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Pixar in a Box

Course: Pixar in a Box > Unit 15

Lesson 2: Mathematics of rendering
Computing
Pixar in a Box
Rendering
Mathematics of rendering
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Ray intersection with plane

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Problem

We are using ray-tracing to create an image of a plane that's defined by the equation, 6, x, plus, 5, y, plus, z, minus, 30, equals, 0.
We draw a ray from the camera at coordinate left parenthesis, 0, comma, 0, comma, 0, right parenthesis, through a pixel at coordinate left parenthesis, 2, comma, 4, comma, 8, right parenthesis and find that it intersects with the plane at point I.
What are the coordinates of I? left parenthesis
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
,
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
,
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
right parenthesis
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