Saved Bookmarks
| 1. |
Two vectors represented as A=3i+4j and B=2i_4k find the unit vector parallel to |
|
Answer» tion:Solution:The given vectors area = 3I - j - 4k = (3,-1,-4),b== -2i+ 4j - 3k = (- 2, 4, -3) andc = i + 2j-k= (1, 2, -1)Then P = (3a - 2b + 4c)= 3 (3,-1,- 4) - 2 (- 2, 4, - 3) + 4 (1, 2, - 1)= (9, -3, -12) + (4, - 8, 6) + (4, 8, -4)= (9 + 4 + 4,-3-8+8, -12 + 6-4)= (17, -3, -10)= 17i - 3j - 10kNow the unit vector parallel to p is the unit vector along its DIRECTION; determined byp/p, where p=lpl= (17i - 3j - 10k) / | 17i - 3j - 10k |= (17i - 3j - 10k)/√(17² +3² +10²)= (17i - 3j - 10k) / √398 |
|