а)В %— х*уzа, + xza, P(1,—2, 3) b)C = rsinpa, + r²za, + zcospa, K(5,5,1) I.verilen vektör alanlarının diverjantını alarak verilen noktalarda vektör alanlarının büyüklükleri nedir ? Il.verilen vektör alanlarının rotasyonlarını alarak verilen noktalarda vektörleri bulunuz

Q: Z = 3.1 KOL65° Z2 = 6.1 kOL-15° 1. Zr = Reose Rsino Ex = Ey = %3D

A:

Q: For the vector field F-E rî, which of the following integrals may be used to find the flux exiting…

A: ANSWER:- OPTION.E

Q: B. The vector q =(4,-2, 1) ends at the point P=(7,-7,2). At what point does the vector start?

A:

Q: A vector field is given by A = 3xyî - y ĵ. Find J. A .dl. where 'c' is the curve y = the x-y plane…

A: Given values are - A→=3xyi^-y2j^Curvey=2x2Pointx,y from 0,0 to 1,2

Q: Explain the meaning of a uniform vector field. Provide an example of the vector field in Spherical…

A:

Q: Given vectors à = £2 – ŷ + î3 and B = £3 –- 22, find a vector C whose magnitude is 9 and whose…

A: Given vectors are –

Q: Given points P(4,3,0), Q(2,2,-2), T(4,3,3) forms a triangle. Find the unit vector in the plane of…

A: Given points P4,3,0, Q2,2,-2,T4,3,3 forms a triangle.The given points P4,3,0, Q2,2,-2,T4,3,3  lie in…

Q: when vi = 8 units at 70°, v2 = 20 units at 140° and v3 = 15 units at 150°. v4 22 units at 230°,v5 =…

A: This question belongs to electro magnetic field theory . It is based on magnitude and angular…

Q: For a vector field A(x,y,z) = 2x ✩, calculate the divergence at: i) x = 1 ii) x= -1 For a vector…

A:

Q: Problem [2] In the figure below, write F= 1000 lb in the Cartesian vector form. 6 ft 4 ft A F-1000…

A:

Q: Q1) Choose the correct answer from the following question. 1. The relation between vector potential…

A:

Q: A vector field representing wind speeds is given by v = 3z®y? î + 4z*j. A walker can take one of two…

A:

Q: find the vector of (1,-2,5)*(-4,7,3)

A: Step 1: Given, find vector by performing cross product between the vectors (1, -2, 5) and (-4, 7,…

Q: Q4) Consider an arbitrary vector A = Arâr + Agâô+A„âo in spherical coordinates and express in…

A:

Q: The vector field F is shown in the xy-plane and looks the same in all other horizontal planes. (In…

A: According to the question, the vector field F is shown in the xy-plane and looks the same in all…

Q: Consider the vector diagram shown in the figure below, calculate the power factor. X = 42 R= 3 N O…

A:

Q: 11. Writing Maxwell's equations in four vector form, prove that they are invariant under Lorentz…

A: Static Magnetic field- When charge q moves with the constant velocity or when current is DC, then…

Q: Let the vector space V be the vector space according to the addition e and scalar multiplication O.…

A: Dot product of two vector is given by : It can be 0 in three way either C=0, u=0 or

Q: Sketch the following vector fields by using arrows, wherein the length of the arrow is proportional…

A:

Q: Given vector field B-x a, + yz a, the volume integral of divergence of B within the volume of a cube…

A:

Q: Given the vector filed A= a, + (2xy+ x2 +z9 ay +(4x+ 2yz) az. The divergence of the vector field is…

A: Divergence The scalar result of the administrator del and a given vector, which gives a proportion…

Q: Determine the initial point of the vector whose terminal point is (3, -2, 2) 2. Find the…

A:

Q: Given these two vectors A = -10 ax + 4ay – 8az and B = 8 ax + 7ay – 2az, find: a.) Unit vector from…

A:

Q: 2. Define vector M = 20ax+ 18ay+ 10az and vector N = -10ax+ 8ay+ 15az. Find out.? (a) M + N, (b) M -…

A: As per guidelines i have answered only first three subparts

Q: P1. 16. Which of the following formulas can be used to determine the magnitude of a vector in an xy…

A: We need to select correct option for given statement

Q: What is the equation of the vector in a Cartesian coordinate system that originates from point A…

A: This question belongs to electro magnetic field theory . It is about position vector when Cartesian…

Q: At what angle does the force F = 6.23i – 2.38j + 4.92k makes with the x-axis?

A:

Q: Consider a vector field A = zāp – z²paz. a) Compute V X A. b) What is the best method for computing…

A:

Q: 1. Write the Maxwell's Equations in integral form and then transform them in differential (point)…

A: Maxwell’s equation: Gauss's law for electricity, Gauss's law for magnetism, Faraday's law of…

Q: What is the magnitude of the resultant vector's unit vector? (Resultant vector of the two vectors…

A: Force is applied in 3 dimension. Determine the resultant force?  Unit vector of resultant force?…

Q: How divergence of a 3D vector can be obtained in the Cartesian coordinate?

A: Divergence of 3D vector in Cartesian coordinate   let A be the 3D vector field then divergence of A…

Q: Q4. Find the angle that the vector A = 3î – 4ĵ makes with the positive x-axis Q5. Show that the…

A: The solution following questions are

Q: 3) Given vector fields C(x,y,z) = ya, and D(x,y, z) = 5a, answer the following questions a) Sketch…

A:

Q: S.P. 2-E V(r)=-=-â,at at all points in space. Find the expression A vector field V has a value V(r)…

A:

Q: The curl of a gradient of a scalar is always equal to…….

A: Answer :- The curl of a gradient of a scalar is always equal to Zero  Explanation :-   curl of a…

Q: O Vector cross-product O Curl operation O Divergence operation ● Del operation

A: We need to select correct option for given statement

Q: What is the magnitude of a vector in a Cartesian coordinate system that originates from the origin…

A:

Q: Two equal vectors have an angle of 22° and 48°, respectively, with respect to the positive x axis.…

A:

Solenoidal Vector Field

In Physics and Mathematics vector calculus attached to each point in a subset of space, there is an assignment of a vector in a field called a vector field.