Multivariable Calculus Quiz
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VECTORS AND GEOMETRY IN 3D
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Let u⃗=⟨2,1,−3⟩\vec{u} = \langle 2, 1, -3 \rangle, v⃗=⟨1,−2,1⟩\vec{v} = \langle 1, -2, 1 \rangle, and w⃗=⟨−1,3,2⟩\vec{w} = \langle -1, 3, 2 \rangle. If n⃗\vec{n} is a unit vector such that the scalar triple product (u⃗+tn⃗)⋅(v⃗×w⃗)=0(\vec{u} + t\vec{n}) \cdot (\vec{v} \times \vec{w}) = 0 for some real number tt, which of the following could be n⃗\vec{n}?
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