(a) Demonstrate graphically that this problem has no feasible solutions. (5 Marks) (b) Construct the dual problem. (5 Marks)

Q: 4. Express the position vector r = xa, + ya, + za, in the spherical co-ordinate system. 5. (a)…

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Q: 8. Find the vector product of two vectors A| = 50 and B| = 20, with an angle %3D between them is…

A: Vector product is defined as- A*B = |A| |B|sin(theta) A*B = 50*20*sin(45)

Q: 1. Show that vectors a= (4.0,-1), b =(1,3,4), and c =(-5,-3,-3) form the sides of a triangle. Is…

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Q: Given: A: A, 36.6, A,= 31.2 JB = 18.5 B: 0B = 35.9° (a) Calculate the x-components and y-components…

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Q: Which are possible errors in Visual Python? Select one: O Syntax and Math (Logic) O Systematic and…

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Q: 4 i + V41 Suppose i -k and u = 2i + 5j. Compute the following: %3D %3D V41 lū| = %3D ... II

A: Given: v→=441i+541ju→=2i+5j

Q: 5. Let W R³ be the intersection of the two planes: 2x + y − z = 0 and 3x - y + 2 = 0. Find the…

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Q: Q:1 a)Take any two vectors A and B in three dimensional Cartesian coordinate system of your choice…

A: (a) Consider the vectors are: Take the dot product of vector A and vector B.

Q: 1. In this problem you will prove that the shortest distance between two points is a line using the…

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

A: Given that, A→=xa^x+ya^y+za^zB→=2xa^x+3ya^y+3za^z At (2,2,1), we have to find  C→=A→×B→ A→×B→ and…

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A: For solving the equation, we first need to simplify the matrix.

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Q: Evaluate the dot product A B if A = 4i +9j and B = 5i – 5j. %3D A B = Part B Evaluate the dot…

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A: Third option is true f(x, y, z) = f(y, x, z)

Q: 6. Recall equations (4b), (4b), (4c), (4c'), (4d), and (4d') thus: X = X0 + ¹/2 (Vxo +Vx) t y = yo +…

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Q: TU D B А Given Â= 1.00 – 1, B= 2009. Ĉ= -3.00 D=-4.00 9. and R=A+B+C+D, Calculate R.

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Q: се free space.

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Q: Determine if the vectors A = (-4.0, 1.0, 2.0) and B = (1.0, - 2.0, 3.0) %3D are parallel to each…

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

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Q: 2. If r= (x, y, z), prove that ▼ (²-) = - =

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Q: 9. Given: D = 3x³yi-2x²y¹z6j+y³z²k Find: V.D.

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Q: Let /be the line through the point with coordinates (0,1,0) in the direction of the vector 1 0 their…

A: Given, l be the line through the point with coordinates (0,1,0) in the direction of the vector…

Q: Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB|…

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Q: - 3y) dy where C, a circ ive sense.

A: Given function as, ∮3x+4ydx+2x-3ydy Radius= 2. As per protocol, allowed to answer first question and…

Q: Calculate the curl of the following vector function: v. = y?x + (2xy + z²)ŷ + 2yzz

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Q: 7. Find the volume of tetrahedron hav (-1-k), (4+5+qk), (37 End the value of q for which these four…

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Q: Problem 1. Evaluate the expression (-2 + 3i)(-3 – 9i) and write the result in the form a + bi. The…

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Q: Express F as a vector in terms of the unit vectors i, j, and k. Determine the angle between F and…

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Q: Sketch the graph of y = 2 sin(wt + 8) for: (a) w = 3 s-1 and 8 = 0,

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

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Q: 1. (0, 8) and (8, -6) 19. (3, 7) and (-9, 5) 10. (6, 3) and (10, -7)

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