Question: For the following exercises, describe each vector field by drawing some of its vectors. 1. F(x, y) = -y i + x j 2. F(x,

For the following exercises, describe each vector field by drawing some of its vectors.

1. F(x, y) = -yi + xj

2. F(x, y) = i + j

3. F(x, y, z) = xi + yj + zk

For the following exercises, find the gradient vector field of each function f.

1. f (x, y, z) = ze-xy

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