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Vectors - Introduction
>Similarly, by referring to the figure belo..
>Similarly, by referring to the figure belo..A vector has ...
A vector has ... => both magnitude and direction. or finite number of points. or direction. or magnitude...
Law of Polygon of Vectors
If a number of vectors are represented by the sides of a closed polygon taken in order, then, their resultant is zer..
Addition or Composition of Vectors
Addition or Composition of Vectors - Scalars can be added algebraically. However, vectors do not obey the ordinary laws of algebra. This is because vectors possess both magnitude and direction. Vectors are added geometrically. The process of adding two or mor..
Parallelogram Law of Vectors
The above example can be stated in the following way as the law of parallelogram of vectors - If two vectors, acting simultaneously at a point, can be represented both in magnitude and direction by the two adjacent sides of a parallelogram drawn from a point, then the ..
The Zero Vector and its Properties
Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above r..
Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above r..Law of Polygon of Vectors
Law of Polygon of Vectors - This law is used to add more than two vectors. The above figure illustrates four vectors Each of these vectors is displaced parallel to itself so that all four of them touch each other as shown in the figure (b). Obviously vec..
Law of Polygon of Vectors - This law is used to add more than two vectors. The above figure illustrates four vectors Each of these vectors is displaced parallel to itself so that all four of them touch each other as shown in the figure (b). Obviously vec..Triangle law of vectors
Let a particle be at the points A, B, C at three successive times t, t ' and t '' respectively. is the displacement vector from time t to t ' . is the displacement vector from time t ' to t '' . The total displacement vector is the sum or the resultant..
Let a particle be at the points A, B, C at three successive times t, t ' and t '' respectively. is the displacement vector from time t to t ' . is the displacement vector from time t ' to t '' . The total displacement vector is the sum or the resultant..Parallelogram Law of Vectors
>The above example can be stated in the following way as the law of parallelogram of vectors - If two vectors, acting simultaneously at a point, can be represented both in magnitude and direction by the two adjacent sides of a parallelogram drawn from a point, then the resu..
>The above example can be stated in the following way as the law of parallelogram of vectors - If two vectors, acting simultaneously at a point, can be represented both in magnitude and direction by the two adjacent sides of a parallelogram drawn from a point, then the resu..Dot Product of Vectors and the Resolution of a Vector
> The first case, that is, multiplication of a vector by a scalar has been dealt with in the section; multiplication of vectors by real numbers. Hence, we move on to the second case, that is, multiplication of two vectors in such a way as to yield a..
> The first case, that is, multiplication of a vector by a scalar has been dealt with in the section; multiplication of vectors by real numbers. Hence, we move on to the second case, that is, multiplication of two vectors in such a way as to yield a..See what our Users say :
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