Shortest distance Definition and 70 Threads

What will be the shortest point on the opposite "vertices" of a cylinder?

Homework Statement Find an equation of the line, say y=mx+b, which passes through the point (6,−2) and is perpendicular to the line −2x+4y=0 y= What is the shortest distance from the point (6,−2) to the line −2x+4y=0? Homework Equations ? The Attempt at a Solution So I...

Homework Statement line l1 : x=2 y= -1 + p z= 2p line l2 : x=-1 + t y=1-3t z=1-2t Find the shortest (exact) distance between l1 and l2. Homework Equations That's what I am looking for! The Attempt at a Solution Thanks!

Hi guys this problem should be simple enough but I just can't get the correct answer. Well the question is: Show that the shortest distance between the line (l_1) with equation \frac{x+4}{3} = \frac{y-3}{2} = \frac{z+6}{5} and the line (l_2) with equations i. x -2y -z =0 ii. x...

shortest distance between lines... how to find the shortest distance and the equation between the lines (x-6)/3=(y-7)/-1=(z-4)/1 & (x)/-3=(y+9)/2=(z-2)/4 ... pls help by solving it

Homework Statement Find the shortest distance from the origin to the curve x^2+2xy+y^2=150. Homework Equations \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y} 3. The problem I'm occurring I'm not sure how to start is thus can't attempt it. I would have used the...

Homework Statement Barium crystallizes in a body centered cubic structure in which the cell edge length is 0.5025 nm. Calculate the shortest distance between neighboring atoms in the crystal. Homework Equations Avagodro's number The Attempt at a Solution 0.5025 x 10^-7 cm (...

Say you have two vectors: a and b. Is the shortest distance between these two vectors when a line perpendicular to a meets vector b, or when a line perpendicular to vector b meets vector a? Thanks

This is sort of a simple question. If there is a point P near a function F(x), then, so long as F(x) is continuous, the shortest distance between P and F(x) would be along a line connecting P and F(x), in which it is perpendicular to the tangent of F(x) at the point of intersection. Is...

[SOLVED] shortest distance Homework Statement Find the shortest distance to the origin given the quadric surface x^2 + y^2 - 2zx = 4Homework Equations The Attempt at a Solution F = x^2 + y^2 + z^2 g = x^2 + y^2 - 2zx = 4 Well I initially substituted y^2 = 4 + 2zx - x^2 into F F = 4 + 2zx +...

shortest distance?? Homework Statement find the shortest distance of y=x^2 from (4,0) Homework Equations The Attempt at a Solution if y=x^2, then y'=2x where x=4 the slope is 8 the solution is y=8(x-4) if that is the tangent line \, the normal line would be...

... on a sphere. Ok, so this isn't really a homework question (I haven't done homework in years), but rather is a problem I've been trying to figure out for the last few hours for a programming issue I have run into. So if this is the wrong forum, feel free to move it (and I apologize)...

I encountered a problem in a book with a proof given. But I am a bit skeptic about it. I hope someone can help shed some light. Let \{g_{i}\} be a set of vectors and imagine a cone defined as K = \left\{v \,\bigg|\, v =-\sum_{i}\lambda_{i}g_{i}, \textup{ where }\lambda_{i}\geq 0 \ , \forall i...

Is there a shortest possible distance besides zero? Or there's no limitation at all?

Firstly I apologise if my problem here seems a bit daft but I have got nobody other than myself or you guys to tell me if I'm doing things correctly or not. The question: Two cyclists are riding one along each of two perpendicular roads that meet at A. At one instance both cyclists are 500m...

Find the shortest distance between the two skew lines L(1) and L(2) with equations r = (1, 2, 2) + s (4, 3, 2) and r = (1, 0, -3) + t (4, -6, -1) How to do this? Help needed..

I would like to see the proof that the shortest distance between two points is a line. I found a proof online http://www.instant-analysis.com/Principles/straightline.htm but i can't quite follow it. Does anyone know of a simple proof of this fact?

hi, pls anyone, how would i find the shortest distance btw a point (x,y) and a hyperbola , given the equation of the hyperbola?? :rolleyes:

explain how you go about finding the shortest distance between 2 non-parallel lines (i.e. skew lines). for example: x=3-2t, y=1-4t, z = t and (x+2)/3=y+1=(z+1)/-2

If I have a point P, how do I project it onto a Catmull-Rom spline (ie. get the point on the spline closest to P)? This is how I calculate the spline, t goes from 0 to 1 (C++): float t2 = t * t; float t3 = t2 * t; out.x = 0.5f * ( ( 2.0f * p1.x ) + ( -p0.x + p2.x ) * t + ( 2.0f *...