In three-dimensional space, vector \(\vec{A}\) has three vector components: the x-component \(\vec{A}_{x}\) = A x \(\hat{i}\), which is the part of vector \(\vec{A}\) along the x-axis; the y-component...In three-dimensional space, vector \(\vec{A}\) has three vector components: the x-component \(\vec{A}_{x}\) = A x \(\hat{i}\), which is the part of vector \(\vec{A}\) along the x-axis; the y-component \(\vec{A}_{y}\) = A y \(\hat{j}\), which is the part of \(\vec{A}\) along the y-axis; and the z-component \(\vec{A}_{z}\) = A z \(\hat{k}\), which is the part of the vector along the z-axis.