Let G(x) Be a Differential 0-Form on a Domain D $\bigtriangledown$

Multiple Choice

Let g(x) be a differential 0-form on a domain D in . If dg(x) = (x) dx+ (x) dy + (x) dz, then the vector field (x) i + (x) j + (x) k is equal to

A) grad (g(x) )
B) div(g(x) )
C) curl ( $\bigtriangledown$ g(x) )
D) $\bigtriangledown$ × $\bigtriangledown$ (g(x) )
E) $\bigtriangledown$ (g(x) ) g(x)