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:

Limited Partnership

A Limited Partnership is a form of partnership in which some partners contribute capital and enjoy a share of the profit but are not liable for the debts of the partnership beyond the amount they contributed.

Capitalization

The total market value of all of a company's outstanding shares, calculated by multiplying the share price by the total number of shares.

Profit Rate

The ratio of profit generated to the amount of capital or funds invested over a certain period, often expressed as a percentage.

Capitalization

It refers to the sum of a company's outstanding shares multiplied by its current market price, often used to gauge a company’s size and market value.