Question
Find an equation of the plane that passes through the points $P, Q,$ and $R$$$P(6,1,1), \quad Q(3,2,0), \quad R(0,0,0)$$
Step 1
We can use the vectors $\vec{RP}$ and $\vec{RQ}$ for this. The vector $\vec{RP}$ is obtained by subtracting the coordinates of $R$ from $P$, and similarly for $\vec{RQ}$. Since $R$ is the origin, we simply get the coordinates of $P$ and $Q$: $$\vec{RP} = \langle Show more…
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