Find 4 vectors such that
Hello, tttcomrader!
I don't understand the problem . . .
Find 4 vectors: . . . . They are unit vectors
and: . . . . . What does this mean?
If you meant: . , we have four mutually perpendicular vectors.
This is possible in dimensions greater than or equal to 4.
I asked the professor and I finally understand what he was writing, the correct question is:
Find 4 vectors such that
He also gave me a hint:
Consider the unite cube and the regular tetrahedron which vertices are among the vertices of the cube. Connect the center of the cube with the vertices of the tetrahedron.
Hello, tttcomrader!
It still has unanswered questions . . .
Find 4 vectors such that: . for .(unit vectors)
and: . . . I still don't know what means ... dot product?
And does it really equal e = 2.71828... ?
He also gave me a hint:
Consider the unit cube and the regular tetrahedron which vertices are
among the vertices of the cube. Connect the center of the cube with
the vertices of the tetrahedron. . Then what?
Place the cube in the first octant with one vertex at the origin.
The vertices are: .
are the vertices of a regular tetrahedron with side .
The center of the cube is: .
Then: . . . (These are not unit vectors.)
Is there an original wording of the problem?
It is dot product.
I asked him how to do this, he explained to me a great deal, but I do not get any of it, as a matter of fact, I still don't understand what the question is asking. I don't think I'm a stupid person, after all I did finish my history BA and math BS with GPA over 3.6, but in this class, I"m completely lost no matter how hard I try...