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FP2Inequalities, Sequences and Series, Complex numbers, 1st Order Differential Equations, 2nd Order Differential Equations, Maclaurin and Taylor Series, Polar Coordinates, Summary
M2Kinematics, Centres of mass, Work and energy, Collisions, Statics, Summary
M3Further Dynamics, Work and Energy, Kinematics, Centres of Mass, Motion in a circle, Summary
S1Notation, Statistical models, Summarising data, Probability, Correlation and Regression, Discrete Random Variables, The Normal Distribution, Summary
S2The Binomial Distribution, The Poisson Distribution, Continuous Random Variables, Continuous Distributions, Hypothesis tests, Combinations of random variables, Summary
S3Combinations of random variables, Sampling, Estimation, Hypothesis tests, Goodness of fit, Correlation and regression, Summary
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.
Software/Applets used on this page
This page uses jsMath You can get a better display of the maths by downloading special TeX fonts from jsMath. In the meantime, we will do the best we can with the fonts you have, but it may not be pretty and some equations may not be rendered correctly.
Glossary
magnitude
A measure of the size of a mathematical object
union
The union of two sets A and B is the set containing all the elements of A and B.
vector
A mathematical object with magnitude and direction.