An angle between diagonals
Puzzling Asked on August 29, 2021
The diagonals of a square intersect at a right angle.
Is that true in three dimensions? I.e. would the two diagonals of a cube, each running from one corner of the cube to its opposite corner and crossing in the center, also cross at right angles?
One Answer
There are four diagonals of a cube, but none of them meet at right angles:
To see this, observe that
The two diagonals define a unique plane containing both of them. In that plane, the two cube diagonals are also the diagonals of a rectangle,
Correct answer by Rand al'Thor on August 29, 2021
Add your own answers!
Ask a Question
Get help from others!
Recent Answers
- Peter Machado on Why fry rice before boiling?
- haakon.io on Why fry rice before boiling?
- Joshua Engel on Why fry rice before boiling?
- Jon Church on Why fry rice before boiling?
- Lex on Does Google Analytics track 404 page responses as valid page views?
Recent Questions
- How can I transform graph image into a tikzpicture LaTeX code?
- How Do I Get The Ifruit App Off Of Gta 5 / Grand Theft Auto 5
- Iv’e designed a space elevator using a series of lasers. do you know anybody i could submit the designs too that could manufacture the concept and put it to use
- Need help finding a book. Female OP protagonist, magic
- Why is the WWF pending games (“Your turn”) area replaced w/ a column of “Bonus & Reward”gift boxes?