## 300 Reputation

12 years, 145 days

## coordinates of a point (2)...

Maple
`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:=:  B:=:  C:=:M:=: o:=: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); # put T by my handplane(P,2*x - y +z  + 1 = 0,[x,y,z]):`

## Find coordinates of the point...

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.

## Equation of a line (4)...

Maple

Plase write for me a code for the following problem:

Let (d): (x-1)/2 = (y+2)/1 = z/1 be a line and

(P): x + 2y -z - 3 = 0 be a plane.

Write the equation of the line (Delta) lies in the plane (P), perpendicular to the line (d) and the distance between (d) and (Delta) equal to sqrt(2).

## Equation of a plane (5)...

Maple

Please write for me a code with following problem:

Write the equation of the plane wich passes through the two points A(2, -1, 0), B(0, 1, -2) and makes an angle 60 degrees with the plane x + 2y +z + 4 = 0.

Thank you very much.

## Equation of a plane (4)...

Maple

Pease write for me a code with problem:

Find the equation of the plane (P1) which passes through the point M(1; 2; 3), perpendicular to the plane (P2): 5x -2y +5z + 10 = 0 and make an angle 45 degrees with the plane (P3): x - 4y -8z = 0.

Thank you very much.

 First 23 24 25 26 27 28 Page 25 of 28
﻿