Question

Define cross product and write it's property

Answer 1

Answer:

Explanation:

Like the dot product, the cross product has some nice properties. It's easy to see that  tex2html_wrap_inline718 .

Also if two vectors are going in the same direction, the cross product is zero. If the vectors are perpendicular then  tex2html_wrap_inline720 so that the magnitudes just multiply. Let's work out some of the cross products between unit vectors:

equation50

So now we should be able to work out the cross product in cartesian coordinates by multiplying out all of the components. It's a lot of work and the answer is

equation52

The component formula is usually the simplest way to work out problems involving cross products.