Syllabus concepts to know

• Concept of a vector; position vectors; displacement vectors. (HL)
• Representation of vectors using directed line segments. (HL)
• Base vectors i, j, k. (HL)
• Components of a vector: v1 v = v2 = v1i + v2 j + v3k. v3 Algebraic and geometric approaches to the following: (HL)
• the sum and difference of two vectors (HL)
• the zero vector 0, the vector −v (HL)
• multiplication by a scalar, kv, parallel vectors (HL)
• magnitude of a vector, |v|; unit vectors, (HL)
• position vectors OA = a, OB = b (HL)
• displacement vector AB = b − a Proofs of geometrical properties using vectors. (HL)