2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, – 7.5az, Show that A and B are dependent vectors.

Q: 2. If A = 2a, + 6a, – 3a, and B = - 3n, – 4a, - Sa,, find: (a) a unit vector in the direction of A -…

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

A: This question belongs to basic electrical . It is based on the concept of basic laws of vector…

Q: Q1.If à = 2a, + a, - 3a, and B = 4ax + 2a, – 3a, are vectors, find (only two): (a) Ả ·B (b) ẢxB (c)…

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Q: Show that the following vectors are orthogonal: Ā= 4a, + 6ã, – 2ã, and B= -2ä,+ 4ã, + 8ã:

A: Note : We are authorized to answer one question at a time, since you have not mentioned which…

Q: Given vectors A a, + 3a, and B = 5a, + 2a, 6a, determine %3D (a) A + B (b) 5A - В (c) The component…

A: Given two vector  A=ax+ 3az B= 5ax+2ay-6az |A+B|=?  5A-B ?

Q: 7. The distance vector from point A (2, –3,1) and B(1,5, –3) а. —ах + 8ау — 4а, - b. а, — 8аy + 4a,…

A: The solution is given below

Q: 3. 4. 9. 8. 6. 10 A Moving to another question will save this response. Question 4 Let vector…

A: Need to find Gy for the given conditions

Q: O1: - Calculate the angle between two vectors M=2 ax +4 ay and N= 6 ay - 4 az using a) The cross…

A: Given vectors are M→=2a^x+4a^y=(2,4,0) N→=6a^y-4a^z=(0,6,-4) a) Cross Product: By using cross…

Q: 14. If the angle between the vectors A = xâ +â andB = V3â +â is 60°, find X,

A: We need to find out value of unknown for given angle

Q: Q1: - Calculate the angle between two vectors M= 2 ax + 4 ay and N = 6 ay 4 az using a) The cross…

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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: Find a · b and the angle between the vectors a and b, given that a = i+2j + 3k and b = 2i – j– 2k.…

A: Given vectors are -

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: 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: Find whether the vectors are parallel, (-2,1,-1) and (0,3,1)

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Q: 9. Find the sum of vectors A (2, –3, 1) and B(1,5, –3) а. —ах + 8а,у — 4а, b. а, — 8аy + 4a, - С.…

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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: 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: Q1: - Calculate the angle between two vectors M= 2 ax + 4 ay and N= 6 ay - 4 az using a) The cross…

A: By cross product M×N=M×Nsinθ we will find angle between M and N By dot product M.N= M×Ncosθ

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: ri = 2a, + 4ay 5az r2 = ax + 2ay + 3a, Find the unit vector parallel to the resultant of vectors and…

A: We need to find out unit vector of resultant vector .

Q: 1. If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w? 2.…

A: Given u = (3, 3), v = ( 13, -7) and 2w + 3u - v = (4, -4) Then find for w ?

Q: The vector G = xa, хах + yay + za, is Solenoidal.

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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: 1.) Given vectors A = aa, + a, + 4a, B = 3a, + Ba, - 6a, and C = 5a, - 2a, + ya, determine a, B, and…

A: The solution is given below

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: 16. Determine a scalar c so that the given vectors are orthogonal. (b) a = (c, ½, c), b = (−3, 4, c)

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Q: 5. determine if the two vectors are parallel, orthogonal or neither a) q = (4,-2,7), p = -3i +j+ 2k…

A: a) Given  Two vectors  q=4i-2i+7p=-3i+j+2k

Q: Check whether the two following vectors are parallel or not: A=(-2,1,-1) B=(0,3,1)

A: The given vectors can be written as

Q: The displacement vectors A and B shown in the figure below both have magnitudes of 3.90 m. The…

A: The magnitude of vector A and B are 3.9 m Angle of A  wrt X = 22

Q: Q3. Prove that (only one): ay-dy is a unit vector? a- b- I = 6a, - 3a, + 2a, and M = 3a, + 2a, - 6a,…

A: From the basic properties of Vectors

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

A:

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

A: If two vectors are parallel then cross product between them is zero. We will use above to find two…

Q: In Problems 23 and 24, find a + (b + c) for the given vectors. 24. a = (1, 1), b = (4, 3), c = (0,…

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Q: ctor A-2ax+ay+2az and vector B=2ax+ay+2az, the cross product of A and B is

A: Here the ans is option d.

Q: Give a reason why the dot product of two vectors is known as the scalar product

A: Suppose there are two vector that is A and B, A→=Axi^+Ayj^+Azk^B→=Bxi^+Byj^+BZk^ Now, multiplying…

Q: Given A = -4a, + 2a, + 3a, and B = 3ax + 4ay - az, find: a. The magnitude of 5A - 2B b. A unit…

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Q: 2. If A = 2a, + 6a, – 3a, and B = – 3a, – 4a, – 5a,, find: (a) a unit vector in the direction of A –…

A: Since you have posted the multiple questions so we are supposed to answer the 1st one.

Q: If vectors A = a, + a,, B = a, -az and C = 2a, + a,. Find A x B а. 2а, — а, — 2a, b. – 2az – ay +2a,…

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Q: Find the unit vector perpendicular to the 4x - 3y +z + 5 = 0 plane. Lütfen birini seçin: А.(4а, -…

A: Unit vector perpendicular do the plane , 4x-3y+z+5=0 can be find by using gradient. Gradient provide…

Q: The vector fields are defined as A=a +2a, +3a, B= 2aa +2Ba -6az, both vectors are parallel then a…

A: Two vectors are parallel if one of them is scalar multiple of other. We have,…

Q: In dot product two vectors are perpendicular to each other, then the resultant vector is non zero.…

A: According to question we have to find the dot product of Vector

Q: 4. determine the angle between the two vectors v= (1,2,3,4), w = (0,-1,4,-2)

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Q: Transform given vector A into spherical system. A = xax +y ay + z az

A: The given is cartesian coordinates are given by (x,y,z) the spherical coordinates are expressed in…

Q: 2. Transform the ff. vectors to spherical coordina b) 10a₂ at M(r = 4, 0 = 110°, ¢ = 120°).

A: Spherical coordinates are nothing but the way of representing a point in a three dimensional space…

Q: #1 to 3: Given the following vectors and points, transform each to spherical coordinate system. 8ảx…

A: As per our guidelines we are supposed to be answer the first question only.  Kindly repost the other…

Q: Given vectors A = 3ax + 4ay + az and B = 2ay - 5az, find the angle between A and B.

A: Given vectors, A=3ax+4ay+azB=2ay-5az

Q: O Given vectors A = î + 32 and B = 5x + 2ỹ – 62, determine: i. 5A – B ii. A unit vector parallel to…

A: Unit vector of any vector a is a/|a|. Component of vector A along ay = A.ay

Q: For à = x ax + y ay +z az and B = 2x ax + 3y ay + 3z āz. Find the followingat (2,2,1). a) C = AXB b)…

A: This question is about cross product and magnitude of cross product and Normal unit vector and angle…

Synchronous Generator

In comparison to an asynchronous generator, it is a machine where the rotor speed is equal to the rotating magnetic field produced by the stator, i.e., mechanical speed is equal to the electrical speed, thus called synchronous, and not asynchronous.

Salient Pole Rotor

Salient pole rotor includes a large number of exposed poles mounted on a magnetic wheel. The construction of a bright pole is as shown in the image on the left. The proposed poles are made of metal laminations. The rotor winding is provided on these poles and is supported by pole shoes.