Question: Coordiantes of a point

Let M(1; -1; 0) be a point, Delta: (x-2)/2 =(y+1)/(-1) = (z - 1)/1 be a line, (P): x + y + z - 2 = 0 be a plane. Find the coordinates of the point A lies on (P), knowing that the line AM perpendicular to the line Delta and distance from the point A to the line Delta equal to sqrt(33/2).

This is my code

 with(geom3d):

point(M,1,-1,3):

line(Delta,[2*t+2,-t-1,t+1],t):

plane(P,x+y+z+3=0,[x,y,z]):

a:=ParallelVector(Delta):

n:=NormalVector(P):

plane(Q,[M,a],[x,y,z]):

intersection(d,P,Q):

eq:=Equation(d,t):

coordinates(point(A,seq(eq[i],i=1..nops(eq)))):

sol:=solve(distance(A,Delta)=sqrt(33/2),{t}): coordinates(point(A1,eval(coordinates(A),op(sol[1]))));

coordinates(point(A2,eval(coordinates(A),op(sol[2]))));

 

Please comment to me. Thank you very much.

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