A forceF = (5, 8)moves an object from the point (1, 3) to the point (10, 5). Find the work done by this force.

Q: The component of the vector (-5, 0, –3) onto the vector (3, –4, –2).

A:

Q: Determine the force in members AB, AL, and BL of the truss which serves to support the deck of a…

A: Answer:----.                              Date:----27/09/2021

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

A:

Q: Find the angle between two vectors ū = (1, –1,0), and ở = (2, –1,2) %3D

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Q: Find the unit vector that has the same direction as vector v that begins at (1, 4, 10) and ends at…

A: We will find the unit vector that has the same direction with the given vector v in the following…

Q: A force of 600 pounds is required to pull a shipping crate up a ramp inclined at 25˚ from the…

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Q: Resolve a force of 10 N into two forces perpendicular to each other so that one component makes an…

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Q: Find the vector of length 2 making an angle of 60° with the x-axis.

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Q: Find the angle θ between the vectors.u = (−4, 3), v = (0, 5), ⟨u, v⟩ = 3u1v1 + u2v2

A: Now,

Q: A 50-kg wagon is pulled to the right by a force F1 making an angleof 30◦ with the ground. At the…

A:

Q: Find a vector of length 5 in the direction opposite that of (3, –2, V3).

A: Let the given vector be              a=3i-2j+3k The vector in the direction opposite to a  is  -a.…

Q: If F1 and F2 are two forces simultaneously acting on anobject, the vector sum F1 + F2 is called…

A: We know, The vector sum of all of the forces acting on a body is a single force called the net force…

Q: 6. Find the work done by the force F=(-2,3,-5)when the object is moved from the point A(0,1,4)to the…

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Q: The vector v and its initial point are given. Find the terminal point. = (4, -9); Initial point: (9,…

A: Given

Q: Find projection of vector (0,1,0) into the line spanned by (0,1,0)

A: We have to find the projection of the vector (0,1,0) into the line spanned by (0,1,0).

Q: (B) Show that the area of triangle is - ÁxB (Using Vector method)

A: Let, a parallelogram be:

Q: Find the magnitude of the projection of (– 5, – 7) onto the vector (– 8, - 4)

A:

Q: A particle is acted upon by constant forces 4i+j-3k and 3i+j-k and is displaced from the point…

A: Introduction: When a force is acting upon a particle and there is a displacement, the force works on…

Q: A person swims 6.4 meters per second north while being pushed by a current moving west at 2.1 meters…

A:

Q: Find the unit vector in the same direction as the vector u = [-8, 6, 7].

A: Given,         The unit vector in the same direction as the vector u=-8,6,7.

Q: A force of 6 pounds acts in the direction of 40° to the horizontal. The force moves an object along…

A: Given a force of 6 pounds acts in the direction of 40° to the horizontal. The force moves an object…

Q: Then Duf(4, -3) in the direction of the vector 20 (-1, –2) is Let f(x, y):

A: Answer is mentioned below

Q: Find the angle between the vectors (2, 1) and (3, -2) to the neareast second.

A:

Q: ) Find a unit vector with the same direction as (1,0, 7).

A: We can find the unit vector as below.

Q: 7. Find a vector that has the same direction as (-2,1, 2) but twice the length.

A: GIVEN DATA : Vector of direction -2, 1, 2       TO FIND : The vector of the same direction but twice…

Q: [2, 0]. Find the unit vector in the same direction as the vector u

A: Given,          The unit vector in the same direction as the vector u=2,0.We know that,          The…

Q: 2. The unit vector in the same direction as (-6, 12) is

A:

Q: Two force vectors act on an object and the dot product of the two vectors is 20. If both of the…

A:

Q: Find the work done in moving a particle from point P(- 5, 0, 2) to Q(3, - 1, 4) if the magnitude and…

A: To find the work done in moving a particle from point P-5,0,2 to Q3,-1,4 Also the magnitude and…

Q: Find the unit vector along the line joining point (2, 4, 4) to point ( - 3 , 2, 2). A) -0.8703ax -…

A: We can solve this as follows:

Q: Find the angle between vectors v = (1,2,3) and w = (2 -1, 4)

A:

Q: Find the vector of length 2 making an angle of 45° with the x-axis.

A: Find the vector from the given data

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

A:

Q: The vector (1, 0, 0) makes a 45 degrees with the vector (x, y, z). What is the relationship between…

A:

Q: Find the work done by a force F = 8i − 6j + 5k that moves an object from the point (0, 8, 6) to the…

A:

Q: Find the force required to keep a 2500-lb car parked on a hill that makes an angle of 22° with the…

A: Force = mss * gravity

Q: Find a unit vector u in the direction of v. Verify that llull=1 v=(15,0)

A:

Q: what will be four forms of dot product for two vectors A and B by defining their metric tensors?

A: Dot product of two vectors is given by the product of the magnitudes an cosine of the angle between…

Q: Vector ä has a magnitude of zo and poin ts 60' Norte of East. Caleulate the * and comporents of À

A:

Q: he by a force F = 8i – 6j + 5k that moves an object from the point (0, 8, 4) to the point (6, 14,…

A:

Q: Find the unit vector with same direction as  ⟨ 6, 11 ⟩

A: We find the magnitude of  ⟨ 6, 11 ⟩ first

Q: Find a unit vector u in the direction of v. Verify that llull=1 v=(-5,-3)

A:

Q: Find two vectors V1 and V2 whose sum is ⟨2,−5,3⟩, where V1 is parallel to ⟨4,4,0⟩ while V2 is…

A: Parallel vector will be multiple of each other  Perpendicular vector has dot products zero

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

A:

Q: A force of 15 Newton parallel to the vector V=3i+4j is applied to a point that moves on a line from…

A: We have to find work done.

Q: Evaluate the directional derivative Duf (2, 3) if ƒ (x, y) = and u is the unit vector in the same…

A: Given problem:- Evaluate the directional derivative Duf(2, 3) if f(x, y) = x/(x2 - y) and u is the…

Q: )Find the vector in R2 from point A = (8,9) to B = (-3,5). AB = help (vectors)

A:

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 unit vectoru in the di rection of the vectorv=3(2, 2, 1).

A:

Q: Find the work done by the force F=(1,3) in moving an object from A(4, 5) to B(-2, 8).

A: Explanation of the answer is as follows