The Question states: Two discs are placed, in contact with each other, on a table. Their radii are 4 cm and 9 cm. An elastic band is stretched round the p...

Suppose that I want to find the equation of the plane that is perpendicular to the plane $8x-2y+6z=1$ and passes through the points $P_1(-1,2,5)$ and $P_2...

As the notation of Multiplicative group of integers modulo n I see: $(\mathbb{Z}/n \mathbb{Z})^{\times}$ What does this notation actually mean?

I was taught that an asymptote cannot be crossed. My teacher then went and made my life a lot harder by countering what I've learned. Why can some as...

In the definition of an algebra over a field in the wiki entry , it states that an algebra over a field is a vector space equipped with a bilinear product...

I'm having trouble understanding how to do the solution to this problem. Could someone explain this problem and how I would show where they are conti...

How to prove the one-sided Chebyshev's inequality which states that if $X$ has mean $0$ and variance $\sigma^2$, then for any $a > 0$ $$P(X \geq a...

from Wiki According to Dynkin's classification, we have as possibilities these only, where n is the number of nodes: To me it seems not obvious why t...

I've read that taking a dot product is just projecting one vector on the other, so a perpendicular vector will have no components in the other vector...

Hints only Let $P = \text{Span } \{v_1, v_2\}$ be a plane in $\mathbb{R}^3$ with normal vector $n$. Show that $\{ v_1, v_2, n\}$ is a basis for $\mathbb{R...