A) $\left( \frac { 5 } { 7 \sqrt { 22 } } , \frac { 2 } { 7 \sqrt { 22 } } , \frac { 13 } { 7 \sqrt { 22 } } \right)$

question 109

Multiple Choice

$\text { Find a unit vector that is orthogonal to both } \mathbf { u } = \langle - 16 , - 12,8 \} \text { and } \mathbf { v } = \langle 20 , - 24 , - 4 \} \text {. }$

• A) \(\left( \frac { 5 } { 7 \sqrt { 22 } } , \frac { 2 } { 7 \sqrt { 22 } } , \frac { 13 } { 7 \sqrt { 22 } } \right)\)
• B) \(\left( - \frac { 5 } { 3 \sqrt { 22 } } , - \frac { 2 } { 3 \sqrt { 22 } } , - \frac { 13 } { 3 \sqrt { 22 } } \right)\)
• C) \(\left( \frac { 5 } { 3 \sqrt { 23 } } , \frac { 2 } { 3 \sqrt { 23 } } , \frac { 13 } { 3 \sqrt { 23 } } \right\}\)
• D) \(\left( - \frac { 5 } { 7 \sqrt { 23 } } , - \frac { 2 } { 7 \sqrt { 23 } } , - \frac { 13 } { 7 \sqrt { 23 } } \right)\)
• E) \(\left\{ \frac { 5 } { 3 \sqrt { 22 } } , \frac { 2 } { 3 \sqrt { 22 } } , \frac { 13 } { 3 \sqrt { 22 } } \right\}\)

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Definitions:

Economic Independence

The state of having sufficient personal wealth to live, without having to depend on income from some form of employment.

U.S. Army Corps

Refers to the U.S. Army Corps of Engineers, a federal agency under the Department of Defense that provides public engineering services in support of national security, emergency response, and infrastructure development.

Topographical Engineers

Military engineers specializing in the creation of detailed maps, especially those depicting the features and contours of the landscape, often used for strategic purposes.

Mexican Independence

The process which led to Mexico's freedom from Spanish colonial rule, officially starting in 1810 and culminating in 1821.