Vectors and Transformations

What is a vector?

• A vector is a quantity that has both magnitude (size) and direction.
• Vectors are commonly represented by arrows, where the length of the arrow represents the magnitude and the direction of the arrow represents the direction of the vector.

Properties of vectors

• Vectors can be added, subtracted, and multiplied by a scalar (a number).
• The zero vector has a magnitude of 0 and no specific direction.

Exam tips

• Be able to represent vectors using arrow notation and describe their properties.
• Understand how to perform basic vector operations such as addition and scalar multiplication.