Vectors 01 | Basics of Physics | Class 11 &12 | AP & TS Boards
null
Click
Use
to move to a smaller summary and to move to a larger one
Introduction to Vectors in Physics
- Vectors are physical quantities that have both magnitude and direction.
- Vectors obey the vector law of addition, meaning they can be added or subtracted.
- Scalars, on the other hand, are physical quantities that have only magnitude.
- Examples of vectors include electric current, energy, and distance.
- Representation of vectors includes magnitude (length) and direction (represented by a arrowhead).
- Vectors are essential in understanding the basics of physics and are prerequisites for topics such as trigonometry and differentiation integration.
- In this lesson, we will learn about the basics of vectors, types of vectors, and how to find the angle between two vectors.
Types of Vectors
- Equal vectors have the same direction and magnitude.
- Collinear vectors lie along the same line or parallel lines.
- Co-initial vectors have the same starting point.
- Zero vector has zero magnitude and undefined direction.
- Unit vector has a magnitude of 1 and represents a specific direction.
Types of Vectors and Their Properties
- 5 Newton's vector is an equal vector in magnitude and direction.
- The negative of a vector has the same magnitude but opposite direction.
- Parallel vectors are in the same direction and have equal magnitudes.
- Anti-parallel vectors are in opposite directions but may not have the same magnitude.
- Unit vectors have a magnitude of 1 and are used to indicate direction.
- The purpose of a unit vector is to provide direction.
- Unit vectors are represented as "a cap" and are calculated by dividing the vector by its magnitude.
- Orthogonal vectors are perpendicular to each other.
Basics of Vectors Summary
- Vectors are quantities that have magnitude and direction.
- Examples of vectors include displacement, velocity, and force.
- Vectors can be represented using arrow notation, where the length represents magnitude and the direction is indicated by the arrow.
- The direction of a vector can be determined by using angles or by specifying its components in x, y, and z directions.
- There are different types of vectors, including orthogonal (perpendicular), collinear (along the same path), and coplanar (lying in the same plane) vectors.
- Two vectors are always coplanar, but three vectors may or may not be coplanar.
Basics of Vectors and Types of Vectors
- Vectors have both magnitude and direction.
- Scalars only have magnitude.
- Examples of vectors include electric current, energy, and distance.
- Vectors can be represented by magnitude and direction (arrowhead).
- Vectors are essential for understanding physics and related topics like trigonometry and integration.
- Equal vectors have the same magnitude and direction.
- Collinear vectors lie along the same line or parallel lines.
- Co-initial vectors have the same starting point.
- Zero vector has zero magnitude and undefined direction.
- Unit vector has a magnitude of 1 and represents a specific direction.
- Negative of a vector has the same magnitude but opposite direction.