---
title: "MVC.PAR.2: Vectors and 3D Analytic Geometry (Georgia Mathematics standard)"
code: MVC.PAR.2
cite_as: Georgia Standards of Excellence, Mathematics, MVC.PAR.2
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/MVC.PAR.2
md_url: https://georgiahomeroom.org/standards/code/MVC.PAR.2.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/MVC.PAR.2.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# MVC.PAR.2: Vectors and 3D Analytic Geometry

Express spatial and functional relationships with vectors, functions, and analytic geometry in three dimensions, and use these relationships to solve contextual, mathematical problems.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- Express the relationships between points, lines, and planes in three dimensions.
  - **MVC.PAR.2.1**: Represent equations of lines in space using vectors.
  - **MVC.PAR.2.2**: Express the analytic geometry of three dimensions in terms of the dot product and cross product of vectors.
  - **MVC.PAR.2.3**: Use a linear system of equations to determine whether two planes intersect in a single point or a line, or whether they do not intersect at all.
- Explore functions of two independent variables of the form $z = f(x, y)$ and implicit functions of the form $f(x, y, z) = 0$.
  - **MVC.PAR.2.4**: Evaluate functions of two independent variables at a point in the plane.
  - **MVC.PAR.2.5**: Graph the level curves of functions of two independent variables.
  - **MVC.PAR.2.6**: Investigate the continuity of functions of two independent variables in terms of the limits of such functions as (x, y) approaches a given point in the plane.
  - **MVC.PAR.2.7**: Determine points or regions of discontinuity of functions of two independent variables.

## 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.