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Coordinates of a point (5)

February 02 2012 by toandhsp 25 Maple

Let A(-5,-3,-3), B(0,1,-2) be two points and

(d): x = t - 3, y = 2*t, z = t+2.

Find the coordinates the point M on (d) so that the area of the triangle ABM obtain minimum value.

 

This is my code.

restart; with(LinearAlgebra):

A:=: B:=: M:=:

u:=A-B: v:=A-M:

T:=CrossProduct(u,v):

S:=minimize(1/2*Norm(T,2), location = 'true');

M:=subs(op(1,op(1, S[2])),M);

 

Coordinates of a point (4)

February 02 2012 by toandhsp 25 Maple

Let A(-2, -1, 3), B(0, 1, 4) be two point and

(d): x = -t-2, y = t+1, z = -t-1 be a line.

Find coordinates point M lies on (d) so that area of the triangle ABM equal to 3*sqrt(5).

This is my code

restart; with(LinearAlgebra):

A:=: B:=: M:=:

u:=A-B: v:=A-M:

T:=CrossProduct(u,v):

sol:=solve(1/2*Norm(T,2)=3*sqrt(5),{t});

for i from 1 to 2 do print('M'[i]=(subs(op(sol[i]), M[1]), subs(op(sol[i]), M[2]),subs(op(sol[i]), M[3]))) end do;

Coordinates of a point (3)

February 01 2012 by toandhsp 25 Maple

Let A(1,0,0) be a point and two lines

d1: (x-5)/3 = (y-1)/1 = (z - 2)/2,

d2: (x-5)/1 = (y-1)/1 = (z - 3)/3

Let B and C be two point lies on d1 and d2, respectively so that the three points A, B, C

Problem. Let A(-1,3,-2), B(-3,7,-18), C(2,-1,-3) be three points and (P):
2*x - y +z  + 1 = 0 be a plane. Find the coordinates of the point M lies on the plane (P) so that MA^2 + 2MB^2 + 3MC^2 obtain the minimum value.
This is my code.
restart: with(geom3d):
A:=<-1,3,2>: B:=<-3, 7, -18>: C:=<2,-1,-3>:
M:=<x,y,z>: o:=<0,0,0>:
eq:=solve([seq(o[i] = (A-M + 2*(B-M) + 3*(C-M))[i], i=1..3)]);
point(T, -1/6, 7/3, -43/6...

Find coordinates of the point

January 28 2012 by toandhsp 25 Maple

Problem. Let (P): 2x -y +2z + 9 = 0 be a plane and two points A(3,-1,2), B(1,-5,0). Find coordinates of the point M lies on (P) such that scalar product of two vectors MA and MB obtain  the minimum value. 

I wrote a program in order to find coordinates orthocenter of the triangle. Please comment for me. This is my code:

restart;

with(geom3d);

point(A,1,-3,0);

point(B,-2,1,1);

point(C,3,1,2);

line(AB,[A,B],t);

line(BC,[B,C],t);

ab:=ParallelVector(AB); 

bc:=ParallelVector(BC);

eq1:=Equation(plane(P,[C,ab],[x,y,z]));

eq2:=Equation(plane(Q,[A,bc],[x,y,z]));

eq3:=Equation(plane(ABC,[A,B,C],[x,y,z]));

Hi guys

i have a problem to drawing this function

problem is F(r,theta)=sin(6r) /6r   IF r is not 0

          and F(r,theta)=1               IF r is 0

Thanks for your helps 

 

 

hi,

how to change coordinate system? 

for example :

diff(f(x, y), x)   =   (diff(f(r, theta), r))*cos(theta)-(diff(f(r, theta), theta))*sin(theta)/r

 

thx;

aryan.

 

I've been trying to find a way to plot error bars in a polar coordinate system. Using ErrorPlot i can display my data with error bars in cartesian coordinates but the usual option 'coords=polar' doesn't seem to be followed. Perversely, the option 'axiscoordinates=polar' does work in ErrorPlot, so i just get a cartesian plot of my data sitting on top of a polar axis. Is there a way to plot my data with errors in a polar basis?

Plotting coordinates in maple

September 15 2011 by jpijnenburg 0 Maple

Teleh

This is the frame of the bike rear suspension i'm trying to calculate. Here is my maple sheet.

Download Maple-start.mw Maple-start.mw 

What i'm trying to achieve is a plot that would look a little like this:

Hi,

I am missing two options in the "fieldplot3d" command, which I am using in cylindrical coordinates: one is "style=contour" and the other is "axes=cylindrical" where apparently only the "axes=boxed" option as available.
Any ideas how I can get this?

Or can I show a polar plane at one end of the cylinder? like in the post:
http://www.mapleprimes.com/questions/38553-Plot-3D-Cylindrical-Coordinates


this is my plot:

with(plots):with(VectorCalculus):

This is more of a blog entry, mostly a note to myself.

I wanted to generate a list of points on the surface of a deformed sphere. It turns out that Robert recently showed how to do that on a unit sphere.

http://www.mapleprimes.com/questions/35962-Limited-Random-Points-Plot-On-A-Surface#comment66936

Adapting his code is straightforward. So here is what I came up with. One proc generates the random points on the surface of the ellipsoid. Another proc generates...

Dear primers,

I have a curve that shows 4 maxima (green curve in the image, red curve is the derivative). Now i simply want the coordinates of these maxima without defining a threshold. I tried the "ExtremePoints" function, but it returns an error ("...cannot determine discontinuities") and the "extrema" function which gives me only one max and min value.It would be great, if somebody could give me a hint...

I'm new to maple and am evaluating it as a means of deriving symbolic equations of motion for a system comprising two flexible bodies sliding relative to one another and rotating in 3d space using the Boltzmann Hamel equations.  I have written up the approach but the maths is extremely tedious by hand so I wondered if maple could help.  For  a start how do I define a simple indexed 3 element vector and then create the skew matrix equivalent (tilde matrix) as...

3d graph, please help!

September 28 2010 by Joel_Habets 12 Maple

 

Hi,

I am not very familiar with maple but have a problem that is probably very easy for an expert. I have the coordinates of three variables, but no specific function of it. I want to create a 3d graph with these coordinates but do not know how. I have done it before with a specific function, but do not know how to do it with solely the coordinates, I work with Maple 12. Could somebody please help me, it is very important for me! thanks in advance,

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