Vector - QS Study
QS Study

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

Curl: 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......

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......