Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The bearings of ships A and B from a point P are $225^\circ$ and $116^\circ$ respectively. The dista...
TrigonometryLaw of SinesBearingsTriangle Geometry
2025/3/17
A house has a bearing of $319^\circ$ from point A. Point B is 317 meters due east of A. The bearing ...
TrigonometryBearingsLaw of SinesTriangles
2025/3/17
A girl starts at point A and walks 285m to point B on a bearing of $078^\circ$. She then walks due s...
TrigonometryBearingCosine RuleTriangles
2025/3/17
A girl starts from point A and walks 285m to point B on a bearing of 078 degrees. She then walks due...
TrigonometryBearingTriangleCosine RuleSine RuleCoordinate Geometry
2025/3/16
Given two vectors $\vec{a} = \vec{i} - \vec{j}$ and $\vec{b} = -\vec{i} + p\vec{j} + 2\vec{k}$ in $R...
VectorsVector ProjectionDot ProductMagnitude3D Geometry
2025/3/16
We are given a regular hexagon ABCDEF. We are given that $\vec{AB} = \vec{u}$ and $\vec{BC} = \vec{v...
VectorsHexagonGeometric VectorsVector AdditionRegular Polygon
2025/3/16
We are given a regular hexagon ABCDEF. We are given that $\overrightarrow{AB} = \vec{u}$ and $\overr...
VectorsGeometryHexagon
2025/3/16
The problem asks for the radius of curvature of a plane mirror. The possible answers are: (a) Zero, ...
CurvaturePlane MirrorRadius of CurvatureOptics
2025/3/15
The question asks: "What was the main challenge in calculating pi using pies?" The possible answers ...
PiCircumferenceDiameterMeasurementApproximationCircle
2025/3/14
The problem asks for the definition of a circle. The options are: A. A line of points equidistant fr...
CirclesDefinitionsGeometric Shapes
2025/3/14