A:
- Points and vectors in plane and in space
- Length of a vector
- Operations with vectors – sum, scalar multiple
- Linear combination of vectors
- Linear dependence of vectors
- Line segment – center, length
- Triangle – centroid, centers of sides, lengths of sides, perimeter
B:
- Scalar product (dot product) of vectors in plane and in space
- Perpendicular vectors
- Angle of vectors
- Applications – plane shapes, solids in coordinate system
C:
- Vector product of vectors
- Area of a plane region, area of a face of a solid
- Volume of a solid (parallelepiped, pyramid, tetrahedron)
- Complex problems covering whole topic
