(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the coordinates of the symmetric point of the point M(2,1,3) of the line

[tex]\frac{x+2}{1}=\frac{y+1}{2}=\frac{z-1}{-1}[/tex]

2. Relevant equations

3. The attempt at a solution

Out from here:

[tex]\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1}=\frac{z-z_1}{z_2-z_1}[/tex]

[tex]M_1(x_1,y_1,z_1)[/tex]

[tex]M_1(-2,-1,1) ; M_2(-1,1,0)[/tex]

I got two conditions

lets say that the point we need to find is N.

M_1N=MM_1

and

M_2N=MM_2

How will I find the 3-rd condition? I tried also with normal distance from M to the line to be equal with the normal distance of N to the line... Please help... Thank you.

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# Homework Help: Symmetric point of line

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