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Given u = ⟨root3, -1⟩ and v = ⟨3, –4⟩, what is u · v?

Answer:
3[tex]\sqrt{3}[/tex] + 4
Step-by-step explanation:
If u = < x₁, y₁ > and v = <x₂ , y₂ > , then
u • v = x₁x₂ + y₁y₂
Given
u = < [tex]\sqrt{3}[/tex], - 1 > and v = < 3, - 4 >, then
u • v = 3[tex]\sqrt{3}[/tex] + (- 1)(- 4) = 3[tex]\sqrt{3}[/tex] + 4