1. Given ā = 31 -9j and 5=-6i +j compute each of the following. (a) 105 (b) 14ã + 205 (c)

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Given ä = 31 -93 and 5=-6i +j compute each of the following.
(a) 105
(b) 14ã + 205
(e) 85-
2. Find a unit vector that points in the same direction as a (10,-3,8,-2).
3. Find a unit vector that points in the opposite direction as č = 27 +7j-5k.
4. Find a vector that points in the opposite direction as ā = (-3,-14, 2) with a magnitude of 32.
5. Determine if i = (1,0, -4) and =(9,3,1) are parallel vectors.
Transcribed Image Text:1. Given ä = 31 -93 and 5=-6i +j compute each of the following. (a) 105 (b) 14ã + 205 (e) 85- 2. Find a unit vector that points in the same direction as a (10,-3,8,-2). 3. Find a unit vector that points in the opposite direction as č = 27 +7j-5k. 4. Find a vector that points in the opposite direction as ā = (-3,-14, 2) with a magnitude of 32. 5. Determine if i = (1,0, -4) and =(9,3,1) are parallel vectors.
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