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For problems 1- 2determine the dot product, ä-5. 1.ã =97 -sk , 6 = (3.-2,1) 2. lal- 1- and the angle between the two vectors is 8 = z.

For problems 1- 2determine the dot product, ä-5. 1.ã =97 -sk , 6 = (3.-2,1) 2. lal- 1- and the angle between the two vectors is 8 = z.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For problems 1- 2determine the dot product, ä-b. 1. ã=97 -Sk , 5 = (3.-2.1) 2. Jāl= F|- and the angle between the two vectors is 8 = x . For problems 3- 4 determine the angle between the two vectors. 3. p = 97 -j. ā=-3ī -6j 4 a=(4,0,-3). 5= 2ī + 10j-11k For problems 5- 6 determine if the two vectors are parallel, orthogonal or neither. 5. q = 7i -147- 21k, p=(-4,8,12) 6. ī = (5,0,-2), ē = (4,-7,10) 7. Given that a-b-6. Jā| - 4.3 and the angle between ä and 5 is e = determine if 5 is a unit vector or not. 8. Given p= (5,-2,.1) and 7 = (0,4,8) compute proj, . 9. Given ā =ī +35- 2k and 5 = -3i -4j +7k compute proj, 5. 10. Determine the direction cosines and direction angles for i = (5.2.-7).
Transcribed Image Text:For problems 1- 2determine the dot product, ä-b. 1. ã=97 -Sk , 5 = (3.-2.1) 2. Jāl= F|- and the angle between the two vectors is 8 = x . For problems 3- 4 determine the angle between the two vectors. 3. p = 97 -j. ā=-3ī -6j 4 a=(4,0,-3). 5= 2ī + 10j-11k For problems 5- 6 determine if the two vectors are parallel, orthogonal or neither. 5. q = 7i -147- 21k, p=(-4,8,12) 6. ī = (5,0,-2), ē = (4,-7,10) 7. Given that a-b-6. Jā| - 4.3 and the angle between ä and 5 is e = determine if 5 is a unit vector or not. 8. Given p= (5,-2,.1) and 7 = (0,4,8) compute proj, . 9. Given ā =ī +35- 2k and 5 = -3i -4j +7k compute proj, 5. 10. Determine the direction cosines and direction angles for i = (5.2.-7).
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