Four force vectors each have the same magnitude f. What is the largest magnitude the resultant force vector may have when these forces are added? What is the smallest magnitude of the resultant? Make a graph of both situations.

Q: A hiker walks along the city streets 15 km north, then 7 km east.  What is the direction of the…

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Q: The magnitudes of two vectors and are 12 units and 8 units, respectively. What are the largest and…

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Q: t is the resultant vector of these two forces? (magnitude and direction)

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Q: A vector has x and y components of ( -14.3 , 11.6 ). What is the vector's magnitude and direction?…

A: A vector A has x and y components Ax and Ay respectively. Then the vector's magnitude is A =(Ax2+…

Q: Determine the vector that must be added to the sum A +B in Figure 1 to give a resultant displacement…

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Q: a.) The magnitude of the force vector b.) The X component of the force vector

A: A) Analyze the following figure. The given vector can be represented as, Here, Fx, Fy, and F…

Q: Add the following Forces analytically to find the resultant vector, the magnitude of the resultant…

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Q: magnitude of the resultant is:

A: Let, there are two vector A and B. The magnitude of these two vectors given as, In vector algebra,…

Q: Add the following Forces analytically to find the resultant vector, the magnitude of the resultant…

A: The given vector: F1= 350 N Subtends 105° with x-axisF2=450  N Subtends 203° with x-axisF3=350 N…

Q: to GRAPHICALLY use the following individual vectors find the resultant vector in the first three…

A: Solution: 1. A+B: First draw the line A starting from origin O. Then, draw the line B from where the…

Q: A displacement vector is 23 km in length and directed 65° south of east. What are the components of…

A: Vector.

Q: What are the x and y components of a vector of magnitude 100 making an angle of 45? with the…

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Q: The magnitudes of two vectors A → and B → are 12 units and 8 units, respectively. What are the…

A: Magnitude of vector A = 12 units Magnitude of vector B = 8 units The resultant of the two vectors is…

Q: The magnitude of a force vector F is 87.5 newtons (N). The x component of this vector is directed…

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Q: Find the magnitude |D| and angle θ of a vector that has an X component of DX = 8 meters and a Y…

A: Given, A vector D which has x component Dx=8 m       y component Dy=25 m angle θ of a vector

Q: A dog is running around the grass in your back yard. He undergoes successive displacements 20 m…

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Q: A vector has a horizontal component of -14 and vertical component of 22, what is the magnitude of…

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Q: Find the magnitude and direction of the resultant vector using the analytical method.…

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Q: 1. Force Vector A = 45i kN Force Vector B = xi + yj kN Force vector B has a magnitude of 60 kN and…

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Q: Use the component method of vector addition to find the components of the resultant of the four…

A: A = 2.25 cos 60 degree i + 2.25 sin 60 degree j B = 6.35 cos 20 degree i - 6.35 sin 20 degree j c =…

Q: Vector A has a magnitude of 3.0 units and makes an angle of-90.0° with the positive x-axis. Vector.…

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Q: Vectors A and B have the same magnitude. Furthermore, the angle 0A that A makes with the positive…

A: Magnitude of vector A = Magnitude of vector B Let this magnitude = F θA = θA = θ

Q: Vector A has a magnitude of 10 units and makes an angle of 30 degrees counterclockwise from the…

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Q: Use the graphical method of for adding vectors to find the total displacement of a person who walks…

A: Total displacement of a person using graphical method. Given, A = 25 m along 49° north of east  B =…

Q: The magnitude of a force vector F is 82.5 newtons (N). The x component of this vector is directed…

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Q: If two vectors have magnitude of 5 and 12 respectively, and are right angles to each other then what…

A: Let, the two vectors be named as 'A' and 'B'  given : magnitude of vector A = 5  magnitude of vector…

Q: A force F, of magnitude 5.60 units acts at the origin in a direction 26.0° above the positive x…

A: Given  F1 = 5.60 at an angle 26.0 degree   F2 = 5.0 units   This F1+ F2 is ....

Q: Consider two displacements, one of magnitude 3 m and another of magnitude 4 m. Show how the…

A: The magnitude of the displacements,

Q: What are the components of a vector of magnitude 1.7 m at an angle of 37 degrees from the positive x…

A: Let say we have a vector of magnitude A making angle * with x axis then   x component will be A…

Q: Vector C has a magnitude of 24.6 m and points in the -y- direction. Vectors A and B both have…

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Q: For the vectors shown, analytically determine the vector difference. R = A - B 70° 7 Resultant = A =…

A: Given value--- A = 150 unit , 70 degree with negative X axis . B = 150 unit , 20 degree with…

Q: There are two vectors. Vector A=125x-160y and vector B=-220x+135y(in meters) Find the magnitude and…

A: Given data The vector equation of vector A is A→=125x^-160y^. The vector equation of vector B is…

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

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Q: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0A.…

A: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0A.…

Q: Add the following Forces analytically to find the resultant vector, the magnitude of the resultant…

A: F1→=350N @ 1050=-90.59Ni^ +338.07Nj^F2→=450N @ 2030=-414.23Ni^  -175.83Nj^F3→=350N @ -360=283.16Ni^…

Q: A vector has a horizontal component of -26 and vertical component of 10, what is the magnitude of…

A: Given data:  Horizontal component (Fx) = -26 Vertical component (Fy) = 10 Required: The magnitude of…

Q: Vector A has a magnitude of 142 units and points 32.0° north of west. Vector B points 67.0° east of…

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Q: Two vectors are added in a coordinate system where the positive x-axis points to the right, and the…

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Q: Vector Worksheet #2 Add each component vector to find a resultant vector by using the "Head to Tail"…

A: Solution: To represent the resultant vector by R.

Q: The vector above is given in x- and y-component form as Vx = -7 m/s, Vy =4 m/s' What is the angle 0?…

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Q: Vector A has a magnitude of 12.0 units and makes an angle of 30° with the positive x-axis. Vector B…

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Q: Vector A has a magnitude of 3.0 units and makes an angle of-90.0° with the positive x-axis. Vector.…

A: Given that:- Magnitude of vector A=3 unit  Magnitude of vector B=4 unit

Q: Calculate the sum (resultant) of the two vectors. Vector A = 17.25 cm, 34.5° South of East Vector B…

A: A→= 17.25 cm @34.5o south of east B→ = 11.64 cm @28o North of west

Q: Solve the following, given: A = 4î + 7} B = 5î – 2j+ k C = -î+ 3j+ 2k a) Find the magnitude of…

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Q: Determine the magnitude and direction of the resultant force 1. By using the scalar notations…

A: Here, we are given a figure. There are three forces shown in  the figure. We have to find the…

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.