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Course: Precalculus (Eureka Math/EngageNY) > Unit 2

Lesson 7: Topic E: First-person video games—projection matrices
Math
Precalculus (Eureka Math/EngageNY)
Module 2: Vectors and matrices
Topic E: First-person video games—projection matrices
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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, 6x+5y+z−30=0.
We draw a ray from the camera at coordinate (0,0,0), through a pixel at coordinate (2,4,8) and find that it intersects with the plane at point I.
What are the coordinates of I? (
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
,
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
,
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
)