Long description: block3fig2

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A three-dimensional coordinate system shows a line passing through the origin, with an angle marked between the line and the positive y-axis.

Alt text: A three-dimensional coordinate system shows a line passing through the origin, with an angle marked between the line and the positive y-axis.

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  • The image displays a three-dimensional Cartesian coordinate system with labeled axes: the x-axis, the y-axis, and the z-axis.
  • A straight line originates from the point \((0, 0, 0)\) (the origin) and extends into the first octant.
  • A point labeled \(P(a, b, c)\) lies on this line, indicating its coordinates relative to the origin.
  • An angle is explicitly marked at the origin between the line segment connecting the origin to \(P(a, b, c)\) and the positive y-axis. This angle is denoted with a degree symbol and a corresponding variable (implied by the notation) for measurement.

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