The work done by the vector field F(x, y) = (-y², ²) along the arc of the parabola y = 2x² - 4x + 2 from the point (1,0) to the point (0, 2) followed by the line segment from the point (0, 2) to the point (-1, 2) equals: O a. 6/55 O b. 77/15 O c. None of these. O d. 55/13 O e. 55/17 cross out cross out cross out cross out cross out

Q: Let a = (-3, –4, –4) and b = (2, 2, 4) . Find scalars s and t so that sa + tb = (20, 4, 32) %3D %3D

A: We have to find the values of scalers s and t for a=-3,-4,-4 and b=2,2,4.

Q: 2. Sketch at least ten arrows in the vector field: F(x,y)=(-2y)i + (x+1)j

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Q: Find the scalar and vector projections of b onto a. a = 3i- j + 4k, b =j + (1/2)k compab = projab =…

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Q: Vz(x, y) V + y have the Show that all the vectors in vector field F same length, and state the…

A: The length or magnitude of a vector a, b is defined as follows: a, b=a2+b2 Note ca, b=ca, b, where c…

Q: Express the vector below in Cartesian coordinate: B = 2r sin cosc a₁ + r cose cose aer sind a ax=…

A: Given: The vector, B=2rsinθcosφar+rcosθcosφaθ-rsinφaφ   To express: The given vector in cartesian…

Q: Compute the vector assigned to the points P = (1, 1) and Q = (-3, -3) by the vector field F = (-y,…

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Q: 4 В T(t+h) A 21 y 01 2

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Q: 41.) Use given grid to sketch the vector field F = (y, -x). Include vectors at all integers points…

A: Given vector field is F=12y,-x

Q: Find the angle between the surfaces x² + y² + z² = 49 and z = x² + y² - 7 at the point (3,-2, 6):

A: Since you posted multiple questions, as per Bartleby guidelines we are answering here first…

Q: A sodium ion (Na+) moves in the xy-plane with a speed of 2.90 ✕ 103 m/s. If a constant magnetic…

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Q: Given ri = 3i - ej +In2 k, r2 = 5i + 7 e'j - 4 k and r3= 7i-7j+ k. Find the unit vector of (a)…

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Q: Let C₁ be the line segment from the point (-4, 8) to the point (2, -4), C₂ be the arc on the…

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Q: Sketch the vector field. F(z, y) = (- 2 2 2 0 2 -2 0 -2 2 -2 2 -2 -2 2 -2 4- -4 -3 -2 -1 2 3 -2 -3-…

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Q: 2. A vector field is specified as G = 24xy ā, + 12(x² + 2)ā, + 18z²ā,. Given two points, P(1, 2, -1)…

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Q: 4. a) b) Let x = 27 + 3j - k, y = i- j + 4k and Z = −3ỉ + ]. Express the vector x – ỷ – 3ž in terms…

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Q: Let z = 2i and w=3-i. Locate the numbers 2z+w, z-3w vectorially.

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Q: Compute the curl of the vector field F = -4zi - 5y 3-4x k. =url= =

A: Given,  The Vector Field,F→=-4zi-5yj-4xk The Curl of the vector field is to be calculated.

Q: Find the curl of the vector field F (6x sin(y), 2y cos(x)). curl F =

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Q: Please answer and write correctly and neatly. Given the vector field Ā= 2x2y ax – 2(z-x) ay + 3xyz…

A: Given That : Vector field  A→=2x2yax-2(z-x)ay +3xyzaz Point P=(2,-3,4)  To Find : d) y coordinate of…

Q: If F = ⟨F1, F2, F3⟩ what is div (curl(F))

A: F = ⟨F1, F2, F3⟩

Q: Suppose F = (2y, -2x). Complete the following table of values of F. Values of F y = 1 y=0 y = -1 x =…

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