The vector projection of the vector A =ax -2ay + az on the vector B = 4ax - 4ay + 7az is *

Q: Given the two vectors M= 5a, – 2a, + 4a, and N=- Sa, –7a,+2a,. The unit vector in the direction of…

A: Given Data: M = 5ax -2ay +4az N= -8ax-7ay+2az

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

A: curl of a vector is curlF=ijkddxddyddzfxfyfz

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: Two vectors (M = 4ax-oay) and (N = bax-Lay-ɔaz), find the vector perpendicular to these vectors?

A:

Q: Determine the z-component of the unit vector of F= 2.2a + 3.1ay O a. 0.31 Ob. 0.44 O c.0.58 O d.…

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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: Vector Field C= «ty)ax+ xay tCy+ZJQz D= (2ty)ax+ Yay + (X+Q Oz A+B = ? b- (x+g x+(x²+y³)…

A: When we add two vector then there respective component will add. For X compoment-  x+y+y+z= x+2y+z=…

Q: a) b) C) d) - Let A = 2ax-4ay - 3az and B = 3ax -2ay - az Find a unit vector aAB (a + 2a + 2a, )/9…

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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: 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: ) find the wunt vector V= si - zj

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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: Given: A(3,2,1) and B(-1.-3.2). Determine 12r4-3rBl. Note: I means a position vector. O a. 16.31 b.…

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Q: Determine the divergence of the vector field P = x²yz ax + xy a₂ O a. 2xyz ax O b. 2xyz O c. 2xyz +…

A: Given data, The vector field is  P=x2yz ax+xy az

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

A:

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...

Q: Let u = (-1, 3), v = (2, 4), and w = (2, -5). Find the component form of the vector a) u + v b) u -…

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Q: Given the four vectors a = 2i - 3j - 4k, b = 4i +2j+ k, c = i +2j - 3k, d = 3i − 4j + 5k, find the…

A: given four vectors are  a = 2i -3j-4kb =4i +2j+kc =i +2j -3kd =3i-4j+5k

Q: QLI A = 2a, + a, - 3a, and B = 4a, + 2a, - 3a, are vectors, find (only two): (a) Ã-B (b) Ã xB (c)…

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Q: × ċ is Given Å = { – ŷ + 22, B = -8 + ŷ + 2 and Č = & + ŷ + 24. Vector (Ả × B) × î12 – ŷ12 x12 – ŷ12…

A: we need to determine (A*B)*C.

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: For the given vectors V₁ and V2, determine V₁ + V2, V1 V₁xV₂ V₂ x V₁, and V₁ V₂. Consider the…

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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: Consider the vectors A =4ax+2kaytaz and B = ax+4ay-16az what value of k the two vectors A and B will…

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

A: Given vectors are: A = ax + 5ay + 3az B = 3ax + 2ay + az We have to find which of the vector is…

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: B. The distance vector R12 can be obtained from vector 1 and vector 2 by Subtracting the 2nd vector…

A: Given

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

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.