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Mathematical Fundamentals

................(1.14)

A vector can be represented as sum of its orthogonal components,...................(1.15)
In general u, v and w may not represent length. We multiply u, v and w by conversion factors h1,h2 and h3 respectively to convert differential changes du, dv and dw to corresponding changes in length dl1, dl2, and dl3. Therefore

...............(1.16)

In the same manner, differential volume dv can be written as and differential area ds1 normal to is given by, . In the same manner, differential areas normal to unit vectors and can be defined.