Show that the plane \( a x+b y+c z+d=0 \) divides the line joining the points \( \left(x_{1}, y_...

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Show that the plane \( a x+b y+c z+d=0 \) divides the line joining the points \( \left(x_{1}, y_{1}, z_{1}\right) \) and \( \left(x_{2}, y_{2}, z_{2}\right) \) in the ratio \( -\frac{a x_{1}+b y_{1}+c z_{1}+d}{a x_{2}+b y_{2}+c z_{2}+d} \)
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