- #1

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- 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?