I have a polynomial T:=x-2*y-z + 3;

When i input coeff(T,x); i got 1. How can i get the coefficient 3? Please help me. Thank you.

I want to write the equation of the line which passing the two point A(1, 1) and B(m+1, -2*m + 2) by using LinearAlgebra, but i can not write. Please help me. Thank you.

Please write for me a code for the following problem.

Let (S): x^2 + y^2 + z^2 -2*x +2*z + 1 = 0 be a sphere and M(1, 2, -1), N(3, 1, -1) be two points. Find the coordinates of the point K lies on the sphere (S) such that the triangle KHN has minimum area. 

Thank you very much.

Solve the inequality sqrt(4*x + 6) - (x^3 +7*x^2 +12*x +6)^(1/3) >=x^2 - 2.

Please help me. Thank you.

Problem. In the plane 2*x -3*y +3*z -17 = 0, find a point M such that the sum of its distances from the poits A(3, -4, 7) and B(-5, -14, 17) will have the least value.

First way.

restart:with(geom3d):

point(A,3,-4,7):

point(B,-5,-14,17):

plane(P,2*x - 3*y +3*z -17=0,[x,y,z]):

reflection(Q,A,P):

line(BQ,[B,Q]):