Solve the Problem $\left( \frac { 7 } { 3 } , \frac { 1 } { 3 } , - \frac { 5 } { 3 } \right)$

question 153

Multiple Choice

Solve the problem.
-Find the point on the line of intersection of the planes x + y + z = 1 and 3x + 2y + z = 6 that is closest to the origin.

• A) \(\left( \frac { 7 } { 3 } , \frac { 1 } { 3 } , - \frac { 5 } { 3 } \right)\)
• B) \(\left( \frac { 7 } { 3 } , - \frac { 1 } { 3 } , - \frac { 5 } { 3 } \right)\)
• C) \(\left( - \frac { 7 } { 3 } , \frac { 1 } { 3 } , \frac { 5 } { 3 } \right)\)
• D) \(\left( \frac { 7 } { 3 } , - \frac { 1 } { 3 } , \frac { 5 } { 3 } \right)\)

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Definitions:

Seafloor Spreading

The process by which new oceanic crust is formed at mid-ocean ridges and slowly moves away from the ridge, creating new seafloor.

Impact Crater

A depression on the surface of a planet, moon, or asteroid, created by the collision of a meteorite or comet.

Subduction Zone

A region of the Earth's crust where one tectonic plate moves under another, often causing volcanic activity.

Island Arc

A curved series of volcanic islands that arise from the ocean floor, typically near a convergence zone between tectonic plates.