Vector geometry and proof
Pages
Routes around a figure
Writing the path between labelled points in terms of a and b.
Fractions of a vector
The vector to a midpoint or ratio point on a segment.
Parallel vectors
Two vectors are parallel exactly when one is a scalar multiple of the other.
Collinear points
Proving three points lie on one straight line by showing two vectors parallel.
Vector proofs
Setting out a complete vector argument.
Practice
Practice
Routes around a figure
Writing the path between labelled points in terms of a and b.
PracticeFractions of a vector
The vector to a midpoint or ratio point on a segment.
PracticeParallel vectors
Two vectors are parallel exactly when one is a scalar multiple of the other.
PracticeCollinear points
Proving three points lie on one straight line by showing two vectors parallel.
PracticeVector geometry review
Routes in a and b, midpoints, parallel vectors and collinearity.