toandhsp

300 Reputation

11 Badges

12 years, 54 days

MaplePrimes Activity


These are questions asked by toandhsp

Problem. Write the equation of the line Delta which parallel to the planes 

(P): 3x +12y -3z -5 = 0, (Q): 3x -4y +9z + 7 = 0

and cuts two the lines

(d1): x = 2t -5, y = -4t + 3, z = 3t -1

(d2): x = -2m + 3,  y = 3m  - 1, z = 4m + 2.

This is my idea.

1) Put A(2t -5, -4t + 3, 3t -1) and B(-2m + 3, 3m  - 1, 4m + 2).

2) Find coordinates of vector AB.

3) Because Delta parallel to the planes (P...

Problem: Let (d): x = 2*t + 3, y = t -2, z = -t -1 be a line and (P): x+ y + z + 2 = 0 be a plane. Write the equation of a line Delta lies in the plane (P), Delta perpendicular to the line (d

Let A(2;-2;3), B(4;-5;6) and (M(1;2;3) be three points. Write the equation of the plane (P) passing through two points A and B 

Problem: Write the equation internal bisector and external bisector of a triangle ABC with A(1,2,-7), B(3,-1,-1), C(-5,14,-3). This is my code.

restart;
> with(LinearAlgebra):
> A:=: B:=: C:=: M:=:
>v:=1/Norm(A-B,2)*(A - B) + 1/Norm(A-C,2)*(A - C): M=A + v*t;
>u:= 1/Norm(A-B,2)*(A - B) - 1/Norm(A-C,2)*(A - C): M=A + u*t;
in the commands M = A + v*t and M = A + u*t, please comment for me. Thank you.

Please help me  write a code for the following problem:

Write the equation of the plane which passes through the points A(-1, 3, -6) and B(2, 2, -10) and tangent to the sphere

(x-1)^2 + (y + 1)^2 + (z - 7)^2 = 9.

Thank you very much.

First 24 25 26 27 28 Page 26 of 28