Suppose $\vec { u } = \vec { i } + 3 \vec { j } + 5 \vec { k }$

question 11

Essay

Suppose $\vec { u } = \vec { i } + 3 \vec { j } + 5 \vec { k }$ .Find the vector $\vec { v }$ of shortest length with $\vec { u } \cdot \vec { v } = 41$ .

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Definitions:

Cash Paid Out

Money that is spent or disbursed by a business, often related to operating expenses, purchasing assets, or repaying liabilities.

Current Calendar Year

The period from January 1 to December 31 of the present year, used for financial and administrative purposes.

Selling Bonds at a Discount

This occurs when bonds are sold for less than their face value, often due to the prevailing interest rates being higher than the bond's coupon rate.

Cost of Borrowing

The total amount that a borrower pays to secure and use borrowed funds, including interest and any associated fees.