Long description: block6fig1

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A three-dimensional coordinate system shows a plane and several lines drawn on it with labeled points and vectors.

Alt text: A three-dimensional coordinate system shows a plane and several lines drawn on it with labeled points and vectors.

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  • The image displays a three-dimensional Cartesian coordinate system with axes labeled \(x\), \(y\), and \(z\).
  • A flat, gray plane intersects the positive \(x\), \(y\), and \(z\) axes.
  • Several points and lines are marked on or related to the plane, including the origin labeled \(O\).
  • Lines labeled \(a\), \(r\), and \(b\) are drawn from the origin \(O\) to points on the plane, suggesting projection or displacement vectors.
  • The segment labeled \(a\) lies along a line in the \(x-y\) plane or parallel to it.
  • The segment labeled \(b\) lies along a line in the \(x-y\) plane or parallel to it.
  • A point labeled \(P\) is shown on the plane, and line segment \(r\) connects the origin \(O\) to this point \(P\).

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