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