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)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 F₁ =
Sya²-5ay + 3yk and F₂=3a22+3y23-522k, find the following:
1. F₁ and F₂ at R
2. The divergence of (F₁x F₂) at R
3. The vector component of F(R) in the direction of F₂(R)
4. The angle between Fi(R) and F₂(R)
Transcribed Image Text: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 R 2. The divergence of (F₁x F₂) at R 3. 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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