3. The work Wdone by = xf + 3xyj - (x + z)k to move a particle from point 1 to point 2 is defined by W12 = S · di where , and z are corresponding position vectors. If f is perpendicular to the direction of motion, W =0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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True or false. Defend your answer. Show your solution if possible.
3.
The work Wdune by = xf + 3xryj - (x + z)k to move a particle from point 1 to
point 2 is defined by W12 = S} •dř where i, and i, are corresponding position
%3D
vectors. If f is perpendicular to the direction of motion, W =0.
If = x²zt – 2y°z²9 + xy²zk, then the divergence of F at (1,0,0) = -3.
4.
%3D
5.
Given: R = 3x?1 + 2zf – xk; thus, rot Ř = -i+ 2f – k.
Transcribed Image Text:3. The work Wdune by = xf + 3xryj - (x + z)k to move a particle from point 1 to point 2 is defined by W12 = S} •dř where i, and i, are corresponding position %3D vectors. If f is perpendicular to the direction of motion, W =0. If = x²zt – 2y°z²9 + xy²zk, then the divergence of F at (1,0,0) = -3. 4. %3D 5. Given: R = 3x?1 + 2zf – xk; thus, rot Ř = -i+ 2f – k.
DIRECTION: Å or PQ Is a vector (P is Initlal polnt and Q, the terminal polnt); the arrow
represents direction. A or m (no arrow above the letter) is a scalar quantity; the magitude ol
må (scalar mand vector Ả) is |m||Ã| = |mÃJ. '
Transcribed Image Text:DIRECTION: Å or PQ Is a vector (P is Initlal polnt and Q, the terminal polnt); the arrow represents direction. A or m (no arrow above the letter) is a scalar quantity; the magitude ol må (scalar mand vector Ả) is |m||Ã| = |mÃJ. '
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