NoahsArk's latest activity

Hi @NoahsArk. I can highly recommend this video (by the excellent 3Blue1Brown) which should help:

The first step is to dissocciate the coordinates from the vector. This can be hard to do, because you are so used to thinking of the...

They are on the same plane and called orthogonal coordinates and skew coordinates. Orthogonal coordinates are familiar but skew...

In the book I'm reading, Before Machine Learning, by Jorge Brasil, I'm on the section that introduces bases for vector spaces. The...

There must be a parable that covers your situation. Mathematics is a mountain. You have to start climbing to make progress. You can...

Suppose a company sells five different products, call them A, B, C, D, and E. Suppose also that during a month, there were, respectively...

You could be right. But presumably it depends upon what is classified as intuitive/simple. For example Gauss's law is fairly...

Given a gradient of a function, ##\vec \nabla f##, and a vector ##\vec v##, the dot product, ##\vec \nabla f \cdot \vec v##, is the...

Another example of dot products (integrated) is surface integrals for Gauss’ Law in electrostatics.

I could be wrong. But don't all intuitive examples involving both physics and dot product that are also simple, involve forces?

Find any application that involves the law of cosines, e.g. Pythagoras.

Try a Google search! But a couple that spring to mind are... If you are designing a computer game, you might want to know the angular...

I’m going to elaborate on what I think @fresh_42 is saying. Finding an orthogonal basis for ANY vector space allows you to decompose...

We're considering only the simple case - the box slides without tilting. In this case you can use the dot product to calculate the work...

Might be clearer with some simple examples. Consider two vectors in the plane: ##\vec u =<1, 0>## and ##\vec v =<0, 1>##. These are...