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Georgia standard · Mathematics

EC.AR.33D Vectors and Analytic Geometry

Using the engineering design process, express spatial and functional relationships with vectors, functions, and analytic geometry in three dimensions, and use these relationships to solve real-life, contextual, mathematical problems and to explain engineering-based phenomena.

Appears in: Mathematics, High School

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Expectations

  • Express the relationships between points, lines, and planes in three dimensions.

    • EC.AR.3.1

      Determine the equations of lines and surfaces using vectors and 3D graphing.

    • EC.AR.3.2

      Apply dot and cross products of vectors to express equations of planes, parallelism, perpendicularity, angles.

    • EC.AR.3.3

      Describe the role of vectors in engineering applications, such as modeling the velocity of moving objects or static forces on structures and objects.

    • EC.AR.3.4

      Evaluate matrices and apply their properties to solve problems expressed as matrix equations.

  • Investigate functions of two and three independent variables to model engineering systems.

    • EC.AR.3.5

      Compute limits of scalar and vector-valued functions.

    • EC.AR.3.6

      Identify and graph level curves of multivariate functions.

    • EC.AR.3.7

      Find the regions of continuity of multivariate functions.

Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.

EC.AR.3: 3D Vectors and Analytic Geometry | Georgia Mathematics Standard | Georgia Homeroom