Find a Unit Vector That Has the Same Direction as the Vector

question 73

Multiple Choice

Find a unit vector that has the same direction as the vector $\langle 1,1,1 \rangle$ .

• A) \(\langle 1,1,1 \rangle\)
• B) \(( - 1 , - 1 , - 1 )\)
• C) \(\left( \sqrt { \frac { 1 } { 3 } } , \sqrt { \frac { 1 } { 3 } } , \sqrt { \frac { 1 } { 3 } } \right)\)
• D) \(\left( \sqrt { \frac { 1 } { 2 } } , \sqrt { \frac { 1 } { 2 } } , \sqrt { \frac { 1 } { 2 } } \right)\)
• E) \(\left\langle \frac { 1 } { 3 } , \frac { 1 } { 3 } , \frac { 1 } { 3 } \right\rangle\)
• F) \(\left\langle \frac { 1 } { 2 } , \frac { 1 } { 2 } , \frac { 1 } { 2 } \right\rangle\)
• G) \(\left\langle \frac { 1 } { 4 } , \frac { 1 } { 4 } , \frac { 1 } { 4 } \right\rangle\)
• H) \(\langle 1 , - 1,1 \rangle\)

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Definitions:

Forward Contract

A customized contract between two parties to buy or sell an asset at a specified price on a future date.

Exchange Gain

The profit resulting from foreign exchange transactions and the fluctuation in exchange rates, realizing a higher value in the home currency.

Net Loss

The amount by which total expenses exceed total revenues for a business during a specific period, indicating a financial loss.

Spot Rate

The current exchange rate at which a currency can be bought or sold for immediate delivery.