Math 22000 Exam 1 Multivariate Calculus October 15, 2024 D. A. Ryabogin 1. Find an equation of the plane passing through the points $(0, 1, 1)$, $(1, 0, 1)$ and $(1, 1, 0)$.
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We can find two vectors in the plane by subtracting the coordinates of the points: $\vec{AB} = B - A = (1 - 0, 0 - 1, 1 - 1) = (1, -1, 0)$ $\vec{AC} = C - A = (1 - 0, 1 - 1, 0 - 1) = (1, 0, -1)$ Show more…
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