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 4 of 6

Practice

12 questions

Recall

5 flashcards

Method: Finding Magnitude

1Write vector in component form: (x, y)

2Square each component: x² and y²

3Add the squares: x² + y²

4Take square root: √(x² + y²)

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.

Vector Operations Worked Example: Vector Addition Direction and Distance Vector Notation

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 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.

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Vector Operations

Worked Example: Vector Addition