Del Operator - Definition & Significance - Coordinate System.
- The collection of partial derivative operators is called DEL operator. Hence DEL can be viewed as the derivative in multi dimensional space. - DEL operator is defined as a vector differential operator. - A DEL operator is not a vector in itself, but when acts on a scalar function, it becomes a vector. - Del is not simply a vector ; it is a vector operator. Whereas a vector is an quantity with both a magnitude and direction, DEL does not have a precise value for either until it is allowed to operate on something. - In Cartesian coordinate system Del operator is given as: This operator is useful or significant in defining Gradient of a scalar V (∇ V) Divergence of a vector A (∇ . A) Curl of a vector A (∇ x A) Laplacian of a scalar V (∇ 2 V) DEL OPERATOR - CYLINDRICAL CO-ORDINATE SYSTEM : Unit vectors of Cartesian co-ordinate system are related to unit vectors of Cylindrical co-ordinate system as: a x = a ρ cosφ – a φ sinφ a y = a ρ sinφ + a φ...