Question Use a normalized vector as the rotation of a transform

So let's say we have a box floating and rotating around freely in space.

I have a Vector3, let's say that it has the value of (-1,0,0). We can arbitrarily interpret this as "left".

I now want to spawn a pole or some elongated object that points left from the box, just based on this vector. Obviously, the pole should have some rotation around the vector, or around the x-axis in this case, but let's just say that this rotation should be the same as the box.

I know that I can get the direction of this vector, based on the box's current rotation by saying:

Code (CSharp):

1. Vector3 rotatedVector = box.transform.rotation * myVector;

However, how can I apply this rotation such that the rotation of the "pole" makes it "point" in the direction the vector points?

 

transform.rotation = Quaternion.LookRotation(rotatedVector);

converts a direction vector into a rotation.

It's not as common as

transform.LookAt(target)

, but pretty much does real work (LookAt first finds the difference between positions as a vector:

vec=target-transform.position

, then uses LookRotation(vec) to get the rotation facing that way, then auto-assigns it to our rotation).