Calculate v - w*r: Vector, Cross Product

[Isawyou0]

Hi!
seems crazy! but what if there is vx and vy?r is it a vector?
w*r can be a cross product?

 

[mathman]

It would help if you defined your symbols.

 

[berkeman]

Hi!
seems crazy! but what if there is vx and vy?r is it a vector?
w*r can be a cross product?

This wikipedia article should help: https://en.wikipedia.org/wiki/Angular_velocity

(see the part about particle motion in 3 dimensions...)

 

[Isawyou0]

yes, yes, means that v=wr gives v in one dimension, right!
I want to calculate relative velocity, v1 = v + wr - ( v' + w'r' ) ; since that v is in 2d(v for x and y in euclidean space, as a vector velocity);

 

[berkeman]

yes, yes, means that v=wr gives v in one dimension, right!
I want to calculate relative velocity, v1 = v + wr - ( v' + w'r' ) ; since that v is in 2d(v for x and y in euclidean space, as a vector velocity);

But the wikipedia page also shows the vector equation:

which, by the definition of the cross product, can be written:

 

[Isawyou0]

isn't it like:
v=w*r.perpendicular();