Chapter Overview
The chapter 'Vector Algebra' introduces students to the concept of vectors and their operations. It includes vector addition, subtraction, scalar multiplication, dot (scalar) product, and cross (vector) product. Vectors are essential in representing quantities that have both magnitude and direction, and this chapter lays the foundation for their use in geometry, physics, engineering, and computer science.
Important Keywords
- Vector: A quantity with both magnitude and direction.
- Position Vector: A vector that represents the position of a point with respect to the origin.
- Zero Vector: A vector with zero magnitude and no direction.
- Unit Vector: A vector with a magnitude of one.
- Collinear Vectors: Vectors lying on the same or parallel lines.
- Dot Product: Scalar product of two vectors, resulting in a scalar quantity.
- Cross Product: Vector product of two vectors, resulting in a vector perpendicular to both.
Detailed Notes
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