The University of Sydney - School of Mathematics and Statistics

The vector product of the standard basis vectors	Page 6 of 7

Using the definition of the vector product it follows that

1. i × i = j × j = k × k = 0
2. i × j = -(j × i) = k;
3. i × k = -(k × i) = -j;
4. j × k = -(k × j) = i;

Recall that, by convention, the triple i, j, k is always right-handed, so i, k, j is left handed and j, k, i is right handed.