1.Give some practical examples of Scalar product and Vector product. 2. Bring out the importance of Curl of a vector with an application. 3. Give a reason why the dot product of two vectors is known as the Scalar product?

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

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

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Q: Consider two sinusoidal voltages V1 and V2: v, (t) = 60v2 sin ( 140nt + v2(t) = 80v2 sin (140nt 3.…

A: Given that  v1t=602sin140πt4+5π6v2t=802sin140πt4-π3 write v1 and v2 into polar form…

Q: 7. Find the curl of the vector a = x²y²z²i + y²z²j+x²z²k.

A: curl of a vector is curlF=ijkddxddyddzfxfyfz

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: B. Unit vector is equal to: a. Vector divided by its magnitude. b. Magnitude divided by its vector…

A: We need to select correct option for unit vector

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

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Q: D=3xy2z/ax Detemine Dx at point P (6.6, -5, 6.3). Group of answer choices

A: ANSWER:- OPTION.C

Q: electric potential due to a positive charge is a vector that is directed radially away from the…

A: We know that an electric field has both magnitude and direction, the direction of the force on a…

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: To transform a current vector given in the stationary reference frame as i, = i%+ jïgs to a rotating…

A: Reference frames  theory is commonly used in the analysis of electric machines and power system…

Q: Using the power-angle characteristic illustrate the Critical Clearing Angle (CCA) for three…

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

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Q: A scalar field is given: A(x, y, z) = yx + zy + za, what is the curl(grad(A)) at (1,2,3). Answer:…

A: Please note that  Vector calculus the curl of gradient and divergent of curl are always zero So here…

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

A:

Q: a) A. A=0 ve A x A = 0 b) A.A=0 ve A x A # 0 c) A.A#0 ve A x A = 0 d) A.A#0 ve A x A # 0

A: Curl of vector = 0 is conservative vector  Divergence of vector = 0 is a solenoid vector

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: Get the expression for the Laplacian of a scalar field in spherical coordinates.

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Q: 1f you know that the vector calculate the value of cBi that make the vector ertically.

A: The solution is given below

Q: 1. A quantity can be either a scalar or a vector. A scaler has both magnitude and dired while, a…

A: Note: We are authorized to answer the first question since the exact one wasn’t specified. Please…

Q: Question 1 At the point (5, T1/4 , T1/2 ), the vector field A = ,2 cos 0î +2r p " is a %3D O A.…

A: if divergence of vector field is positive than vector field is called source . if divergence of…

Q: P1(2, 90, 3) to the SCs Find the equation of the vector starting from the CCS point P2(3, 60, 30)…

A: Given:CCS point, P1=(2,90o,3)SCS point, P2=(3,60°,30°)

Q: What is the resultant of vector A=2i +2j, and vector B= -2i+lj Select one: a. 3.5 b. 3 C. 5√2 d. √26…

A: Given data, A=2i+2jB=-2i+1j

Q: Given vector k-(4,9, 10, 22, 5, 15, 20, 7, 4, 8]. Use logical vectors: Part 1. count how many…

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Q: Prove that laplace of vector potential is "-mionot times the current density".

A: The general relation between the vector potential and the magnetic field strength is given as:

Q: Q2 Given the vectors: A = 3i + 2j – k and B = 5i +5j, find: a. The dot product A B. b. The…

A: Given, A = 3i+2j-k B = 5i + 5j

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

A:

Q: Q4: If, A = p²za, + 10 az. Find the curl of vector A p2

A: The given vector is A=ρ2zaρ+10ρ2az

Q: 6: Prove equalion of continuaty: V.J %3D using Maxwell equations.

A: We need to prove continuity equation

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: For the Vector Field E= xxy - 7 (x²+2y²) Calculate SE.dl around the triangular Countou shom m

A: In the given questions we need to calculate the integral of electric fields w.r.t time.

Q: ). The divergence of a vector is vector AND (1). The curl of a vector is a scalar. a.Statemet () is…

A: Divergence of a vector results into scalar. As divergence is dot product. Dot product results into a…

Q: Given vector A = [5,–8,5] and C = [1,4,–3]. Which is the angle between these vector, if we take the…

A: Scalar and vector product of vectors in Electric and magnetic field is very important to analyze the…

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…

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.