Two Insects Are Crawling Along Different Lines in Three-Space $( x , y , z )$

question 67

Multiple Choice

Two insects are crawling along different lines in three-space. At time t (in minutes) , the first insect is at the point $( x , y , z )$ where $x = 4 + t , y = 5 - t , z = 5 + t$ . Also, at time $t$ , the second insect is at the point $( x , y , z )$ where $x = 4 + t , y = 1 + t , z = 5 t$ . Assume distances are given in inches. How close do the insects get? Round your answer to two decimal places.

• A) \(2.40\) inches
• B) \(3.71\) inches
• C) \(1.34\) inches
• D) \(4.91\) inches
• E) \(6.23\) inches

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Definitions:

Detailed Picture

An image or representation that includes a high level of detail, making it very clear and precise.

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To explain the meaning of or make sense of.

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Methods that yield descriptions of behavior but not necessarily causal explanations.

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Techniques and procedures used in science to study and manipulate variables to establish cause-and-effect relationships.