Point A,B,C have the coordinates(2,-1,3),(3,2,-4)and(-1,3,-2)respectively.
Find:
1)AB and BC
2)vector product ABxBC
vector equation
2012-12-24 9:12 am
回答 (1)
2012-12-24 3:22 pm
✔ 最佳答案
(1) OA = (2, -1, 3)OB = (3, 2, - 4)
AB = OB - OA = (3, 2, - 4) - (2, -1, 3) = (1, 3, - 7)
OC = (-1, 3, - 2)
BC = OC - OB = (-1, 3, -2) - (3, 2, - 4) = (- 4, 1, 2)
(2)
AB x BC = | i j k |
| 1 3 - 7 |
| - 4 1 2 |
= (6 + 7)i - (2 + 28)j + (1 + 12)k
= 13i - 30j + 13k
收錄日期: 2021-04-13 19:12:51
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