※ 引述《hothero (hothero)》之銘言：
: Please find a unit vector that is orthogonal to both vectors
: u=i-4j+k and v = 2i + 3j
| i j k |
u cross v = | 1 -4 1 |
| 2 3 0 |
= -3i + 2j + 11k
-3i + 2j + 11k
令 w = ----------------
|-3i + 2j + 11k|
-3i + 2j + 11k
則 w = --------------------
√(3^2 + 2^2 + 11^2)
1
= (-----)(-3i + 2j + 11k) 即為所求的單位向量
√134
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