← Maths syllabus

SingaporeMaths

Coordinate Geometry and Vectors

4 dot points across 4 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do we work with the equation of a straight line in the coordinate plane?

Find the equation of a straight line from given conditions, and use gradients to test for parallel and perpendicular lines
A focused answer to the O-Level E-Maths outcome on the straight line in coordinate geometry. Finding a line's equation from points or a point and gradient, and the gradient conditions for parallel and perpendicular lines.
8 min answer →

How do we find the length, midpoint and gradient of a line segment between two points?

Calculate the distance between two points, the midpoint of a segment, and the gradient, and apply them to geometric problems
A focused answer to the O-Level E-Maths outcome on distance, midpoint and gradient. The distance formula from Pythagoras, the midpoint formula, the gradient between two points, and their use in geometry.
8 min answer →

How do position vectors and the route method let us prove geometric facts?

Use position vectors and the relationship between points to express vectors, and apply parallel and ratio properties in geometry
A focused answer to the O-Level E-Maths outcome on vector geometry. Position vectors, expressing one vector via a route through others, the parallel condition, and using vectors to prove collinearity and ratios.
9 min answer →

What is a vector, and how do we add, subtract and scale vectors in two dimensions?

Represent vectors in column form, add and subtract them and multiply by a scalar, and find the magnitude of a vector
A focused answer to the O-Level E-Maths outcome on two-dimensional vectors. Column-vector notation, addition and subtraction, scalar multiplication, and the magnitude of a vector.
8 min answer →