Using the component method: Solve for the Resultant vector given the following data: A = 3.5 m ; 60° North of West B = 7.6 m ; 50° South of West C = 4.3 m ; 45° North of East

Q: The vector A has a unit magnitude and is directed to the north, and the vector B has a magnitude of…

A: The head-to-tail method is used in the graphical addition of vectors. That is the second vector is…

Q: The sum of three vectors is a vector of magnitude 5.83 oriented at an angle of 310 with respect to…

A: Given:- Three vector  a →=2.0 b→=1.0 R→=5.83θ=31° Find:- The third vector

Q: Use the component method of vector addition to add the resultant of the following vectors. A: 11 km…

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Q: Using the Pythagorean theorem and the graphical method, calculate the resultant vector of the…

A: Given F1=20 N to eastF2=20 N to westF3=10 N to north…

Q: Given the following components for vectors A–C, find the magnitude and direction for the resultant…

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Q: Three vectors are oriented as shown in figure, where A = 2m, B = 4m, C = 3m. Find (a) The R, and R,…

A: We can writen given vectors in x and y form as  Vector A = 0x+ 2y  Vector B = 4 cos45° x + 4 sin…

Q: Write the final magnitude and direction of the resultant vector. Include a properly labeled diagram…

A: solution as

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: The x component of a displacement vector r is -155 m, while its y component is -174 m. (a) Find the…

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Q: Given four vectors: 16 newtons 20 degrees north of west; 25 newtons due south; 10 newtons due east;…

A: four vectors: 16 newtons 20 degrees north of west; 25 newtons due south; 10 newtons due east; and 30…

Q: Vector A has a magnitude of 6.0 m and points 30° south of east. Vector B has a magnitude of 4.0 m…

A: The resultant of two vectors forming two sides of a parallelogram can be given by parallelogram law…

Q: Given four vectors: 3 newtons 20 degrees south of west; 6 newtons 45 degrees north of west; 4…

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Q: Given four vectors: 3 newtons 20 degrees south of west; 6 newtons 45 degrees north of west; 4…

A: The force F1=3N acts at θ1=20° south of west The force F2=6N acts at θ2=45° north of west The force…

Q: Find the components of the vector A⃗  with length a = 1.00 and angle α=20.0 ∘ with respect to the x…

A: The equation for the magnitude of the x component of the vector is given by

Q: calculate the x component and the y component of the vector with magnitude 24 degrees and direction…

A: We are assuming that the given angle is the angle made by the vector above the positive x-axis and…

Q: If a vector has a x-component = - 53.7 m and a y- component = -12.3 m, what is the direction of the…

A: The vector diagram for the provided vector is:

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 12.0 m and…

A: x-component =12 cos 54°                        =7.05 my-component=12 sin 54°…

Q: Vector O is the resultant of vector M = -3.7i + -9.2j + -1.7k and an unknown vector N. Vector O is a…

A: Given M̅ =-3.7î + -9.2 ĵ +-1.7k̂

Q: A vector has a magnitude of 3.50 m and points in a direction thatis 145° counterclockwise from the x…

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Q: What is the resultant vector of a vector A 5m going to South and vector B 6 m going to West?

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Q: Vector A= 8.0 m at 60 degrees find the x component of the vector A. And find the y component of the…

A: Given data: Vector is given, A→= 8.0 m Consider the angle made by vector A with a positive X-axis,…

Q: Vector B has magnitude 7.20 and direction 14.0° below the +x-axis. Vector C has x-component Cy=-2.10…

A: Vector addition and subtraction can be done directly by taking common i^ and j^ Vector inclination…

Q: Use the polygon method to get the resultant of the following displacement: (a) 5.0 km to the east,…

A: Polygon law of vector addition states that if a number of vectors can be represented in magnitude…

Q: Vector Á has a magnitude of 8.00 units and makes an angle of | 45.0° with the positive x-axis.…

A: The representation of the two vectors is illustarted below,

Q: The resultant of three vectors is 90.00 cm 34 degrees North of West. If two of these three vectors…

A: Resultant vector (R→) = 90 cm ( -cos(34o)i^ + sin(34o)j^)= -74.6i^ + 50.32j^ cm Let one of the…

Q: A vector  A  has components  Ax = −4.00 m  and  Ay = 3.50 m.  Find the magnitude (in m) and the…

A: Given:X-component of the vector, Ax = −4.00 mY-component of the vector, Ay = 3.50 m

Q: . The displacement vector A has a length of 50 m and a direc- tion of 30° east of north; the…

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Q: the right.  You will be asked to find the resultant, R = A + B + C. How do you calculate the…

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Q: Vector A has a magnitude of 8.00 units and makes an angle of 45.0 ∘ with the positive x-axis. Vector…

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Q: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…

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Q: For the vectors shown in the figure below, answer the following question: В The vector R is given by…

A: vector  R=19.23i-12.75j magnitude of vector R is 23 unit, And direction from x-axis is -33.54o…

Q: A vector has component Ax=-3.50m and Ay=6.00m. Find the magnitude (in m) and the direction (in…

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Q: An airplane flies with a displacement vector ř. If the x-component of the plane is 132 km West and…

A: Draw the free-body diagram of the system. Calculate the resultant vector.

Q: add the following vectors and determine the resultant. 6 m/s, 225 degrees and 2 m/s, 90 degrees

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Q: A vector  A  has components  Ax = −6.00 m  and  Ay = 8.50 m.  Find the magnitude (in m) and the…

A: Given data *Vector A has horizontal component is Ax = -6.00 m *Vector A has vertical component is Ay…

Q: 35 B= 9 m A = 5 m

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Q: For the problem below, the magnitudes of the horizontal and vertical vector components, Vx and Vy,…

A: Given: The horizontal component of the velocity is 40.0 m/s. The vertical component of the velocity…

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: Given vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: T = 3à +26

A: Given  a=(9,-6) b=(3,-2) r=3a+2b (where r, a and b are vectors)

Q: The three displacement vectors in the drawing have magnitudes of A = 5.98 m, B = 6.75 m, and C =…

A: Given that: A=5.98 mB=6.75 mC=4.20 m

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

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Q: Vector A⃗A→ has components AxAx = 5 mm and AyAy = -3 mm. Vector B⃗B→ has a magnitude of 8 mm and…

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Q: Vector A has components Ax = -16.1 and A, = -4.32. What is the magnitude A of this vector? Determine…

A: The x-component of A→, Ax=-16.1 The y-component of A→, Ay=-4.32

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 20.0 m and…

A: Given Data: The magnitude is given as, A=20 m The angle is given as, θ=38°   Draw the diagram…

Q: John went to his girlfriend to propose and walk 30m straight west and then 25m straight north. How…

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Q: Find the x and y components of a vector with magnitude F=15N and direction theta = 35 degrees. Find…

A: Since there are multiple questions posted, we will answer the first question. The x-component of the…

Q: Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B has a magnitude of 4.0 m…

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Q: Using the polygon method; determine the resultant vector. Considering these following vectors: A =…

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Q: A vector A has components Ax = −5.50 m and Ay = 4.00 m. Find the magnitude (in m) and the direction…

A: The magnitude of the given vector is,Substitute the values,