The vectors a, b and c are all unit vectors (length=1). The angle between all the pairs is .

What is the angle between and

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- Apr 8th 2009, 07:03 AMSpec[SOLVED] Angle between vectors
The vectors a, b and c are all unit vectors (length=1). The angle between all the pairs is .

What is the angle between and - Apr 8th 2009, 08:36 AMrunning-gag
- Apr 8th 2009, 12:02 PMSoroban
Hello, Spec!

I have a start on the problem . . . but that's all.

Quote:

The vectors are all unit vectors (length=1).

The angle between all the pairs is

Find the angle between and

Let be the angle between

Since . , we have: .

. . Similarly, we have: .

And I'm certain those will be used in subsequent calculations.

- Apr 8th 2009, 01:56 PMSpec
I solved it, but it wasn't pretty.

I'm not going to post all calculations, but that's basically how I solved it (and using the second dot product formula above). - Apr 9th 2009, 03:06 AMrunning-gag
That's it ! (Clapping)