Find the Distance Between the Planes $5 x - 2 y + z - 4 = 0,5 x - 2 y + z + 6 = 0$

question 36

Multiple Choice

Find the distance between the planes. $5 x - 2 y + z - 4 = 0,5 x - 2 y + z + 6 = 0$

• A) \(\frac { 1 } { 6 }\)
• B) \(\frac { 1 } { 3 } \sqrt { 30 }\)
• C) \(\frac { 5 \sqrt { 30 } } { 6 }\)
• D) \(\frac { 5 } { 6 }\)
• E) \(\sqrt { 30 }\)

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Definitions:

Jurisdiction in Rem

A legal principle allowing courts to exercise authority over a property regardless of the owner's location.

Directed Verdict

A ruling by a court in favor of one party without the need for deliberation by the jury, usually because the evidence overwhelmingly supports one side.

Concurrent Federal Jurisdiction

The situation where both federal and state courts have the authority to hear and decide cases on the same issues.

Admiralty

Relating to maritime law, which governs nautical issues and private maritime disputes.