
Physics deals with a great many quantities that have both size and direction, and it needs a special mathematical language—the language of vectors—to describe those quantities. This language is also used in engineering and the other sciences. In this course you will learn thefollowing
Definition of vectors: Why vector has direction?
Vector notations
Condition for equal vectors
Types of vector
Free vector. Sliding Vector, Bound vector
Vector algebra
Graphical method
Adding/ subtracting vectors using triangle law
Adding/ subtracting vectors using parallelogram law
Adding/ subtracting vectors using polgon law
Limitation Of graphical method
Analytical Method
Adding/ subtracting vectors using cosine law.
Limitation of cosine law.
What is component of a vector? [Resolving a vector]
Writing vector in a component form
Finding magnitude and direction of vector given in component form.
Component method to find resultant
Unit vectors and Vector in three dimension.
Multiplication of vectors.
Scalar multiplied to a vector
Scalar product or Dot product
Application of Dot product
To find angle between two vectors
To prove vectors are perpendicular to each other
To find component of a vector
Cross product
Application of cross product
To prove vectors are parallel
To find area
We will discuss many problems for better comprehension of the topic.