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-> (6) 금 AxB) at t-1 at t=1 (1) A X 4P

-> (6) 금 AxB) at t-1 at t=1 (1) A X 4P

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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**Question:** If \(\vec{A} = t^2 \hat{i} - t \hat{j} + (2t + 1) \hat{k}\), \(\vec{B} = (2t - 3) \hat{i} + t \hat{j} - t \hat{k}\), find: (i) \(\frac{d}{dt} (\vec{A} \times \vec{B})\) at \(t = 1\) (ii) \(\frac{d}{dt} \left( \vec{A} \times \frac{d\vec{B}}{dt} \right)\) at \(t = 1\)
Transcribed Image Text:**Question:** If \(\vec{A} = t^2 \hat{i} - t \hat{j} + (2t + 1) \hat{k}\), \(\vec{B} = (2t - 3) \hat{i} + t \hat{j} - t \hat{k}\), find: (i) \(\frac{d}{dt} (\vec{A} \times \vec{B})\) at \(t = 1\) (ii) \(\frac{d}{dt} \left( \vec{A} \times \frac{d\vec{B}}{dt} \right)\) at \(t = 1\)
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