Coordinates and vectors

Build and connect the representations and methods in coordinates and vectors.

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Build and connect the representations and methods in coordinates and vectors.

Learning goals

Syllabus statements covered

finding the gradient of a straight line given the coordinates of two points on it • finding the length of a line segment given the coordinates of its end points • interpreting and finding the equation of a straight line graph in the form y = mx + c • geometric problems involving the use of coordinates
use of column-vector notation (x, y), vectors AB and a, and magnitudes |AB| and |a| • vector as a directed line segment • translation by a vector • position vectors • magnitude √(x² + y²) • sum and difference of vectors to express given vectors in terms of two coplanar vectors • scalar multiplication • geometric problems using vectors
finding the gradient of a straight line given the coordinates of two points on it
finding the length of a line segment given the coordinates of its end points
interpreting and finding the equation of a straight line graph in the form y = mx + c
geometric problems involving the use of coordinates
use of notations: column vector (x, y), vector AB, vector a, magnitude |AB| and |a|
representing a vector as a directed line segment
translation by a vector
position vectors
magnitude of a column vector (x, y) as √(x² + y²)
use of sum and difference of two vectors to express given vectors in terms of two coplanar vectors
multiplication of a vector by a scalar
geometric problems involving the use of vectors

Work through them in order.

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