In Cartesian coordinates, the position vector at point (3, 40, 1) is represented by 1.5ax+2.59ay+az 0.52ax+2.954ay-az, 2.82ax+1.026ay+az 2.29ax+1.93ay+az

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

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Q: Find the divergence and curl of the following vectors: i. P=r sinø î +r²z® + z cos Ø 2 ii. Q = cos 0…

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

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Q: 9. All tangent lines of the parabola y = x2. Ans: (y')2 – 4xy' + 4y = 0

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Q: 3. The formula for differential volume in a spherical coordinate. a. r2 sin 0 dr d0 dø b. r? sin ф…

A: The spherical coordinate system can be represented as, Spherical coordinates are (r, θ, φ)

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

A: curl of a vector is curlF=ijkddxddyddzfxfyfz

Q: Find the unit vector

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Q: Obtain the differential equation of all the circles with center on line y - - x and passing through…

A: I am attaching detailed solution image of this question.

Q: Z; = 4.3 KQ230° Zz= 5.2 k0Z-60° 2. Zr = %3D Rcos0 Rsine Ex = Ey =

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other questions…

Q: Integral of Vector A= 2p sin(9)ap +0.5z2cos(p)az along L1 L2 L1 180° L3 30° -5 20 -12.5 12.5

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Q: The following vectors are given: M=-10ax+4ay-8az and N=8ax+7ay-2az. Find the unit vector in the…

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Q: Moving to another question will save this response. Question 14 The divergence of the vector field A…

A: The detailed answer is solved below according to the given parameters and instructions in the…

Q: In Cartesian coordinates, the position vector at point (3, 40, 1) is represented by 2.29ax+1.93ay+az…

A: It is conversion of cyclinderical to cartisian .

Q: Consider the vectors A =4ax+2kay+az and B = ax+4ay-4az what value of k the two vectors A and B will…

A: Orthogonal vector : vector those are perpendicular to each other .  Dot product is zero  Given two…

Q: Integral of Vector A= 2ρ sin(φ)aρ +0.5z2cos(φ)az along L2

A: integral (A.dl) is the line integral of the A along the path dl. Along the path L2 dl is a phi.

Q: 5. Find out the following line integral using Curl Theorem. C yzdx+xzdy + xydz

A: Given the Equation, ∮cyzdx+xzdy+xydz

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A: We need to calculate divergence and curl of given vector .

Q: for a plane lies at z=0 the Select one: a. ds = dxdya, b. ds = dzdya x %3D C. ds = dxdzay %3| d. ds…

A: Plane lies at z=0 means it will be on X-Y plane

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A: Brief description : From the given question we come to know that they have mentioned two position…

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Q: if two vectors are A=i-2j+k, B=3i+5j-5k, what are the components of B parallel and perpendicular to…

A: (−2i+4j​−2k)       and   (5i+j​−3k)Explanation:

Q: A = yar + ay + Vx2 + y? Transform from Cartesian to cylindrical coordinates.

A: In this question we will convert Cartesian yo cylindrical coordinates...

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A: It is a question related to property of parelleism .

Q: F=yax+(x-2xz)ay-xyaz In which option is the curl of the vector field correctly expressed? A.…

A: F=yax+(x-2xz)ay-xyaz In which option is the curl of the vector field correctly expressed

Q: Question 28 Consider the vectors A =4ax+2kayta, and B = ax+4ay-8a, what value of k the two vectors A…

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Q: In Cartesian coordinates, the position vector at point (3, 60, 1) is represented by…

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Q: Solve the given integral when c is a perfect circle to get a relation between H vector and I .

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Q: Vector Field C= «ty)ax+ xay tCy+zJQz D= (2ty)ax+ Yay + (xtD az A-B=? C- di Zxz +2zyt2xY+2y*+x°y²

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Q: The angular separation between the vectors A = 2 ax + Зау + 8az and B %3D 4ax - Зау + 6az is (in…

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Q: The vector fields are defined as A= ap +2ag +3az, B = 0.4aap +0.4ßa -6az , both vectors are parallel…

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Q: Given a = 3i + 2j and b = 6i –j, what is a + b? Draw the vector %3D %3D

A: given data - given 2 vectors                       a = 3i+ 2j                       b = 6i -j then…

Q: The divergence of the vector y ax + z ay + X az is

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Q: Solve the transformation problem of vector (M) into another coordinate system such as (cylindrical…

A: M=A+3ax→-3Bay→-3ax→+Caz→+2Bay→   =Aax→-Bay→+Caz→

Rectangular Coordinate System

In a rectangular coordinate system, each point based on the pair of coordinates is specified uniquely in the plane. From two fixed perpendicular lines, these coordinates are at a distance in the rectangular coordinate system. Each line is known as the reference axis and axes as plural. The point where they meet is called the origin (0,0).