Find if three points in 3-dimensional space are collinear
Find if the points joining $A=(6,7,1), B=(2,-3,1)$ and $C=(4,-5,0)$ are collinear. How to determine collinearity in three dimensions? In two dimensions, o...
Published: Sep 06, 2026
Geometry Proof: Convex Quadrilateral
A quadrilateral $ABCD$ is formed from four distinct points (called the vertices), no three of which are collinear, and from the segments $AB$, $CB$, $CD$,...
Published: Sep 06, 2026
![How do you validate a pmf? [closed]](https://track.liberty.io/uploads/how-do-you-validate-a-pmf-closed_720.jpg)
How do you validate a pmf? [closed]
$$P\left(X=x\right)=\left\{ \begin{array}{rl} 0.02 & X=0\\ 0.03 & X=1\\ 0.2 & X\in\left\{ 2,\,5\right\} \\ 0.25 & X\in\left\{ 3,\,4\right\...
Published: Sep 06, 2026
Why there is no sign of logic symbols in mathematical texts?
Either in undergraduate or graduate textbooks on Mathematics (Real/Complex Analysis, General Topology, Differential Geometry, ...), I never saw symbols $\...
Published: Sep 06, 2026
Maximising largest integer on a list given mean, median and mode
A list of $10$ positive integers has a mean of $11$, a median of $10$ and a unique mode of $7$. What is the largest possible value of an integer in the li...
Published: Sep 06, 2026
Find the first three non-zero terms of the Taylor series of f.
Consider the function: $$f(x) = \frac{1}{x^2+10}$$ Find the first three non-zero terms of the Taylor series of
Published: Sep 06, 2026
How to calculator plus/minus quadratic?
The book says there should be a quadratic formula, but I don't understand how to solve it. I have: $\pm 6.0 = \sqrt(\frac{36 - 4(4.0)( \pm 7.04)}{14....
Published: Sep 06, 2026
How to calculate sin(65) without a calculator.
I know about the sum and difference formula but I can't think of two values which will be able to use for sin(65). Therefore, I come to the question:...
Published: Sep 06, 2026
Q: Quadratic Division - How to divide two quadratics?
My studies into graphs and models following examples from Khan Academy has helped me on my goal to learn how to chart and model via the quadratic formula....
Published: Sep 06, 2026
What's the difference between a proof and a derivation?
I did a BSc in Theoretical Physics, meaning that a lot of my time was spent deriving equations, making hand-wavy arguments, and arriving at solutions with...
Published: Sep 06, 2026
