Find the work W done by a force F=31+7j Ib in moving an object in a straight line from point A (0, 0) to point B(5, 6). Assume that the units in the coordinate plane are in feet.

Q: The 110-lb force P is applied to the 200-lb crate, which is stationary before the force is applied.…

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Q: Evaluate | F. dS , where F = and S is the helicoid with vector equation r(u, v) = 0 < u < 4, 0 < v…

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Q: Find the work done by a force F = 4i – 6j + 9k that moves an object from the point (0, 10, 6) to the…

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Q: Find the work done by a force q=5i+2j to move a body along the displacement from the points A(1,1,0)…

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Q: Find the work done by a force F = 4i + 9j (in N) in moving an object in a straight line from point…

A: Given:           F=4i+9j

Q: Find the work done by the force F = xyi + (y - x)j over the straight line from (1,- 2) to (2, - 4).

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Q: Evaluate /| F - d5 , where F = and S is the helicoid with vector equation r(u, v) 0 < u < 4, 0 < v…

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Q: Find the work done by the force F (r, y) = yxi– (x – y) j over the straight line from (1, 1) to…

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Q: Find the work performed when the given force F is applied to an object, whose resultingmotion is…

A: Given: F=22i+9jd=30i+4jForce in poundsand displacement in feet To Find: work performed when the…

Q: A force F = 2i -j- 3k is applied to an airplane with displacement vector D = i+2j + 2k. Express F as…

A: Let the force vector be F→=2i-j-3k and the displacement vector D→=i+2j+2k    F→=β1+β2   Here, β1 is…

Q: Find the work done by a force F = 5i (mag-nitude 5 N) in moving an object along the line from the…

A: Given,

Q: A force F = 2i +j - 3k is applied to a spacecraft with velocity vector v = 3i - j. Express F as a…

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Q: Find the work done by the force F = xyi + (y - x)j over the straight line from (1,-3) to (3,-9).

A: Given force is F→=xyi^+y-xj^ and straight line coordinates are 1,-3 and 3,-9

Q: Find the work done by the force F in mving an object from P to Q. F = 2i – 4j; P(0, 0), Q(3, 6)

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Q: The line of action of the 3280-lb force runs through the points A and B as shown in the figure.…

A: Given problem:-

Q: Evaluate 1+ x° + y°dS, where S is the helicoid with vector equation т(и, и) — 0 <u < 3, 0 < v< T

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Q: Find the work done by a force F of 12 pounds acting in the direction (3,1) in moving an object 8…

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Q: Determine the work done in moving a particle from P to Q when the magnitude and direction of the…

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Q: Find the real values of a,b,c that make the convolutio equal to zero for the vector function F(x, y,…

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Q: Evaluate F· dS , where F = and S is the helicoid with vector equation r(u, v) upward orientation.…

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Q: Find the work done by the force F = 5i + 25j in moving an object from (0, 0) to (1, 6).

A: Using formula of work done,

Q: Q6/ A boxful has been moved a distance (2m) in a F = 5.2 i+ 3J horizontal direction due to effect of…

A: Work done by a force is equal to the product of Force applied in the direction of distance and…

Q: Find the work W done by a force of 77 pounds acting in the direction 30° to the horizontal in moving…

A: We will use the formula:

Q: A force is specified by the vector F = (155i +80j - 200k) N. Calculate the angles made by F with the…

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Q: di vergen a of the vector funchion v = xi+ 29j+ 32k, is Jhe 2

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Q: (a) Find the domain of the vector function r(t) and sketch its range, where r(t) = (v25 – t², 1, vf²…

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Q: Find the work done by the force F = xyi + (y-x)j over the straight line from (0,0) to (1, - 3). The…

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Q: Find the work W done by a force of 7 pounds acting in the direction 30° to the horizontal in moving…

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Q: Find the work performed when the given force F is applied to an object, whose resultingmotion is…

A: We know that dot product of two vectors F→ and d→ is given as F⇀·d→=F→d→cosθ   ; where θ is angle…

Q: Evaluate /| F. d5 , where F = and S is the helicoid with - vector equation r(u, v) = 0 < u < 1, 0…

A: To evaluate the below vector surface integral. ∫∫SF⋅dS

Q: Find the work W done by a force of 7 pounds acting in the direction 60° to the horizontal in moving…

A: This is the problem related to vector. Here we will use the general formula of force vector for…

Q: Find the resulting force, R what additional force F is needed for the object to be in static…

A: F1 = -12i + 8j F2 = -9i - 15j F3 = 11i + 7j Resulting force is the sum of all the forces. Static…

Q: Q1/ The solid homogenous 400 lb block A rests on a horizontal plane. The coefficient of friction…

A: The solution is given below

Q: Determine the moment of the force F = -40i + 30j + 20k kN about axis OA using vector method.

A: To determine: the moment of the force F → = - 40 i → + 30 j → + 20 k →  N about axis OA using vector…

Q: Suppose that an object moves in the positive direction along a coordinate line over the interval [a,…

A: Let the object moves in the positive direction along a coordinate line over the interval [a, b] Let…

Q: Find the work done by the force F= xyi + (y - x)j over the straight line from (-1,- 2) to (2,1).

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Q: Evaluate F. dS, where F = and S is the helicoid with vector equation r(u, v) , 0 < u < 3, 0 < v <…

A: Given the vector field F→=y,-x,z2 and the surface S is parametrized as ru,v=ucosv,usinv,v,…

Q: A force F = 2i + j - 3k is applied to a spacecraft with velocity vector v = 3i - j . Express F as a…

A: We have given the force F = 2i + j - 3k with velocity vector v = 3i – j.

Q: A force is specified by the vector F- (145i + 140j-155k) N. Calculate the angles made by F with the…

A: Given problem Given that   A force is specified by the vector  F = ( 145i + 140j - 155k ) N The…

Q: Find the work done by the force F in moving an object from P to Q. F = 2i – 4j; P(0, 0), Q(3, 6)

A: First you will calculate the displacement which is equal to final position minus initial position.…

Q: Find the work done by a force F = 4i - 8j + 9k that moves an object from the point (0, 8, 4) to the…

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Q: 2. Determine the resultant R of the two forces by a. Applying the parallelogram rule b. Summing…

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Q: |A force F = 9i + 8j – 4k is applied to a spacecraft with velocity vector v = 2i – 7j. Express F as…

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Q: Evaluate /| F · dS , where F = and S is the helicoid with vector equation S r(u, v) 0<u < 1, 0 <…

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Q: Find the work done by a force F = 4i - 8j + 9k that moves an object from the point (0, 6, 8) to the…

A: Explanation and Solution is given below....

Q: Find the vector projection of a force F = 5i + 2j onto v = i - 3j and the scalar component of F in…

A: The force F=5i+2j onto v=i-3j Scalar component.Let a and b be two vectors, scalar projection of the…

Q: If c represents a constant force, find the work done if the point of application of c moves along…

A: The formula for work done is: W=F·s Where, F is the force and s is the displacement. If the initial…

Q: Evaluate F. dS, where F = and S is the helicoid with vector equation r(u, v) = 0< u < 2, 0 < v <…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.