If vectors A = ax and C = 2a, + a,. Find A x B x C – 4ay ay -az а. 2а, — 4ау с. 2а, + 4ay d. 4a, + 2a, – 2a, d. – 2a, + 4a,

Q: Classifying vector fields below а) д.А -0 ve АхА3D0 b) д.А3D0 ve АХА#0 с) д. А#0 ve АхА%3D0 d) д.А#0…

A: If the divergence of a vector is equals to zero then it is solenoidal vector. If the curl of vector…

Q: 2. Given the vectors A = 3ax - 8ay - 2a,, B = -2ax +6ay + 3a, and C = -2ax + 4a, – 9a, %3D determine…

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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: 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

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Q: The cross product of two vectors yields a vector. Select one: True/ False

A: The given statement is true. The cross-product of two vectors gives the magnitude of the…

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: 1.11 Calculate the angles that vector H = 3a, + 5a, - 8a, makes with the x-, y-, and z-axes.

A: The given vector is: H=3ax+5ay-8az

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

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

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Q: a. Which of the following is a vector quantity? A. Voltage B. Current С. Area D. Volume b. Absolute…

A: Given & to find: a. Which of the following is a vector quantity? A. Voltage B. Current C. Area…

Q: Ci. Show that the following vectors are orthogonal: A = 4a, + 6ã, – 2a, and B= -27, +4a, + 8a. –2ā,…

A: A per company guidelines if the question asked are different we are supposed to answer the only the…

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

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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: 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: The area of a parallelopiped that is formed by two vectors A and B can be obtained mathematically…

A: The area of a parallelogram that is formed by two vectors A and B is given by magnitude of cross…

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

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Q: Given A = 4a + a_and vectors B = 2a_ + 3a , find the scalar projection of A on B.

A: The detailed solution is provided below.

Q: Rxy XY -4ах + 5ay + az 4аx - 5ay - az 5аx - 4ay - az -5ах + 4ay + az

A: Option - B (answer)

Q: Given the following data below, what are the dot product and angle between the vectors,…

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Q: 2. Given the vectors A = 3ax - 8ay - 2az, B = -2ax + 6ay + 3a, and C = -2ax + 4a, 9az %3D %3D -…

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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: 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: Vector Field C= Gty)ax+ x'ay +Cy+z)ag D= (2ty)ax + yay + (x+9 Oz AXB -yつytlastyt)。 Ax ) + +Cg-パェメpaz

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Q: Describe the physical significance of having equipotential map in the study of electricity

A: The line along which the electric potential is constant is equipotential line. The three-dimensional…

Q: (a) Ả·B (b) Ả×B (c) Angle between A and B

A: In this question , we have to find out dot product and cross product of given vectors..

Q: Vector Field C= «ty)ax+ xay +Cy+ZJQz D= (2ty)ax+ Yay t (xtD az A+B = ? a-(2x +ytz Jaxt+ (+2yayt…

A: The solution is given below

Q: If position of vectors of the points 2i+j-k and B = 5i + 4j + 3k, find |AB|.

A: Step 1: Step 2: Step 3: Step 4:

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: Find the angle between vectors A = a, + a, + a, and vector B= 2a, – 3ay. А

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Q: ector Field C= «ty)ax+ xay tCy+2) Qz D= (2ty)ax + Yay t Cx+D Oz 4+3 = ? a:(2x+ytz laet…

A: Note: Either there would be vector A and B for A+B; or there would be C+D for two vector C and D.…

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

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Q: Q4. Which one of the following vector function has divergence and curl both zero A 2xza, – yzay 2 az…

A: vector field F=⟨f,g,h⟩ Divergence of a vector function F is: The Curl of a vector function F is:…

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: 2. If A = 2a, + 0.3ay – 1.5a, and B = 10a, + 1.5ay – 7.5az, Show that A and B are dependent %3D…

A: Given that  A=2ax+0.3ay-1.5azB=10ax+1.5ay-7.5az It is known that, if two vectors A and B are…

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.