Gradient of a Vector

Let's talk about gradient of a vector. First, we have to talk about the gradient operator, or del operator. It's an upside-down triangle, right? Whatever I have over here, this is how it is defined. In order for me to get the gradient of a vector, it's a little unusual in a way that this is not two vector, but it is what it is, I guess. Let me write the right-hand side; I'll be right back. Okay, so you can see the trick over here is I'm going to write the x component of this vector, y component of this vector, and z component, not the entire vector. And I'll give you an example to clarify this further, to make sure that you got it. So let's say a g vector, right? It is x square i minus y cube j. Not going to solve in detail, but this will be 2x minus 3y square. And I would like to highlight that this is a scalar, right? It is not a vector; it doesn't have components, doesn't have an i or a j over here.