IB AA HL / AI HL

Vectors and 3D Geometry

Vector methods for lines, planes, angles and 3D geometry.

Vectors

Vector basics

Magnitude, direction, scalar multiples and vector addition.

Vectors

Scalar product

Use the dot product to find angles and test perpendicularity.

Vectors

Vector product and area

Use the cross product to find areas and normals.

3D Geometry

Equations of planes

Move between vector, scalar-product and Cartesian forms.

3D Geometry

Intersection of planes

Find the line of intersection of two planes.

3D Geometry

Angle between planes

Find the angle between planes using their normal vectors.