Vector notation and arithmetic
Pages
Column vectors
A displacement written as a column vector, identical wherever it starts.
Translations as vectors
Describing a translation with a column vector.
Adding and subtracting vectors
Adding component by component.
Scalar multiples of a vector
Multiplying a vector by a number scales its length.
The magnitude of a vector
The length of a vector by Pythagoras on its two components.
Practice
Practice
Column vectors
A displacement written as a column vector, identical wherever it starts.
PracticeTranslations as vectors
Describing a translation with a column vector.
PracticeAdding and subtracting vectors
Adding component by component.
PracticeScalar multiples of a vector
Multiplying a vector by a number scales its length.
PracticeVector arithmetic review
Column vector addition, subtraction, scalar multiples and magnitude.