 #1
greg_rack
Gold Member
 363
 79
 Homework Statement:

Demonstrate that:
$$\vec{a}\times\vec{b}=\vec{b}\times\vec{a}$$
 Relevant Equations:
 none
That may sound really silly, and that may be due to my lack of understanding of the operations itself, but:
if ##\vec{a}\times\vec{b}=\vec{a}\cdot\vec{b}sin\theta##, being ##\theta## the angle between the two vectors, how could ##\vec{b}\times\vec{a}## be different? Wouldn't it be just the same magnitude(of course) and direction as those of the first case?
if ##\vec{a}\times\vec{b}=\vec{a}\cdot\vec{b}sin\theta##, being ##\theta## the angle between the two vectors, how could ##\vec{b}\times\vec{a}## be different? Wouldn't it be just the same magnitude(of course) and direction as those of the first case?