# point

1. ### Equations of a line through a point, intersects z axis, and parallel to a plane

A question on my review guide asks for me to find the parametric equations of the line through the point (3,6,4) that intersects the z-axis and is parallel to the plane x − 3y + 5z = 6 . The answer should be (x = 3t + 3, y = 6t + 6 z = 3t + 4) Any help is appreciated!
2. ### Inflection point vs Saddle point

How can I know the difference between inflecion point and saddle point? Is the saddle point always horizontal and vertical?
3. ### Numerical analysis- fixed point iteration method

Q. Compute by the method of fixed point iteration a real root of the equation x^3 + x^2 - 1 =0 correct up to two decimal places. In the above problem if we take f(x)=0, then to solve it we can write f(x) in the form of x=g(x). Now g(x) can take three different forms. i) 1/sqrt(1+x) ii)...
4. ### A line and a point not on the the line lies in one plane?

It is given that "a line and a point not on the the line lies in one plane." Why can't the point not on the line lie in another plane?
5. ### point is dimensionless???

If a point is dimensionless, how can we have an orientation or a dimenesion for a line.
6. ### Understanding point processes

Hi everyone I'm using a 3D design software and I want to fill a 3D space (a cube) using different point processes, other than the Poisson point process, but I'm having a hard time understanding how to construct them. The link below, starting at page 28, describes two Neyman Scott processes...
7. ### Constructing point processes?

Hi everyone, I'm not very experienced with this particular field, so I hope my question makes sense. I think I've understood how to costruct a Poisson point process based on the following: Poisson point processes (PPP) are widely discussed in the literature. In the following figure a framework...
8. ### Distance from a point NOT on a line to the line

This problem has me a bit confused. I'm not totally sure if what I'm doing is right. My problem is with Steps 4 and 5. I'm not exactly sure what the problem means by asking what ||P0Q x u|| / ||u|| would look like. Based on the wording in Step 5 I assumed I was just supposed to write the...
9. ### How do we get to this point?

Hello, I was doing Laplace transformation problems on MyMathLab and I got stuck here. How exactly do we get to 2/s^3+3/s^2+9 ? We then take the Inverse Laplace transform of the result.
10. ### If (a,b) is a point on the terminal side of angle t in standard position, then cos(t)

How do I know what it is supposed to be? Please explain. Thank you!
11. ### Determine which side a point is on

Im working on a small 2d game in c++ and am not sure on how to make a formula for my problem. I have a point that moves with a velocity in any direction and another point that is static. I need to determine which side the static point is on, to the moving point. ie Left or Right I made a...
12. ### Checking if a point is on a plane

So Im given 3 points that define a plane: A=(2, 1,3) B=(-1,4,1) O=(0,0,0) And am asked if the point p=(1, - 1,2) is on the same plane. I reached the conclusion it isn't. I wonder if you can understand anything from that pic... I intended to edit it but tapatalk doesn't let me before/after...

Is there a way to check if a saddle point I calculated in a three variable function is OK? The function is f(x,y,z)=(x+z^2)e^(x(y^2+z^2-1)) and I got a saddle point in x=1, y=0, z=0. f(1,0,0)=1/e
14. ### Fix point

Hi, Provethat if f,g are two continuous maps of [0,1] into itself,wich comute,fog=gof,thenthey have a common fixed point, a=f(a)=g(a). Thank's in advance.
15. ### Angular speed, linear speed, and linear speed at halfway point.

rpm = 500 ; r=45cm (A) Angular Speed: to find the angular speed in units of radian/seconds I know the radian measure of a circle which is 2pirad... then 500 rev/60 secs x 2pirad/1rev I get the answer 52.35 cm but they are getting the answer 50pi/3?? I have no idea how they are...
16. ### Find the equation of the plane given a point and two planes

I've done a question similar to this, however this one has no complete equations i can solve for. Determine the equation of the plane that passes through (1,3,8)(1,3,8) and is perpendicular to the line of intersection of the planes 3x−2z+1=03x−2z+1=0 and 4x+3y+7=04x+3y+7=0. I know to take the...
17. ### Question on point slope formula problem

it was my understanding that the point slope formula was: y-y1 = m(x-x1) Why then, in the solution book have they chosen to use y2 and x2 values in place of y1 and x1? Does it matter which points you choose, or is it meerley two different mathematical models. Thank you for help.
18. ### Help calculating a point in 2d space on a rotating right angle triangle

I am trying to solve for a point on a triangle that rotates around a fixed point. For ease of calculation this point is at X: 0 Y: 0 The length and width of the triangle are always fixed, the only thing that changes is the rotation angle. How can I solve for X: ??? and Y: ??? taking into...
19. ### Find quadratic Equation with Given Zeroes AND 1 point

Given Zeroes : x = 1 - sqrt(2) and x = 1 + sqrt(2) and given 1 point that it passes through (2,4) write an equation I got as far as 4 = a[ 2 + (1 - sqrt(2) ] [ 2 + (1 + sqrt(2) ] and now I'm completely stuck I don't even know if I did that part properly.
20. ### Help finding the point

find the point P(x,y) so that the ratio of AP to AB is equal to r A ( 4,3) B(5,1) r = 1/3