lightbulb Key Concepts

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1. Definition

A vector is a quantity that has both magnitude and direction. It is represented by a directed line segment.

2. Types of Vectors

• Zero Vector: Magnitude is 0; initial and terminal points coincide.
• Unit Vector: Magnitude is 1 unit. Notation: â = a / |a|.
• Co-initial Vectors: Vectors having the same initial point.
• Collinear Vectors: Vectors parallel to the same line.

3. Addition of Vectors

• Triangle Law: If two sides of a triangle represent vectors, the third side represents their sum.
• Parallelogram Law: Describes addition if vectors start from the same point.