The vector $\mathbf { u } = \langle 3800,5400 \rangle$ gives the number of units of two models of laptops produced by a company.The vector $\mathbf { v } = \langle 1350,1000 \rangle$ gives the prices (in dollars) of the two models of laptops, respectively.Identify the vector operation used to increase revenue by 3.5%.
A) $\mathbf { u } \cdot ( 1.035 ) \| \mathbf { v } \|$
B) $1.035 ( \mathbf { u } \cdot \mathbf { v } )$
C) $1.035 \left\| \mathbf { u } ^ { * } \mathbf { v } \right\|$
D) $1.035 \| \mathbf { u } \| \cdot \mathbf { v }$
E) $1.035 ( \mathbf { u } + \mathbf { v } )$

Question

Quizplus · Accepted Answer

To increase revenue by 3.5%, you multiply the current revenue by 1.035. The current revenue is found by the dot product of the units vector $\mathbf { u }$ and the prices vector $\mathbf { v }$, hence $1.035 ( \mathbf { u } \cdot \mathbf { v } )$ correctly represents this operation.

The Vector u=⟨3800,5400⟩\mathbf { u } = \langle 3800,5400 \rangleu=⟨3800,5400⟩ Gives the Number of Units of Two Models of Laptops

The Vector $\mathbf { u } = \langle 3800,5400 \rangle$ Gives the Number of Units of Two Models of Laptops