(t)i + f₂(t) j and B(t) = g(t)i + g2 (t) j, t = [0, 1], where f₁f2, 81, 82 are continuous function B(t) are non-zero vectors for all and A(0) = 21+3j, A(1) = 61 +2j, B(0) = 31+2) 6^i. then show that A(t) and B(t) are parallel for some t.
(t)i + f₂(t) j and B(t) = g(t)i + g2 (t) j, t = [0, 1], where f₁f2, 81, 82 are continuous function B(t) are non-zero vectors for all and A(0) = 21+3j, A(1) = 61 +2j, B(0) = 31+2) 6^i. then show that A(t) and B(t) are parallel for some t.
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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Question
![Let A(t) = f(t)i + f₂(1) and B(t) = g₁(t)i + g₂(t)},t = [0, 1], where f₁f2, 81, 82 are continuous functions.
If A(t) and B(t) are non-zero vectors for all and 7(0) = 2î +3ĵ, A(1) = 6î +2), B(0)=31 +23 and
6i-
A
B(1) = 27 +6, then show that A(1) and B(t) are parallel for some t.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f8f2f4a-6016-4cb4-abfd-689c496f0fd1%2Fff7314c4-f503-4f54-aa99-087de67e6eae%2Fbest46x_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let A(t) = f(t)i + f₂(1) and B(t) = g₁(t)i + g₂(t)},t = [0, 1], where f₁f2, 81, 82 are continuous functions.
If A(t) and B(t) are non-zero vectors for all and 7(0) = 2î +3ĵ, A(1) = 6î +2), B(0)=31 +23 and
6i-
A
B(1) = 27 +6, then show that A(1) and B(t) are parallel for some t.
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