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Question: Equation of a line (8)

Question:Equation of a line (8)

toandhsp 300 Maple
line
February 11 2012
0

Let A(1, 2, 3) be a point; d1: (x-2)/2 = (y+2)/(-1) = (z - 3) / 1

d2: (x--)/(-1) = (y - 1)/2 = (z  + 1) / 1.

Write the equation of the line passing through the point A, perpendicular to d1 and cut d2.

This is my code

restart;with(LinearAlgebra): with(geom3d):

A:=<1,2,3>:

B:=[2*t+2,-t-2,t+3]:

M:=<-m+1, 2*m+1,m-1>:

line(d1,B,t):

a:=convert(ParallelVector(d1),Vector):

v:=M-A:

solve(DotProduct(v,a,conjugate=false)=0,{m}): assign(%):

'M'=M: N:=<x,y,z>:

[seq(N[i]=(A + (M-A)*t)[i],i=1..3)];

 

Please comment to me. Thank you very much.
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