Calculus 3 Quiz
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VECTORS & 3D GEOMETRY
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Points AA, BB, and CC have position vectors a⃗=⟨3,−1,2⟩\vec{a} = \langle 3, -1, 2 \rangle, b⃗=⟨1,4,−3⟩\vec{b} = \langle 1, 4, -3 \rangle, and c⃗=⟨5,2,1⟩\vec{c} = \langle 5, 2, 1 \rangle respectively. If point DD is such that AD→=2AB→+12AC→\overrightarrow{AD} = 2\overrightarrow{AB} + \frac{1}{2}\overrightarrow{AC}, what is the zz-component of the position vector of point DD?
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