Quèstion 5 In Cartesian coordinates, the position vector at point (3, 60, 1) is represented by 1.5ax+2.59ay+az 2.29ax+1 93ay+taz Wines 0.52ax+2.954ay+az 2.82ax+1 026ay+az ENG 4) a T-T//TV

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

A: Given: Two vectors are defined as: A=ax+2ay+3azB=3ax+2ay+az To find: Which of the following vector…

Q: Quèstion 30 The vector fields are defined as A= ap +2ag +3az, B В - 0 4aap +0.4Bao 6az, both vectors…

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Q: Given that position vectors of points T and S are 4ax + 6ay - az and 10ax +12ay+8az, respectively…

A: This question belongs to electro magnetic field theory . It is based on the concept of basic laws of…

Q: Two vectors are defined as A = a,+ 5a, +3a, and B = 3a,+2a, + a,. Which of the following vector is…

A: To find the perpendicular vector to (A+B)

Q: Find the vector component of G that is perpendicular to F.

A: Brief description : Vector is a quantity which have both magnitude as well as direction. Two vectors…

Q: Question 13 The angle that vector A =2ax+3ay+4az makes with y-axis is 56.14 42.03 68.19 76.82

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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: 3\ Find A that makes the two vectors : u = 2i + 3j – 4k ü= 3i - Aj +3k orthogonal ?

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

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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: lôn 24 The vector fields are defined as A= ao +2am +3az , = 0.1aao +0.1Bao -6az , both vectors are…

A: If A and B are parallel then the angle between them is 0. Hence the cross product of them is 0.

Q: Question 7 The vector fields are defined as A= ap +2ad +3az , B = 0.25aa, +0.25Ba -6az , both…

A: Choose the correct option The value of alpha and beta in the given vector ?  If both vector are…

Q: till 11.40 you need to u Xa R, X R, X2 R, U Ω Ω Ω Ω Ω V U I 100 48 64 6. 12 7 200 I, R., I. jX R2 U…

A: Nodal Analysis - It is used to find node voltage using Kirchhoff's current law. Kirchhoff's current…

Q: 1. Show that the necessary and sufficient condition for two nonzero vectors A and B to be…

A: Given two non zero vectors A and B . The dot product of two vectors is give by     A.Bcos(K) where K…

Q: A Moving to another question will save this response. estion 19 The vector fields are defined as A=…

A: Given  Two vectors are parallel find alpha and beta value

Q: Test Your Understanding of above Section; arrange the following vectors in order of their magnitude,…

A: This question can come under the concept of the basics of vectors and the magnitude can be found as…

Q: 2.) Find the vector component of F = 10ax – 6ay + 5az that is parallel to G = 0.1ax + 0.2ay + 0.3az

A: find the vector component of F that is parallel to G ?

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: 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: 4. Use Vectors to find the length of the diagonal of the parallelogram determined by (itj) and…

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Q: 2. If A = ax + 3az and B = 5ax +2ay - 6az. Find the Dot product of vector A and B O 120.6 degrees O…

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

A: Given  Both parallel  vector  Find alpha and beta

Q: P1. 35. Determine the location of a point in the cylindrical coordinate system if rcose is equal to…

A: In this question we need to find a location of a point in the cylindrical coordinates system

Q: Question 17 The vector fields are defined as A= ap +2ao +3az, B = 0.1aap +0.1Bao -6az , both vectors…

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Q: QI) vectors A = 2 ax + 4 ay, C 6 ay - 4 az find the smaller angle between them using the cross…

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Q: Given the system represented in state space as follows: * -7 6 * =|-5 4 3 x+ -8] 7 y = [9 9 8]x…

A: Given X  ˙=Ax+Bu Y=Cx+Du A=-1-76-54347-85 B=-5-15 C=998

Q: V154 D1.3. The three vertices of a triangle are located at A(6,-1,2), B(-2,3,-4), and C(-3,1,5).…

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Q: Q1) For the two vectors: A = - ay +2az, B= 3ax - 2ay + az find: 1) 2A+ B 2) the angle between A and…

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

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Q: If: A=10 ax - 4 ay + 6az B= 2 ax + ay Find: a- Component of A in ay b- Magnitude of 3A-B c-…

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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: Consider the vectors A =4ax+2ka,taz and B= ag+4ay-16a, what value of k the two vectors A and B will…

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Q: 2. Convert the vector A RAR+0 Ao + A into Cartesian coordinates.

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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…

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Q: The vector fields are defined as A= ap +2ao +3az , B = 0.25aap +0.25ßag -6az , both vectors are…

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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: QI: Find all unit vectors parallel to JZ plane and perpendicular to the vector ū = 5i -j + 2k %3D

A: Vector which is parallel to YZ plane is, This vector is perpendicular to Therefore, dot product of…

Q: Question 7 Two vectors are defined as A = ax + 2ay + 3az and B = 3ax + 2ay + az . Which of the…

A: To find a vector perpendicular to vector A+B

Q: 28. Find the magnitude of a curl of the vector at point (1, 1, −0.2); F = 30 ax + 2xy ay + 5xz² az…

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Q: +3az , 0.5dap +0.5ßað -baz , both vectors are parallel then a and B are respectively (-4,-8)…

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Q: The vector fields are defined as A= ap +2ao +3az, B = 0.1aap +0.1Bao -6az , both vectors are…

A: Given  Find the value of alpha and beta

Q: Q. Two vectors are defined as A = a,+5a, +3a, and B = 3a,+ 2a, + a,. Which o the following vector is…

A: Perpendicular vector of A+B Where A = ax +5ay+3az  B= 3ax +2ay +az

Q: The vector fields are defined as A= ap +2ao +3az, B = 0.5aap +0.5ßam -6az , both vectors are…

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Q: Consider the vectors A =4ag+2ka,taz and B = ax+4ay-8az what value of k the two vectors A and B will…

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Q: 1) Given vector A 6ax + ay, express A in cylindrical and spherical base vectors. 21 Given vector A =…

A: In this question vector A is given....We have to convert it in different coordinate system.....…

Q: S= 12a_r + 5a_e + Tta_o and T = 2a_r + 0.5rta_e are two vectors at point (2,TL,T/2) and (5,T/2,T/2),…

A: Vector fields- Vector fields is a set of vectors defined in relation to a function so that each…

Q: 28. Find the magnitude of a curl of the vector at point (1,1, −0.2); F = 30 ax + 2xy ay + 5xz² a₂ a.…

A: 28.  Find the magnitude of curl of the vector at point (1,1,-0.2) ; F=30 ax+2xy ay+5xz2 az Options…

Q: QI: Three vectors extending from the origin are given as r = 7ax + 3ay - 2a: r2 =-2ax + 7ay – 3az r3…

A: Angle between vector r1-r2 and r1-r3  Angle between two vector give by  Cos(angle) = A. B/(|A||B|)…

Q: Please evaluate this , where the LHS is epsilon integral over Volume V Electric field vector • ds…

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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).