Cross Product of a 3-D Vector?

Question

How do you calculate the cross product of a 3-D vector? What is the equation?

Answer 1

Take a look at this page as it is a great article about cross products


http://planetmath.org/encyclopedia/CrossProduct.html

Answer 2

You don't calculate the cross product of A 3-D
vector. You calculate it for 2 3-D vectors.
The way to do this for vectors u = a_1i + b_1j + c_1 k
and v = a_2i +b*2_j +c_2k is to evaluate the determinant
| i..... j ....k..............|
|a_1 b_1 c_1 |
|a_2 b_2 c_2 |

From this you can easily deduce that
uxu = 0 and uxv = - vxu.

Answer 3

Set up the determinate:

| i j k |
| x y z | = i (yw-zt) - j (xw-zs) + k (xt - ys)
| s t w |

Answer 4

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