MathsNet: V - Vectors - Magnitude 4

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Page ID: 1161

V | Vectors | Vector algebra | «Magnitude 4»

The magnitude, or size, of a vector a\underline{i}+b\underline{j} in 2 dimensions is found by the formula: \sqrt{(a^2+b^2)}
The magnitude, or size, of a vector a\underline{i}+b\underline{j}+c\underline{k} in 3 dimensions is found by the formula: \sqrt{(a^2+b^2+c^2)}

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Summary/Background

The formula for the magnitude of a vector is basically Pythagoras' theorem extended to 3 dimensions.

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This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AQA A-Level (UK - Pre-2017)	C4	Vectors	Vector algebra	-
AQA A2 Maths 2017	Mechanics	Kinematics	3D Vectors	-
AQA AS Maths 2017	Mechanics	Vectors	Vector Basics	-
AQA AS/A2 Maths 2017	Mechanics	Vectors	Vector Basics	-
CBSE XII (India)	Vectors and 3-D Geometry	Vectors	Types, equal, unit, parallel, collinear	-
CCEA A-Level (NI)	C4	Vectors	Vector algebra	-
CIE A-Level (UK)	P1	Vectors	Vector algebra	-
Edexcel A-Level (UK - Pre-2017)	C4	Vectors	Vector algebra	-
Edexcel A2 Maths 2017	Pure Maths	Vectors	3D Vectors	-
Edexcel AS Maths 2017	Pure Maths	Vectors	Vector Basics	-
Edexcel AS/A2 Maths 2017	Pure Maths	Vectors	Vector Basics	-
I.B. Higher Level	4	Vectors	Vector algebra	-
I.B. Standard Level	4	Vectors	Vector algebra	-
Methods (UK)	M4	Vectors	Vector algebra	-
OCR A-Level (UK - Pre-2017)	C4	Vectors	Vector algebra	-
OCR A2 Maths 2017	Pure Maths	Vectors	3D Vectors	-
OCR AS Maths 2017	Pure Maths	Vectors	Vector Basics	-
OCR MEI A2 Maths 2017	Pure Maths	Vectors	3D Vectors	-
OCR MEI AS Maths 2017	Pure Maths	Vectors	Vector Basics	-
OCR-MEI A-Level (UK - Pre-2017)	C4	Vectors	Vector algebra	-
Pre-Calculus (US)	E1	Vectors	Vector algebra	-
Pre-U A-Level (UK)	6	Vectors	Vector algebra	-
Scottish (Highers + Advanced)	HM3	Vectors	Vector algebra	-
Scottish Highers	M3	Vectors	Vector algebra	-
Universal (all site questions)	V	Vectors	Vector algebra	-
WJEC A-Level (Wales)	C4	Vectors	Vector algebra	-