SECTION FORMULA IN VECTOR : (INTRODUCTION)
The concept of section formula is implemented to find the coordinates of a point dividing a line segment internally or externally in a specific ratio. ... Let us consider two points P and Q denoted by position vectors OP and OQ with respect to origin O.
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The physical quantities which have magnitude, as well as direction attached to them, are known as vectors. Position vectors simply denote the position or location of a point in the three-dimensional Cartesian system with respect to a reference origin. Let us see in the upcoming discussion how section formula can be applied to vectors. The concept of section formula is implemented to find the coordinates of a point dividing a line segment internally or externally in a specific ratio. In order to locate the position of a point in space, we require a coordinate system.
If O is taken as reference origin and A is an arbitrary point in space then the vector OA is called as the position vector of the point. Let us consider two points P and Q denoted by position vectors OP and OQ with respect to origin O.
Let us consider that the line segment connecting P and Q is divided by a point R lying on PQ. The point R can divide the line segment PQ in two ways: internally and externally.
POSITION VECTOR :
(INTRODUCTION)
A Position vector is a vector that describes position of a point in space. Often the position of such a point is nothing but the x,y, and z coordinates of the point with origin as the reference point.
In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents the position of a point P in space in relation to an arbitrary reference origin O. Usually denoted x, r, or s, it corresponds to the straight line segment from O to P.
Position vector, straight line having one end fixed to a body and the other end attached to a moving point and used to describe the position of the point relative to the body. As the point moves, the position vector will change in length or in direction or in both length and direction.
What position vector is equal to the vector from?
The magnitude of the position vector is equal to the coordinate value r of the point the position vector is pointing to! A: That's right! The magnitude of a directed distance vector is equal to the distance between the two points—in this case the distance between the specified point and the origin!
Do vectors have position?
Vectors have magnitude and direction. The magnitude of is written | | v . Position, displacement, velocity, acceleration and force are examples of vector quantities. ... The negative of a vector has the same magnitude but opposite direction.
URL OF LECTURE NO. 15-14-13-12-11-10-9-8-7-6-5-4-3-2-1
(VECTOR ALGEBRA)
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 ||
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