Edexcel IGCSE·Maths·IGCSE Higher Mathematics

Vectors & Transformations

15 min read

Column vectors, vector arithmetic and geometry proofs, and the four transformations: translation, reflection, rotation and enlargement.

Vectors

A column vector $\begin{pmatrix}x\\y\end{pmatrix}$ describes movement $x$ across and $y$ up.

Add/subtract component-wise; multiply by a scalar multiplies each component.

Magnitude

\left|\begin{pmatrix}x\\y\end{pmatrix}\right|=\sqrt{x^2+y^2}

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Edexcel IGCSE·Maths·IGCSE Higher Mathematics

15 min read

Column vectors, vector arithmetic and geometry proofs, and the four transformations: translation, reflection, rotation and enlargement.

A column vector $\begin{pmatrix}x\\y\end{pmatrix}$ describes movement $x$ across and $y$ up.

Add/subtract component-wise; multiply by a scalar multiplies each component.

Magnitude

\left|\begin{pmatrix}x\\y\end{pmatrix}\right|=\sqrt{x^2+y^2}

Create a free account to read this note in full. Every free account gets 2 complete revision notes — no card needed.