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⋅(5−4−1)=−7,p2:r⋅(5−4−1)=2.\begin{align*} &p_1: \mathbf{r} \cdot \begin{pmatrix} 5 \\ - 4 \\ - 1 \end{pmatrix} = - 7, \\ &p_2: \mathbf{r} \cdot \begin{pmatrix} 5 \\ - 4 \\ - 1 \end{pmatrix} = 2. \end{align*}
What is the relationship between the two planes?

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