際際滷

際際滷Share a Scribd company logo

Vector Analysis.pdf

E
Engineering Funda

This document discusses vector laws and their basics. It defines vectors and scalars, and how vectors are represented by their magnitude, direction, and unit. It then explains the triangular law for adding two vectors by resolving them into their x and y components. The parallelogram law and polygon law are also introduced as ways to find the resultant of multiple vectors using geometric constructions.

1 of 8
Download to read offline
By Prof. Hitesh Dholakiya Basics of Vector, Triangular, Parallelogram & polygon law Electromagnetics E n g i n e e r i n g F u n d a Engineering Funda Android App Electromagnetic Theory YT Playlist
Basics of Vector Triangular Law Resultant of two vector Parallelogram Law Outlines of Session Polygon Law E n g i n e e r i n g F u n d a Engineering Funda Android App Electromagnetic Theory YT Playlist
Basics of Vector Difference between vector and scalar Scalar Vector 1. The quantities which has magnitude and direction are vector quantities 1. The quantities which has only magnitude, and no direction, are scalar quantities 2. The vector quantities are more than one dimensional quantities 2. The scalar quantities are one dimensional quantities 3. The vector can not be divided with another vector quantities 3. The scalar can be divided with another scalar quantities 4. Number (Magnitude), direction (Unit vector) and unit is required to represent vector quantities 4. Number (Magnitude) and unit is only required to represent scalar quantities 5. E. g. Velocity, Force 5. E. g. Mass, Time E n g i n e e r i n g F u n d a Engineering Funda Android App Electromagnetic Theory YT Playlist
Basics of Vector Representation of vector Magnitude of vector Unit vector 圖 = 基 童 + 基 童 + 基 犒 圖 = (基, 基, 基) = 圖 = 基 2 + 基 2 + 基 2 犒 = 圖 圖 E n g i n e e r i n g F u n d a
Law of Triangle 圖 圖 圖 圖 E n g i n e e r i n g F u n d a
Resultant of two vector 圖 圖 As Pythagoras theorem 2 = ( + cos )2+( sin )2 2 = 2 + 2基 cos + ( cos )2+( sin )2 2 = 2 + 2基 cos + 2 E n g i n e e r i n g F u n d a
Law of Parallelogram 圖 圖 圖 E n g i n e e r i n g F u n d a
Law of Polygon 圖 圖 E n g i n e e r i n g F u n d a

More Related Content

Vector Analysis.pdf

  • 1. By Prof. Hitesh Dholakiya Basics of Vector, Triangular, Parallelogram & polygon law Electromagnetics E n g i n e e r i n g F u n d a Engineering Funda Android App Electromagnetic Theory YT Playlist
  • 2. Basics of Vector Triangular Law Resultant of two vector Parallelogram Law Outlines of Session Polygon Law E n g i n e e r i n g F u n d a Engineering Funda Android App Electromagnetic Theory YT Playlist
  • 3. Basics of Vector Difference between vector and scalar Scalar Vector 1. The quantities which has magnitude and direction are vector quantities 1. The quantities which has only magnitude, and no direction, are scalar quantities 2. The vector quantities are more than one dimensional quantities 2. The scalar quantities are one dimensional quantities 3. The vector can not be divided with another vector quantities 3. The scalar can be divided with another scalar quantities 4. Number (Magnitude), direction (Unit vector) and unit is required to represent vector quantities 4. Number (Magnitude) and unit is only required to represent scalar quantities 5. E. g. Velocity, Force 5. E. g. Mass, Time E n g i n e e r i n g F u n d a Engineering Funda Android App Electromagnetic Theory YT Playlist
  • 4. Basics of Vector Representation of vector Magnitude of vector Unit vector 圖 = 基 童 + 基 童 + 基 犒 圖 = (基, 基, 基) = 圖 = 基 2 + 基 2 + 基 2 犒 = 圖 圖 E n g i n e e r i n g F u n d a
  • 6. Resultant of two vector 圖 圖 As Pythagoras theorem 2 = ( + cos )2+( sin )2 2 = 2 + 2基 cos + ( cos )2+( sin )2 2 = 2 + 2基 cos + 2 E n g i n e e r i n g F u n d a