Column Representations of Vectors

By the end of this unit, students will be able to:

1. understand that column vectors can represent the position of an object in three-dimensional space. Each component of the vector corresponds to the object’s coordinates along the x, y, and z axes;
2. understand the relationship between column vectors and transformations such as translations, rotations, and scalings in mathematics and computer graphics.

Curriculum Alignment: Key Stage 4: Geometry and Measures

• describe translations as 2D vectors
• apply addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectors; {use vectors to construct geometric arguments and proofs}