Question 1304f

Vectors II: Lines and Planes
Relationship between a Point and a Plane

Question

The planes p1{p_1} and p2{p_2} are given by
p1:r⋅(3−52)=7,p2:r⋅(−1525−10)=−35.\begin{align*} &p_1: \mathbf{r} \cdot \begin{pmatrix} 3 \\ - 5 \\ 2 \end{pmatrix} = 7, \\ &p_2: \mathbf{r} \cdot \begin{pmatrix} - 15 \\ 25 \\ - 10 \end{pmatrix} = - 35. \end{align*}
What is the relationship between the two planes?

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