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3. (c) Answer the following questions with brief justifications. Find two vectors u and v such that uxv= (0,6, 0). The answer is not unique. (b) Give an example of a vector a such that proj, (2, 3, 4) = 2a. The answer is not unique. If yes, Does there exist a vector v such that (1, 2, 1) × v = (3, 1, 5)? find an example. If not, explain why.

3. (c) Answer the following questions with brief justifications. Find two vectors u and v such that uxv= (0,6, 0). The answer is not unique. (b) Give an example of a vector a such that proj, (2, 3, 4) = 2a. The answer is not unique. If yes, Does there exist a vector v such that (1, 2, 1) × v = (3, 1, 5)? find an example. If not, explain why.

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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the answers should match the 2nd pic ( answer key)

3. (a) Answer the following questions with brief justifications. Find two vectors u and v such that u × v = (0,6, 0). The answer is (c) not unique. (b) Give an example of a vector a such that proj, (2, 3, 4) = 2a. The answer is not unique. Does there exist a vector v such that (1, 2, 1) x v = (3, 1, 5)? If yes, find an example. If not, explain why.
Transcribed Image Text:3. (a) Answer the following questions with brief justifications. Find two vectors u and v such that u × v = (0,6, 0). The answer is (c) not unique. (b) Give an example of a vector a such that proj, (2, 3, 4) = 2a. The answer is not unique. Does there exist a vector v such that (1, 2, 1) x v = (3, 1, 5)? If yes, find an example. If not, explain why.
(a) π/2. (b) X = -2 +8t, y = 3 – 7t, z = t. (c) (1,2,2).
Transcribed Image Text:(a) π/2. (b) X = -2 +8t, y = 3 – 7t, z = t. (c) (1,2,2).
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