# Analytic geometry questions and answers

Recent questions in Analytic geometry
Chaz Blair 2022-05-21 Answered

### Given a point on a hyperbolic paraboloid, prove that there exist exactly 2 lines that pass through that point and lie on the surface of that paraboloid.

Kendrick Pierce 2022-05-21 Answered

### I got a plane with equation: $P\left(x,y\right)=\frac{16100+47y}{52}$A line (parametrized equation) which lies on the plane P:$\left\{\begin{array}{c}x=t\\ y=620\\ z=870\end{array}$And a point which belongs to the line: $O\left(-5,620,870\right)$I need to find an equation of the line that belongs to the specified plane P and crosses specified line at the specified point O making an angle of ${45}^{\text{o}}$ with the line.

Micah Haynes 2022-05-14 Answered

### Plane with normal vectora) If unit normal vector is $\left({a}_{1},{b}_{1},{c}_{1}\right),$ , then, how the point ${P}_{1}$ on the plane becomes $\left(D{a}_{1},D{b}_{1},D{c}_{1}\right)?$ ?b) If unit normal is $\left(1/3,2/3,2/3\right)$ then ${P}_{1}$ becomes $\left(2/3,4/3,4/3\right)$ Where $D=2.$ We know that normal vector began on the plane at point ${P}_{1}$ and ends at $\left(1/3,2/3,2/3\right).$ My questions is how unit normal vector coordinates value less than ${P}_{1}$ coordinates value, because unit normal vector pointing outside of the plane it should be greater coordinates value than ${P}_{1}$ ?

Kaiden Wilkins 2022-05-07 Answered

### Prove that if $a,b,c\in \mathbb{R}$ are all distinct, then $a+b+c=0$ if and only if $\left(a,{a}^{3}\right),\left(b,{b}^{3}\right),\left(c,{c}^{3}\right)$ are collinear.

Alissa Hutchinson 2022-05-07 Answered

### Find the foot of the perpendicular through the point $A\left(-3;2\right)$ to line $2x-y+4=0$

Gabriel Marks 2022-02-04 Answered

2022-01-19

### Volume of triangular pyramid to nearest whole number 8/16/12

William Curry 2021-12-21 Answered

### The distance between point and given in spherical coordinates extract the formula.

Ernest Ryland 2021-12-20 Answered

### Using the technique of integration by parts evaluate the integral of the product of function $\left[5+5\right]$ a) b)

Maria Huey 2021-12-19 Answered

### Explain, please, what is the measure of one interior angle of a regular nonagon?

Salvatore Boone 2021-12-19 Answered

### What shapes are quadrilateral?

Donald Johnson 2021-12-19 Answered

### The radius of a circle is 10 inches. What is the area? Given the exact answer in simplest form

Ben Shaver 2021-12-19 Answered