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

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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: For any vectors u, v, and w in V3, (u + v) X w = u X w + v X w.

A: In the solution the concept of cross product and addition of vectors is explained.

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

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

Q: c) Calculate the divergence of the vector: 2xy i + 5yj + 9k d) Calculate the curl of the vector:…

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

Q: 2. Given vectors A = 3ax + 4ay+az B = 2ay-5az a) Find the angle between the two vectors by dot…

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Q: Q4é Evaluate the flux of the vector field through the closed surface Surrounding the volume

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Q: The divergence of the vector field

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Q: P1. 26. Given vectors A, B, and C, evaluate 3|A|C - 2B if Ax = 7 Ay = 3 Az = -3 Bx = 1 By 2 Bz 3 Cx…

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Q: The vector fields are defined as A= aρ +2aφ +3az , B = 0.5αaρ +0.5βaφ -6az , both vectors are…

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

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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 the vectors below, find A • B A = 15a, + 12a, - 5az B = 10a, - 8a, %3D Select the correct…

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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…

A: Given  A and B are parallel  vector  find the alpha and beta

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→

Q: in coordinates, what is the cross product of atheta x az? show solution. thank you

A: Find the product of athetax az in cylindrical coordinates ?

Q: Find out the divergence of the following vector: A=4ax+3ay+2az ax, ay and az are unit vectors…

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Q: Given two vectors Y = 5ax+ 7ay - 5az and S = 7ax - 10ay - 5az, find the angle between Y and Ś using…

A: Any time domain signal can be sinusoidal, DC signal or any curve signal. Sinusoidal signals are…

Q: Question 4 The magnitude of the vector A=4+8+62 is:

A: Given data, The vector,  A→=4x^+8y^+6z^

Q: C= ax + 2ay - 3az and D= 4ax + 5ay-6az

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Q: Quèstion 5 In Cartesian coordinates, the position vector at point (3, 60, 1) is represented by…

A: In the question, choose the correct option,  The position vector at the point P(3, 60,1) is?…

Q: In Cartesian coordinates, the position vector at point (3, 40, 1) is represented by 1.5ax+2.59ay+az…

A: First we will convert given cylinderical coordinate system into Cartesian coordinate system  Then we…

Q: V = 10 V= R = 470 N I la) = (a) V = R = 330 N I (b) Fig. 3-2.2 Ohm's law test circuits. (a) Given…

A: The solution is given below

Q: Consider the vectors A =6ax+2kay+kaz and B = ax+4ay-4az  what value of k the two vectors A and B…

A: Given vectors, A =6ax+2kay+kaz  B = ax+4ay-4az

Q: Find the area of the triangle having vertices at P(1, 3, 2), Q(2, -1, 1), R(-1, 2, 3). Use dot or…

A: Dear student , kindly note that  Im getting answer different from the option , as a part of self…

Q: Two vectors are defined as A = ax + 2ay + 3az and B = 3ax + 2ay + az. Which of the following vector…

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Q: In Cartesian coordinates, the position vector at point (3, 80, 1) is represented by 2.29ax+1.93ay+az…

A: Choose the correct option In the cartesian coordinator, the position vector at the point P(3, 80,1)…

Q: Find the dot product and and cross product of vectors A and B where A = 6âx – 22 uax B = 8ŷ

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Q: Problem 1. Use a = 1Z120 and draw the following expressions in real-imaginary plane as a vector. •…

A: (a): For the first case: Drawing the given expression (5xa10) in a real and imaginary plane as a…

Q: QUESTION 8 Consider the complex number show below. Z4 = 42 – 90° Convert Za to rectangular form and…

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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).