Given the following Vectors: А-2а, — 4а, — 2а,, B= 3a, + 2a, + 2a, , and С-а, — За, + 2а, Using dot product determine the: a. angle between vector A and B b. angle between vector B and C c. angle between vector C and A

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: 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: Determine the curl for vector M = 4xsecy i - 2y2z j + (ztany)/2 k at point (π/5 , π/9, π/7).

A: Given vector, M=4x secy i-2y2z j+ztany/2 k  where i, j and k are unit vector along x-axis, y-axis…

Q: If vector A = 25 + j10 and vector B = 30 – j12, then in rectangular form and in polar form A/B find.

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Q: Find the unit vector

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Q: Prove that

A: If magnitude of F is 1 then unit vector. and if A.B=0 then perpendicular.

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: Integral of Vector A= 2p sin(9)ap +0.5z2cos(p)az along L1 L2 L1 180° L3 30° -5 20 -12.5 12.5

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Q: For the given vector in RCS: xaz + yay + 4az F %3D Va2 + y² + z² Match each item to a choice:…

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Q: Given vectors à = £2 – ŷ + î3 and B = £3 –- 22, find a vector C whose magnitude is 9 and whose…

A: Given vectors are –

Q: Integral of Vector A= 2ρ sin(φ)aρ +0.5z2cos(φ)az along L2

A: integral (A.dl) is the line integral of the A along the path dl. Along the path L2 dl is a phi.

Q: Given two vectors A = 4ax + 2.5ay – 2az and B = 5ax + 2ay + 4 az . find (a) the angle between vector…

A: It is given that: A=4ax+2.5ay-2azB=5ax+2ay+4az

Q: Problem [2] In the figure below, write F= 1000 lb in the Cartesian vector form. 6 ft 4 ft A F-1000…

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Q: Question 7 Integral of Vector A= 2p sin(@)ap +0.5z?cos(9)az along L1 L2 L1 180° L3 30° -5 12.5 20…

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Q: The operator 'B' which should cause 120° rotation in anticlockwise direction when multiplied by each…

A: Given that  Beta ( B )=1< -120°

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

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Q: Need urgently

A: According to question:

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: 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 = y²ââ + (2xy + 2²)ŷ + 2yzê¯

A: So we have to find the divergence.

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: 20,000 + j10,500 (e) 5000 -50°

A: The expression,

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: Consider the vector diagram shown in the figure below, calculate the power factor. X = 42 R= 3 N O…

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Q: Silindirik koordinatlarda, a) Ā = ř = ss+z2 vektörünün diverjansını hesaplayınız.

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Q: 7. Determine the angle between the two vectors. a) A = and B = b) A = -2î+3j + 5k and B = i + 2j -…

A: As per the guidelines of Bartleby we suppose to answer first question only since you uploaded a…

Q: Question 9 Consider the vectors A =4ag+2ka, ta, and B = ag+4ay-16a, what value of k the two vectors…

A: Given  Find the value of k

Q: Given the vector filed A= a, + (2xy+ x2 +z9 ay +(4x+ 2yz) az. The divergence of the vector field is…

A: Divergence The scalar result of the administrator del and a given vector, which gives a proportion…

Q: (1 Dz î V x B= db y + M.EDE VXB MEDE at colo = 10/0 ə az = (1 M.E. DE Ea at D B O 32B) -4 (0-0) +k…

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

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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: Consider the vector F=- RR. What is the z component of this vector? 01.-R cos 0 O2. R cos 0 O 3. R…

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Q: Question 12 Divergence operation results will always Scalar Vector Scalar or Vector Non of choices

A: divergence is always applied to a vector. let vector A = Ax i + Ay j + Az k then ∇·A = ∂Ax∂x + ∂Ay∂y…

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

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Q: Four e.m.fs e1 = 100 sin ωt, e2 = 80 sin (ωt − π/6), e3 = 120 sin (ωt + π/4) and e4 = 100 sin (ωt −…

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Q: What is the magnitude of the resultant vector's unit vector? (Resultant vector of the two vectors…

A: Force is applied in 3 dimension. Determine the resultant force?  Unit vector of resultant force?…

Q: By applying the knowledge illustrate with help of a vector diagram equation Vs=Vreq+jVxeq for…

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

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Q: If A=2xz², what is the curl of this vector, V XA, in Cartesian coordinates? B 222 xz² -îz² -ŷz²

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Q: Q4. Find the angle that the vector A = 3î – 4ĵ makes with the positive x-axis Q5. Show that the…

A: The solution following questions 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.