Grade 12 math · D.3 · Vectors
Find dot products and perpendicular vectors
Multiply matching components and add. Perpendicular vectors have dot product 0.
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Find the dot product ⟨1, −1⟩ · ⟨3, 1⟩.
Answer: 2
Find the dot product ⟨−2, −4⟩ · ⟨1, 5⟩.
Answer: -22
Find the dot product ⟨−5, −1⟩ · ⟨4, 3⟩.
Answer: -23
Tip: Multiply matching components and add. Perpendicular vectors have dot product 0.
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