A point R is located in the free space at (x,y,z) coordinates of (-5, 5, 5) with two vectors of F₁ =Sya²-5ay + 3yk and F₂=3a22+3y23-522k, find the following:1. F₁ and F₂ at R2. The divergence of (F₁x F₂) at R3. The vector component of F(R) in the direction of F₂(R)4. The angle between Fi(R) and F₂(R)

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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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A point R is located in the free space at (x,y,z) coordinates of (-5, 5, 5) with two vectors of Fi Sya²-5ay + 3yk and F₂-3a22+3y23-522k, find the following: 1. F and Fat R 2. The divergence of (Fix F₂) at R 3. The vector component of Fi(R) in the direction of F(R)