Tagged Questions
0
votes
0answers
77 views
What is this expression called?
Could anyone please tell me if they recognize this equation? What it does is calculate the angle between two lines, but I need it's name. Any help is greatly appreciated!
$$\sin \theta = A_{1} \cdot ...
3
votes
1answer
129 views
How is the formula for the focal point of a ball lens derived?
In Optical Design Fundamentals for Infrared Systems 2nd ed., Mr. Riedl writes:
A sphere or ball performs surprisingly well as a lens. At closer
scrutiny, one fmds that such an element can be ...
1
vote
1answer
63 views
Restriction Of Parametric Functions Domain
The problem I am working on is, "Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by
eliminating the ...
1
vote
1answer
34 views
How to figure out x and y components of a vector
Given a vector $\vec{v}$ and an angle $\alpha$ between the vector and $Oy$ or $Ox$ what is the quickest way to figure out the projections, or the $x$ and $y$ components?
1
vote
2answers
262 views
Finding point coordinates of a perpendicular
Given that I know the point coordinates of point $A$ and point $B$ on segment $AB$ and the expected length of a perpendicular segment $CA$ (perpendicular over $AB$), how do I calculate the point ...
3
votes
2answers
722 views
How to calculate angles and X,Y coordinates for drawing a hand of playing cards on a canvas
Scenario: I'm programming a module to draw a deck of cards on a canvas as though they were being held by a person.
Edit:
I've cleaned up the question as best I can to be clearer.
What I'm looking ...
1
vote
0answers
572 views
Direction ratio of a vector in 3d?
Suppose I have a vector whose starting end is the origin & the other end can be in any of the 8 quadrants (in 3d).
I can easily get direction ratios for the vector & also know in which ...
1
vote
3answers
172 views
Constructing a line with a known line, intersection point and angle.
I am creating a Java game with collisions. I found myself stuck on the following problem.
I have got two known lines: $y$ and $i.$ $i$ is the inbound direction and $o$ the outbound direction, ...
2
votes
1answer
35 views
Finding unknown 3D vector given 2 known vectors and 2 known angles
So I have a 3D vector math problem that I'm having difficulty solving. Basically I have two known vectors in the form (x,y,z), let's call them C and P, and I want to find a third unknown vector, let's ...
0
votes
2answers
128 views
is this equation solvable?
Can someone please solve these 2 equations to get values of h and k? I know the values of h and k but not sure how to solved these equations to get h and k 's values
$(20.01 - h)^2 + (17.94 - k)^2 = ...
1
vote
3answers
90 views
calculating a point on circumference
See the diagram
Known values are
A: (-87.91, 41.98)
B: (-104.67, 39.85)
C: (-96.29, 40.92)
L: 14.63 // L is OC
Known angles
...
1
vote
5answers
1k views
finding center of circle
How can I calculate center of a circle $x,y$? I have 2 points on the circumference of the circle and the angle between them.
The 2 points on the circle are $P_1(x_1,y_1)$ and $P_2(x_2,y_2)$. The ...
2
votes
4answers
314 views
Best way to find the Coordinates of a Point on a Line-Segment a specified Distance Away from another Point
I have 4 points: $Q, R, S, T$.
I know the following
Coordinates for $R$, $T$, and $S$;
Length of $\overline{RQ}$
That segment $\overline{RT} < \overline{RQ} < \overline{RS}$;
I need to ...
3
votes
3answers
493 views
Canonical to Parametric, Ellipse Equation
I've done some algebra tricks in this derivation and I'm not sure if it's okay to do those things.
$$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$$
$$\frac{x^2}{a^2} + \frac{y^2}{b^2} = \cos^2\theta + ...
3
votes
3answers
610 views
How is the angle between 2 vectors in more than 3 dimensions defined?
I would like to know how the angle between two n-vectors is defined. I mean whether it is unique and how we may compute it (is the inner product a valid method in the n-dimensional space?). I have ...
5
votes
1answer
162 views
Trying to find an unknown point just with angles
This is my model:
What I do know:
A, B, C, which form an equilateral triangle
Mab, Mbc, Mac which are the middle points
Angles x and y, which are the angles formed by the segment from the unknown ...
6
votes
3answers
3k views
Equation of angle bisector, given the equations of two lines in 2D
I have two lines in 2D expressed with general equation (or implicit equation):
First line: $a_1x+b_1y=c_1 \qquad(1)$
Second line: $a_2x+b_2y=c_2 \qquad(2)$
If the two lines are intersecting I will ...
3
votes
3answers
2k views
Finding point coordinates of a perpendicular bisector
Given that I know the point coordinates of A and B on segment AB and the expected length of a perpendicular segment CD crossing the middle of AB, how do I calculate the point coordinates of segment ...
4
votes
3answers
2k views
Find the coordinates in an isosceles triangle
Given:
A = (0,0)
B = (0,-10)
AB = AC
Using the angle between AB and AC, how are the coordinates at C calculated?
