Let $\mathbf { v } = 7 \mathbf { j }$

question 4

Multiple Choice

Let $\mathbf { v } = 7 \mathbf { j }$ and let $\mathbf { u }$ be a vector with length 5 that starts at the origin and rotates in the $x y$ - plane. Find the maximum value of the length of the vector $| \mathbf { u } \times \mathbf { v } |$ .

• A) \(| \mathbf { u } \times \mathbf { v } | = 5\)
• B) \(| \mathbf { u } \times \mathbf { v } | = 7\)
• C) \(| \mathbf { u } \times \mathbf { v } | = 35\)
• D) \(| \mathbf { u } \times \mathbf { v } | = 157\)
• E) \(| \mathbf { u } \times \mathbf { v } | = 1\)

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Definitions:

Marginal Revenue Product

The increased earnings resulting from the application of an extra unit of a resource, such as capital or labor.

Demand Schedule

A diagram indicating the volume of goods or services that purchasers intend and can afford to buy across a range of prices.

Purely Competitive Market

A market structure characterized by many buyers and sellers, free entry and exit, and a product that is identical across suppliers.

Profit-Maximizing Condition

A state where a firm's marginal cost is equal to its marginal revenue, leading to the highest possible profit.