|| COMPONENTS OF A VECTOR IN TWO DIMENSIONS || BY PROF. SK SINHA ||

COMPONENTS OF A VECTOR IN TWO DIMENSIONS :
(INTRODUCTION)
One way to represent a two-dimensional vector is with vector components, which simply tell you how far the vector goes in each direction. ... For a two-dimensional vector, the magnitude is equal to the length of the hypotenuse of a triangle in which the sides are the x- and y-components.
OR
Two-Dimensional Vectors:
One way to represent a two-dimensional vector is with vector components, which simply tell you how far the vector goes in each direction. For example, a vector with an x-component of 4 and a y-component of 3 that started at the origin would end at coordinates (4,3).


The magnitude of a vector is the total amount of the quantity represented by the vector. For a two-dimensional vector, the magnitude is equal to the length of the hypotenuse of a triangle in which the sides are the x- and y-components. Therefore, if you know the two components of the vector and want to find the magnitude, you can use the Pythagorean Theorem. You can also use the tangent function to find the angle that the vector makes with the x-axis. For the vector shown here, the magnitude would be 5, and the angle it makes with the x-axis would be 37 degrees.


What is a component of a two dimensional vector?
A vector is defined by its magnitude and its orientation with respect to a set of coordinates. It is often useful in analyzing vectors to break them into their component parts. For two-dimensional vectors, these components are horizontal and vertical.

URL OF LECTURE NO. 19-18-17-16-15-14-13-12-11-10-9-8-7-6-5-4-3-2-1

(VECTOR ALGEBRA)

19. || MOST IMPORTANT QUESTION#6 FROM POSITION VECTOR
|| BY PROF. SK SINHA ||


18. || MOST IMPORTANT QUESTION#5 FROM POSITION VECTOR

|| BY PROF. SK SINHA ||



17. || MOST IMPORTANT QUESTION#4 FROM POSITION VECTOR

|| BY PROF. SK SINHA ||




16. || MOST IMPORTANT QUESTION#3 FROM POSITION VECTOR

|| BY PROF. SK SINHA ||




15. || MOST IMPORTANT QUESTION#2 FROM POSITION VECTOR

|| BY PROF. SK SINHA ||




14. || MOST IMPORTANT QUESTIONS#1 FROM POSITION VECTOR

|| BY PROF. SK SINHA ||




13. || SECTION FORMULA IN VECTOR || BY PROF. SK SINHA ||



12. || POSITION VECTOR || BY PROF. SK SINHA ||




11. || QUESTION#3 FROM ADDITION MULTIPLICATION AND

SUBTRACTION OF VECTORS || BY PROF. SK SINHA ||




10. || QUESTION#2 FROM ADDITION MULTIPLICATION AND

SUBTRACTION OF VECTORS || BY PROF. SK SINHA ||




9. || QUESTION#2 FROM ADDITION MULTIPLICATION AND

SUBTRACTION OF VECTORS || BY PROF. SK SINHA ||




8. || QUESTION#1 FROM ADDITION MULTIPLICATION AND

SUBTRACTION OF VECTORS || BY PROF. SK SINHA ||




7. || MULTIPLICATION OF VECTOR BY A SCALAR || BY SK SINHA ||




6. || DIFFERENCE OF TWO VECTORS || BY SK SINHA ||




5. || ADDITION OF TWO VECTORS || BY SK SINHA ||




4. || PARALLELOGRAM LAW OF VECTOR ADDITION

|| BY SK SINHA ||




3. || TRIANGLE LAW OF VECTOR ADDITION || BY SK SINHA ||




2. || TYPES OF THE VECTORS || BY PROF. SK SINHA ||




1. || BASICS OF VECTORS || BY PROF. SK SINHA ||




NOTE: This course video is for those students who are not regular in the class due to their own reasons. This video is related to (MATHEMATICS-I, MATHEMATICS-II MATHEMATICS-III BE/B.TECH.), BA./ B.SC. B.COM, BBA, BCA, M.SC. MATHEMATICS, IIT JEE, CSIR-NET, GATE etc.... for Haryana’s university K.U.K. M.D.U. C.D.L.U. G.J.U. DCRUST and others technical University of India.


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