vcsharp2003's latest activity

Is n a unit vector? And do x and x0 also denote vectors? My guess is that n can denote a normal unit vector or a normal non-unit...

Thank you for helping me solve this problem..

Yes. My only remark is that you should call this "family" a bundle or, more specifically, a tangent bundle. This is the correct...

I think you don't need ##a,## so you have only to deal with ##\sin \omega=0## or ##\omega\in \{0,\pi\}## since we may assume that...

It seems complex, but I will try. So, I am going to restrict to the interval ##\omega \in [0,2\pi)## since all other values of...

So, I must deal with the special cases ##\sin{\omega} =0## and ##\cos{\omega} =0## in my proposed solution.

That's correct. Theoretically, you have to distinguish between the cases where ##\sin \omega=0## and those where ##\sin \omega\neq 0##...

The equation of a line in ##\mathbb{R}^2## can be written as $$\mathbf{n} \cdot (\mathbf{x} - \mathbf{x}_0) = 0$$ where ##\mathbf{x}_0##...

$$y-5\sin\omega=-\frac{1}{\tan\omega}(x-5\cos\omega)$$ [EDIT] Another way. Say all the points on the line $$ y=ax+b $$ has distance...

I am trying to understand the variable ##\omega##, since the one-liner solution makes no mention of it. It seems that this variable is...

The straight line through the origin and a point on the circle has the slope ##\dfrac{\sin \omega}{\cos \omega}.## This means that the...

I get that since a tangent to a circle will always be perpendicular to its radius. But, the question still remains how the one-liner...

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the...