Question 1304c

Vectors II: Lines and Planes
Equation of a Plane from III

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The planes p1{p_1} and p2{p_2} are given by
p1:r(223)=14,p2:r(223)=15.\begin{align*} &p_1: \mathbf{r} \cdot \begin{pmatrix} 2 \\ 2 \\ - 3 \end{pmatrix} = - 14, \\ &p_2: \mathbf{r} \cdot \begin{pmatrix} 2 \\ 2 \\ - 3 \end{pmatrix} = 15. \end{align*}
Find the perpendicular distance between p1{p_1} and p2.{p_2.}

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