benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / The point P=(1,2,3) is reflected in the xy-plane, then its image Q is rotated by 180^(∘) about the x-axis to produce R, and finally, R is translated by 5 units in the positive-y di…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The point P=(1,2,3)P=(1,2,3) is reflected in the xyxy-plane, then its image QQ is rotated by 180∘180^\circ about the xx-axis to produce RR, and finally, RR is translated by 5 units in the positive-yy direction to produce SS. What are the coordinates of SS?
Plain-text mathematical notation (without MathML)
The point P=(1,2,3) is reflected in the xy-plane, then its image Q is rotated by 180^(∘) about the x-axis to produce R, and finally, R is translated by 5 units in the positive-y direction to produce S. What are the coordinates of S?
Original LaTeX notation
The point $P=(1,2,3)$ is reflected in the $xy$-plane, then its image $Q$ is rotated by $180^\circ$ about the $x$-axis to produce $R$, and finally, $R$ is translated by 5 units in the positive-$y$ direction to produce $S$. What are the coordinates of $S$?

level

Level 3

type

Precalculus

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
0414fa46-e079-54df-8022-df5d8680b4e7
task_key
precalculus--test--0414fa46-e079-54df-8022-df5d8680b4e7
task_revision_id
1
config / split
precalculus / test

Official source

initial import