### Divergence: Vector Operator

Divergence The divergence is an operator, which takes in the vector-valued function defining this vector field, and outputs a scalar-valued function measuring the change in......

### Curl: Vector Operator

In vector calculus, the curl is a vector operator that describes the insignificant rotation of a 3-dimensional vector field. If the vector field represents the......

### Uses of Vector Operators

Uses of Vector Operators As Gradient Before defining and explaining gradient we need to know about differential operator (∆→) and scalar and vector field. Vector......

### Physical Significance of Gradient

Physical Significance of Gradient Gradient tells you how much something changes as you move from one point to another (such as the pressure in a stream).......

### Integration in Vector

Integration Suppose, a body is moving in a particular direction, i.e., it is moving along a straight line. Although the direction of velocity is fixed,......

### Differentiation of a Vector

Differentiation of a Vector Let V→ (u) be a vector that depends on unit scalar operator u. In mathematical language V is a function of......

### Differentiation of Vectors with Respect to Time

Differentiation of vectors with respect to time: If a vector quantity varies with time, then differentiation of that quantity is called differentiation of vector with......

### General Rule for Differentiation of a Scalar Quantity

General rule for differentiation of a scalar quantity is as follows: A scalar quantity is a one dimensional measurement of a quantity, like temperature, or......

### Vector Operator

Operator is an English term. It is a mathematical symbol or index. It has no value of its own. For example: square, cube, root, sine,......

### Cross Product of Unit Vectors

Cross product of unit vectors Let î, ĵ and ƙ be the unit vectors along the three co-ordinate axes X, Y and Z respectively which......

### Determination of Work by Variable Force using Integral Calculus

Determination of work by variable force using integral calculus: Suppose, a variable force is acting along x-axis on a body. Magnitude of the force depends......

### Vector Calculus

Vector Calculus Calculus: In scientific language calculus is a discipline of calculating continuously variable and exceedingly small fraction. In current mathematics it is a vital......