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Show that the lines (x+1)/(-3)=(y-3)/(2)...

Show that the lines `(x+1)/(-3)=(y-3)/(2)=(z+2)/(1)and(x)/(1)=(y-7)/(-3)=(z+7)/(2)` are coplanar. Also, find the equation of the plane containing them.

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AI Generated Solution

To show that the lines are coplanar and to find the equation of the plane containing them, we will follow these steps: ### Step 1: Identify the lines and their points and direction ratios The equations of the lines are given as: 1. Line 1: \(\frac{x + 1}{-3} = \frac{y - 3}{2} = \frac{z + 2}{1}\) 2. Line 2: \(\frac{x}{1} = \frac{y - 7}{-3} = \frac{z + 7}{2}\) ...
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