Find 4 vectors such that

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- January 27th 2008, 11:15 AMtttcomraderFind vectors
Find 4 vectors such that

- January 27th 2008, 12:01 PMSoroban
Hello, tttcomrader!

I don't understand the problem . . .

Quote:

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.

- February 2nd 2008, 07:02 AMtttcomrader
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. - February 2nd 2008, 09:53 AMSoroban
Hello, tttcomrader!

It still has unanswered questions . . .

Quote:

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?

- February 2nd 2008, 03:07 PMtttcomrader
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...