0
votes
1answer
26 views

Intersection of planes

A line perpendicular to the plane $ 3x-5y+4z-11=0 $ passes through the origin. At what point does this normal intersects the plane?
1
vote
2answers
91 views

Line of intersection/quadric surfaces

Let $C$ be the curve of intersection of the cylinder $\frac{x^2}{25}$ + $\frac{y^2}{9}$ = $1$ with the plane $3z = 4y$. Let $L$ be the line tangent to $C$ at the point $(0,-3,-4)$. What is the ...
1
vote
2answers
55 views

Plane intersection

The planes $5x + 3y + 2z = 0$ and $ 2x + 8y - 5z = 0$ intersect. Find the equation of the intersecting line. I get the parametric equation: $x = t$ y = $\frac{29}{34}t$ z = $\frac{-121}{170}t$ ...
0
votes
1answer
71 views

Finding POI's for the follow two curves

So I need to find the POI (point of intersection) of the following two curves: \begin{align*} r & = 1 + \cos \theta, \\ r & = 2 - 2\cos \theta. \end{align*} What I did was I just set both the ...
2
votes
0answers
35 views

How do I use k-dimensional planes as bounds for generating k-dimensional vectors?

I am an essentially self-trained programmer with little mathematical background. I do not quite know where to start for this problem, and do not know the terminology to help me get conclusions ...
2
votes
0answers
773 views

How to find all intersection points of two splines?

2D-Cubic splines are given in parametric form (X(t), Y(t) and X(s), Y(s)). Every segment has it's own X and Y expression. And I want to find all intersection points. Some segments are intersecting ...
0
votes
2answers
77 views

Curve intersection criteria

I have two curves, which are given by sets of values: $C = [( x{_1} ,y{_1}),(x{_2},y{_2}),(x{_3},y{_2}),...,(x{_n},y{_n})]$ $C^' = [( x^'{_1} ...