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Show that the lines (x+3)/(-3)=(y-1)/1=(...

Show that the lines `(x+3)/(-3)=(y-1)/1=(z-5)/5`and `(x+1)/(-1)=(y-2)/2=(z-5)/5`are coplanar.

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To show that the lines \((x+3)/(-3)=(y-1)/1=(z-5)/5\) and \((x+1)/(-1)=(y-2)/2=(z-5)/5\) are coplanar, we can use the condition of coplanarity for two lines in three-dimensional space. The lines are represented in symmetric form, and we can express them in parametric form to identify their direction vectors and points. ### Step 1: Identify Points and Direction Vectors For the first line: \[ \frac{x + 3}{-3} = \frac{y - 1}{1} = \frac{z - 5}{5} \] ...
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