For example, if a vector \(\mathbf{A}(t)\) is a function of time \(t\), then \(\mathbf{A}(t)=A_{x}(t) \mathbf{i}+A_{y}(t) \mathbf{j}+A_{z}(t) \mathbf{k}\), and \frac{d \mathbf{A}(t)}{d t}=\frac{d A_{x...For example, if a vector \(\mathbf{A}(t)\) is a function of time \(t\), then \(\mathbf{A}(t)=A_{x}(t) \mathbf{i}+A_{y}(t) \mathbf{j}+A_{z}(t) \mathbf{k}\), and \frac{d \mathbf{A}(t)}{d t}=\frac{d A_{x}(t)}{d t} \mathbf{i}+\frac{d A_{y}(t)}{d t} \mathbf{j}+\frac{d A_{z}(t)}{d t} \mathbf{k} If a vector \(\mathbf{A}(t)\) is a function of time \(t\), then \(\mathbf{A}(t)=\) \(A_{x}(t) \mathbf{i}+A_{y}(t) \mathbf{j}+A_{z}(t) \mathbf{k}\), and
