Explore Vectors
, Maths Expert
Premium Curriculum
- 11 sections
- 29 Topics
- 09 H 57 Mins
- 01:28
Intro Video
- 24:51
Introduction to Vectors Different Types of Vectors - 17:42 Solution of Vector in 2d & 3d Plane
- 10:13 Triangle Law of Addition of Vectors
- 12:16 Parallelogram Law of Addition
- 04:52 Properties of Addition & Subtraction of Vectors
- 14:11 Resultant of Vectors
- 20:48 Inequalities of Vectors
- 16:56 Coordinate Geometry Formulas in Vector Notation
- 27:34 Problems and Solutions
- 15:15 Collinear & Non Collinear Vectors
- 13:41 Coplanar Vector & Non Coplanar Vectors
- 15:15 Collinearity and Planarity of Vectors
- 20:39 Problems and Solutions
Course Highlights
Certificate of completion- Integrated projects and quizzes
- Additional study materials
- Learn anytime, anywhere
- Completely self-paced
About this course
Intermediate
36 views
We all know how important vectors are as we have all used it in free body diagram analysis in mechanics while doing newtons law of motion. In this chapter we will try and understand vectors from a mathematical aspect and also try and understand what are the different uses of vectors such as finding the area of a parallelogram finding the volume of a...
Skills you will learn
- Addition of vectors
- Angle between line and plane
- Angle between lines
- Area of traingle
- Area or parallelogram
- Collinear Vectors
- Coplanar lines
- Coplanar vectors
- Cross product of vectors
- Direction
- Distance between parallel lines
- Dot product
- Equation of line in vector form
- Equation of plane in vector notation
- Family of planes
- Fixed vector
- Free vector
- Linearly dependent vectors
- Linearly independent vectors
- Magnitude
- Maths
- Null vector
- Parallel lines
- Parallel planes
- Projection of vector
- Properties of addition of vectors
- Resultant of vectors
- Scalar quantity
- Scalar triple product
- Skew lines
- Subtraction of vectors
- Traingle inequality
- Unit vector
- Vector quantity
- Vector triple product
- Volume of parellelopiped
Who should take this course?
- High school and higher secondary (Class 11, 12) students
- Students preparing for JEE.
- Any other entrance exam aspirants looking to gain a deeper understanding of the concepts across the globe.
What will you learn in this course?
- Different types of vectors
- Collinearity and coplanarity of vectors
- Dot product and cross product of vectors
- Scalar and vector triple product
- Equation of line and plane in vector notation
Earn sharable certificate
You'll earn a sharable certificate upon completion of this course.
- Showcase it on your professional profiles
- Share it on social media as a proof of your skills
- Download as PDF and print it
About the tutor
Ashish Sawarkar
Premium Hello Learners! Get to know Ashish Sawarkar, tutorac academy's mathematics expert. For more than 11 years he has interacted with and taught students and he believes in a comfortable and exciting learning environment. He specializes in working with students preparing for their competitive exams... View more
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Curriculum
- 11 sections
- 29 Topics
- 09 H 57 Mins
- 01:28 Intro Video
- 24:51 Introduction to Vectors Different Types of Vectors
- 17:42 Solution of Vector in 2d & 3d Plane
- 10:13 Triangle Law of Addition of Vectors
- 12:16 Parallelogram Law of Addition
- 04:52 Properties of Addition & Subtraction of Vectors
- 14:11 Resultant of Vectors
- 20:48 Inequalities of Vectors
- 16:56 Coordinate Geometry Formulas in Vector Notation
- 27:34 Problems and Solutions
- 15:15 Collinear & Non Collinear Vectors
- 13:41 Coplanar Vector & Non Coplanar Vectors
- 15:15 Collinearity and Planarity of Vectors
- 20:39 Problems and Solutions
Course Highlights
- Certificate of completion
- Integrated projects and quizzes
- Additional study materials
- Learn anytime, anywhere
- Completely self-paced