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......

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

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

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......

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 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: Suppose, a variable force is acting along x-axis on a body. Magnitude of the force depends......

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......

Calculus in Physics Calculus is the mathematical study of change. It has two important branches—differential calculus and integral calculus. Scientist Newton was the first to......

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