Solution
= Solution
Expanding the <cross product> componentwise gives
$$
(1,2,3)^T\times(3,2,1)^T
=(2-6,\ 9-1,\ 2-6)^T
=\boxed{(-4,8,-4)^T}.
$$
Its <dot product> with each original <vector> is zero, as required.
= Solution
Expanding the <cross product> componentwise gives
$$
(1,2,3)^T\times(3,2,1)^T
=(2-6,\ 9-1,\ 2-6)^T
=\boxed{(-4,8,-4)^T}.
$$
Its <dot product> with each original <vector> is zero, as required.