---
title: "LACS.GSR.3: Vectors in Context (Georgia Mathematics standard)"
code: LACS.GSR.3
cite_as: Georgia Standards of Excellence, Mathematics, LACS.GSR.3
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/LACS.GSR.3
md_url: https://georgiahomeroom.org/standards/code/LACS.GSR.3.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/LACS.GSR.3.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
---

# LACS.GSR.3: Vectors in Context

Solve contextual, mathematical problems involving vectors to explain real-life phenomena.

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

## Expectations

- Use vectors to find and interpret geometric relationships.
  - **LACS.GSR.3.1**: Use coordinates to represent points in *n* dimensions and define and use arithmetic operations on *n*-dimensional points.
  - **LACS.GSR.3.2**: Use vectors to find and interpret geometrical relationships between points in two and three dimensions, such as distance, and generalize these relationships to higher dimensions using *n*-dimensional vectors.
  - **LACS.GSR.3.3**: Interpret adding, scaling, and linear combinations of vectors geometrically and algebraically.
- Use the dot product and the cross product of two vectors to find and interpret geometric relationships.
  - **LACS.GSR.3.4**: Find and use the dot product of two *n*-dimensional vectors.
  - **LACS.GSR.3.5**: Use properties of the dot product to prove statements about vectors and to solve problems in context.
  - **LACS.GSR.3.6**: Use the triangle inequality in *n*-dimensions.
  - **LACS.GSR.3.7**: Find and use the cross product of two 3-dimensional vectors.
- Solve applied problems involving vectors using programming.
  - **LACS.GSR.3.8**: Represent and perform vector operations using programming language classes that define the use of vectors.
  - **LACS.GSR.3.9**: Apply perfect secrecy, all-or-nothing secret sharing, and solving lights out games to vectors over GF(2).
  - **LACS.GSR.3.10**: Use vector operations to program simple authentication schemes.

## 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.