Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
Given a regular hexagon $ABCDEF$, where $\vec{AB} = \vec{p}$ and $\vec{BC} = \vec{q}$, express the v...
VectorsHexagonGeometric Transformations
2025/3/30
We are given a regular hexagon $ABCDEF$. We are given that $\vec{AB} = p$ and $\vec{BC} = q$. We nee...
VectorsHexagonVector AdditionGeometric Transformations
2025/3/30
The problem asks to find the midpoint and the equation of the line segment joining points A(-3, 2) a...
Coordinate GeometryLine SegmentMidpoint FormulaEquation of a LineSlope
2025/3/30
The problem asks us to find something (likely the distance or slope) given two points $P$ and $Q$ in...
Distance FormulaCoordinate GeometryEuclidean Distance
2025/3/30
We are given a regular hexagon $ABCDEF$. We are given that $\vec{AB} = p$ and $\vec{BC} = q$. We wan...
VectorsGeometryHexagonVector AdditionGeometric Properties
2025/3/30
Given a regular hexagon $ABCDEF$ where $\vec{AB} = p$ and $\vec{BC} = q$, express the vectors $\vec{...
VectorsHexagonGeometryVector Addition
2025/3/30
Given a regular hexagon $ABCDEF$, we are given that $\vec{AB} = p$ and $\vec{BC} = q$. We need to ex...
VectorsHexagonGeometric Vectors
2025/3/30
The problem states that $ABCDEF$ is a regular hexagon. We are given that $\overrightarrow{AB} = p$ a...
VectorsHexagonGeometric PropertiesVector Addition
2025/3/30
Given a regular hexagon $ABCDEF$ with $\vec{AB} = p$ and $\vec{BC} = q$, find the vectors $\vec{CD}$...
VectorsHexagonGeometric Vectors
2025/3/30
We are given a regular hexagon $ABCDEF$. We are also given that $\vec{AB} = \vec{p}$ and $\vec{BC} =...
VectorsGeometryHexagonVector Addition
2025/3/30