Draw the spin field F = - 2y + 2x j along with its horizontal and vertical components at a representative assortment of points on the circle x² + y² = 4. 2 First find the horizontal and vertical components of the vectors at the representative points (2,0), (√2,√√2), (0,2), (-√2,√2), (-2,0), (-√2₁-√2), (0, -2), and (√2,-√2), respectively, where v₁ corresponds to the first listed point, v₂ corresponds to the second listed point, and so on. V₁ = V3 = V4= V₂ = V6 = V5 = V7 = V8 (Type ordered pairs. Type an exact answer for each coordinate, using radicals as needed.)

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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Draw the spin field F = -
2y
√x² + x²
-i +
2x
-j along with its horizontal and vertical components at a representative assortment of points on the circle x² + y² = 4.
First find the horizontal and vertical components of the vectors at the representative points (2,0), (√2,√2), (0,2), (-√2,√√2), (-2,0), (-√√2,-√2), (0, -2), and
(√2,-√2), respectively, where v₁ corresponds to the first listed point, v₂ corresponds to the second listed point, and so on.
v₁ =
V3 =
V4=
V₂ =
V6=
V5 =
Vy=0
Vg =
(Type ordered pairs. Type an exact answer for each coordinate, using radicals as needed.)
Transcribed Image Text:Draw the spin field F = - 2y √x² + x² -i + 2x -j along with its horizontal and vertical components at a representative assortment of points on the circle x² + y² = 4. First find the horizontal and vertical components of the vectors at the representative points (2,0), (√2,√2), (0,2), (-√2,√√2), (-2,0), (-√√2,-√2), (0, -2), and (√2,-√2), respectively, where v₁ corresponds to the first listed point, v₂ corresponds to the second listed point, and so on. v₁ = V3 = V4= V₂ = V6= V5 = Vy=0 Vg = (Type ordered pairs. Type an exact answer for each coordinate, using radicals as needed.)
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