Calculus 3 Quiz
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VECTORS & 3D GEOMETRY
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A plane passes through the point A(1,2,−3)A(1, 2, -3) and has normal vector n⃗=⟨2,−1,4⟩\vec{n} = \langle 2, -1, 4 \rangle. If point B(x,y,z)B(x, y, z) lies on this plane and the vector AB→\overrightarrow{AB} has the property that AB→⋅n⃗=15\overrightarrow{AB} \cdot \vec{n} = 15, which of the following must be true?
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