Question: Let r(x, y, z) = xe1 + ye2 + ze3 be the position vector field on IR3 Observe that ||r(x, y, z)||2 = r .

Let r(x, y, z) = xe1 + ye2 + ze3 be
the position vector field on IR3 Observe that ||r(x, y, z)||2 =

Let r(x, y, z) = xe1 + ye2 + ze3 be the position vector field on IR3 Observe that ||r(x, y, z)||2 = r . r = x2 + y2 + z2 (the square of the Euclidean distance between the point (x, y, z) and the origin) is a scalar field. Find: (a) the gradient of ||r(x, y, z) |/2. (b) the divergence of r. (b) the curl of r

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