[x1, x2, x3] [y1, y2, y3]
îÅ‚ Å‚Å‚
e1 e2 e3
ðÅ‚
[x1, x2, x3] × [y1, y2, y3] = det x1 x2 x3 ûÅ‚ ,
y1 y2 y3
e1 = [1, 0, 0] e2 = [0, 1, 0] e3 = [0, 0, 1]
" ×
îÅ‚ Å‚Å‚
x1
ðÅ‚
" x2 ûÅ‚
x3
"
[4, -1, 2] [0, 3, 1]
e1, e2, e3
îÅ‚ Å‚Å‚
e1 e2 e3
ðÅ‚ ûÅ‚
[4, -1, 2] × [0, 3, 1] = det 4 -1 2 = -e1 + 0 + 12e3 - 0 - 4e2 - 6e1 =
0 3 1
= -7e1 - 4e2 + 12e3 = -7 · [1, 0, 0] - 4 · [0, 1, 0] + 12 · [0, 0, 1] =
= [-7 · 1, -7 · 0, -7 · 0] - [4 · 0, 4 · 1, 4 · 0] + [12 · 0, 12 · 0, 12 · 1] =
= [-7, 0, 0] - [0, 4, 0] + [0, 0, 12] = [-7 - 0 + 0, 0 - 4 + 0, 0 - 0 + 12] = [-7, -4, 12].
[1, 2, 3] × [-1, -2, -1]
[2, -2, 0] × [3, 0, -1]
[0, -2, 4] [-6, 2, 2]
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