The architect designed the building geometrically.
She arranged the furniture geometrically in the room.
The garden was landscaped geometrically with straight lines and right angles.
The artist painted a geometrically patterned artwork.
The city was planned geometrically with a grid layout.
The sculpture was created using geometrically precise measurements.
The computer program generated a geometrically symmetrical design.
The jewelry designer crafted geometrically inspired pieces.
The mathematician explained the concept geometrically using shapes and angles.
The fashion designer incorporated geometrically patterns into the clothing collection.
The spell grew geometrically, as it rippled through the air.
This paper is about designing and creating furniture with pieces that are geometrically interlocked.
Here nature had done her work geometrically, with square and compass and plummet.
" But even so, the art of living demonstrated geometrically" ?
And this is one of hundreds of ways in which this typeface was designed to look geometrically perfect, even though it's mathematically not.
The important part here is to know what that cross product vector geometrically represents.
So the answer that we found earlier computationally, using that special notational trick, must correspond geometrically to this vector.
There's no nonsense with basis factors stuck in a matrix or anything like that, just an ordinary determinant returning a number geometrically.
Geometrically, this matrix transforms our grid into jennifer's grid, but numerically it's translating a vector described in her language to our language.
But several commenters have asked about non square matrices, so I thought I'd take a moment to just show what those mean geometrically.
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