Base Vectors



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Base Vectors

The columns of the Jacobian matrix , and , are the tangent vectors to the grid lines with varying and , respectively. These vectors and define a local coordinate system at each point and are known as covariant base vectors (3.3-7) (see Figure 3.3-5).

 

The rows of the inverse Jacobian (3.3-8), and , are the normal vectors to a coordinate surface on which the coordinate respectively is constant. Also these vectors define a local coordinate system at each point and are known as contravariant base vectors (3.3-9) (see Figure 3.3-5).

 

 

 



Martin Stiftinger
Wed Oct 19 13:03:34 MET 1994