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THIS TEXT REQUIRE A PRIOR READING OF
1.COORDINATE SYSTEMS
thoughtcrackers.blogspot.com
THIS TEXT REQUIRE A PRIOR READING OF
1.COORDINATE SYSTEMS
- DEL (∇) is always used to know the spatial variations of any quantity i.e. changing in space.
- When operated on any quantity it specifies the rate of change of quantity along with the direction of this change. This is called a directional derivative.
- Above figure explains the different operation of del (∇) operator on the scalar and vector fields.
- The spatial variation of any scalar quality results in a vector quantity which is called "Gradient of Scalar”.
- The spatial variation of any vector quantity can be analyzed in two ways:
B) Second is Cross Product i.e. Curl Of a Vector that gives a vector quantity.
VECTOR IDENTITIES
Curl of gradient of any scalar is zero.
Divergence of curl of any vector is zero.
Divergence of gradient is Laplacian of that scalar
The 3 remaining vector derivatives are related by the equation
