Consider a plane \( \pi: \vec{r} \cdot \vec{n}=d \) (where \( \vec{n} \) is not a unit vector). ...

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Consider a plane \( \pi: \vec{r} \cdot \vec{n}=d \) (where \( \vec{n} \) is not a unit vector). There are two points \( A(\vec{a}) \) and \( B(\vec{b}) \) lying on the same side of the plane.

If a plane \( \pi_{1} \) is drawn from the point \( A(\vec{a}) \) and another plane is \( \pi_{2} \) is drawn from point \( B(\vec{b}) \) parallel to \( \pi \) then the distance between the planes \( \pi_{1} \) and \( \pi_{2} \) is:
(a) \( \frac{|(\vec{a}-\vec{b}) \cdot \vec{n}|}{|\vec{n}|} \)
(b) \( |(\vec{a}-\vec{b}) \cdot \vec{n}| \)
(c) \( |(\vec{a}-\vec{b}) \times \vec{n}| \)
(d) \( \frac{|(\vec{a}-\vec{b}) \times \vec{n}|}{|\vec{n}|} \)
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