Vector

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…

Gradient tells you how much something changes as you move from one point to another (such as the pressure in a stream). The gradient is…

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 a temperature,…

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…