Apply the contraction thrice on the 7th rank tensor and what will be the rank of a tensor after thrice contraction?

Q: Suppose that q1 = 3 µC (3.0×106 on the figure in cm. Find the angle in degrees that the net force on…

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Q: Add a third cable to this diagram originating at point A and extending up to the wall that B and C…

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Q: (a) In unit-vector notation, what is the sum of a = (3.2 m )î + (3.7 m )ĵ and b = ( − 12.0 m )i +…

A: The vectors are given as, a→=(3.2 m)i^+(3.7 m)j^b→=(−12.0 m)i^+(8.0 m)j^

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Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

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Q: A four vector [A] and a tensor [B] are defined by: [A] = (-2, 7, 1,3) 1 3 -5 7 0 2 0 -1 5 5 2 6 -3…

A: given information=(-2 ,7, 1 3)

Q: TRY: In a two-dimensional tug of war, Alex, Betty and Charles pull an automobile tire at the angles…

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Q: How does duality play a role in the study of dual spaces in vector spaces, especially in functional…

A: Duality plays a fundamental role in the study of dual spaces in vector spaces, particularly in…

Q: What is the name of the quantity represented as ?? O Integral of motion O The unit vector in the…

A: The provided symbol is called a unit vector. A unit vector has a magnitude of 1 and is indicated by…

Q: The slope field below indicates that the differential equation has which form? (Assume the…

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Q: need help with this problem and how do i determine which trigonometric sign to use like cos or sin…

A: From the figure,we have Determine the magnitude and coordinate direction angles of the resultant…

Q: Note that in science and engineering area is considered a vector quantity. Its magnitude is defined…

A: Area is a vector quantity.Its magnitude is length time width.

Q: Salt water with a density of 6 = 0.25 g/ cm flows over the curve r(t) = /5ti+ 2ij. Osts5, according…

A: Given: ς= 0.25 g/cm2 rt=5ti+2tj

Q: A force vector has magnitude F makes an angle of 69° with respect to the x-axis of a Cartesian space…

A: Given, a force vector has magnitude F makes an angle of x=69° with respect to the x-axis of a…

Q: Let vector a = and vector b = . The the cross product of vector a and b.

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Q: How do I find the area of a parralelogram with two given vectors

A: If we have two vectors, say vector A, and vector B, the magnitude of this vector's cross product…

Q: The density of a spherical solid at a point P = (x, y, z) is given by f(x, y, z) = c(x² + y² + z²) ,…

A: The density of spherical solid at any point P(x,y,z) is given by,  Therefore, the density at point…

Q: X Consider a vector E pointed into the second quadrant' of the Cartesian x-y coordinate plane, as…

A: Given that:- E=30units Theta=60° Phai=30°

Q: Determine the angle between a body diagonal of a cube and any one of its face diagonals.

A: The diagonal of the cube of sides has the Cartesian coordinate (1, 1, 1) m.

Q: Force X has a magnitude of 1240 pounds, and Force Y has a magnitude of 1470 pounds. They act on a…

A: Magnitude of X force is, 1240 pounds  Magnitude of Y force is, 1470 pounds Angle between X and Y…

Q: Problem 2: Using vectors, prove that the sum of the squares of the four sides of a paral- lelogram…

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Q: Use the Levi-Civita tensor to prove the following vector identities: [(A x B) x (C x D)] = [(A x B)…

A: Given: Two vector identities To prove:  a) b)