4. Use the equation below to answer the following questions. I = |Z| cos() + I cos (2) y a) Use algebra and vector math to generate a scalar equation that is algebraically solved for. You might use the relationship that I x = L. and L=L, to simplify your expression. b) if L, = -2.4 and |Z| = 3.764, numerically solve for the angle À using your expression from (a).
4. Use the equation below to answer the following questions. I = |Z| cos() + I cos (2) y a) Use algebra and vector math to generate a scalar equation that is algebraically solved for. You might use the relationship that I x = L. and L=L, to simplify your expression. b) if L, = -2.4 and |Z| = 3.764, numerically solve for the angle À using your expression from (a).
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
![**Problem 4: Vector Analysis**
Use the equation below to answer the following questions:
\[
\vec{L} = |\vec{L}| \cos(\psi) \hat{x} + |\vec{L}| \cos(\lambda) \hat{y}
\]
a) Use algebra and vector math to generate a scalar equation that is algebraically solved for \(\lambda\). You might use the relationship that \(\vec{L} \cdot \hat{x} = L_x\) and \(\vec{L} \cdot \hat{y} = L_y\) to simplify your expression.
b) If \(L_y = -2.4\) and \(|\vec{L}| = 3.764\), numerically solve for the angle \(\lambda\) using your expression from (a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbac5240b-2cb0-46ee-b04c-8db0831d9625%2F60633416-ccef-4edc-bcb6-41b9abc64a2b%2F26olra_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 4: Vector Analysis**
Use the equation below to answer the following questions:
\[
\vec{L} = |\vec{L}| \cos(\psi) \hat{x} + |\vec{L}| \cos(\lambda) \hat{y}
\]
a) Use algebra and vector math to generate a scalar equation that is algebraically solved for \(\lambda\). You might use the relationship that \(\vec{L} \cdot \hat{x} = L_x\) and \(\vec{L} \cdot \hat{y} = L_y\) to simplify your expression.
b) If \(L_y = -2.4\) and \(|\vec{L}| = 3.764\), numerically solve for the angle \(\lambda\) using your expression from (a).
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