I would assume that those angles are with respect to the
positive coordinate axes?
We would then need to use these equations:
where
are the components of the vector
. These equations are used to find
direction cosines. They come in useful here.
In our case,
We want
to be rotated and have the new direction angles
. So let's see how we would calculate the equation of the new vector.
Let's find the x component first.
Since
, and
, we see that
Let's now find the y component,
Since
, and
, we see that
Let's now find the z component,
Since
, and
, we see that
So we now see that the "rotated" vector has the equation
Does this make sense?
--Chris