If F1, stands for a force vector of magnitude 30.0 N and F2 stands for a force vector of magnitude 40.0 N acting in the directions, what are the magnitude and direction of the resultant obtained by the vector addition of these two vectors using the analytical method?

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: Vector A has magnitude 11 m and points 30° north of east. Vector B has magnitude 6 m and points 30°…

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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: Vector has a magnitude of 44 units and points in the positive y direction. When vector is added to ,…

A: Given: The magnitude of the vector A  = 44 units. The resultant of vectors is R = - 25 units.

Q: Consider two vectors pointing at.different directions. The first vector has a length of 7.3 cm…

A: Given data: The length of first vector, l1=7.3 cm. The angle of the first vector, θ1=0°. The length…

Q: If vector A has an x-component of 2.80 m and a y-component of 5.05 m, and vector B has an…

A: Given data:  x-component of vector A (Ax) = 2.80 m y-component of vector A (Ay) = 5.05 m x-component…

Q: Vector A has a magnitude of 23 units and points in the positive y-direction. When vector B is added…

A: A→+B→=-1523+B→=-15B→=-15-23=-38 unit

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

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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: The magnitude of vector a is 35.0 units and points in the direction 325 degrees counterclockwise…

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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: 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: Consider two vectors pointing at different directions. The first vector has a length of 7.3 cm…

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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: The components of vector A'are given as follows: Ax = 10.5 Ay = 15.2. What is the magnitude of the…

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Q: In the diagram below , Vector E has a magnitude of 7.00 cm , and vector D has a magnitude 9.00 cm.

A: Given E=7 cm D=9cm

Q: A force F1 = 4.90 N North and a force F2 = 9.80 N Southwest are added. The resultant vector is…

A: F1 = 4.90 N due north F2 = 9.80 N due south west

Q: at an angle of 0°. Meanwhile, the second vector is 6.7 cm long and is directed at an angle of 240°.…

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Q: A force vector points at an angle of 24.4° above the +x axis. It has a y component of +386 newtons…

A: Given data:  Angle (θ) = 24.4° y-component of force (Fy) = +386 N Required: The magnitude of vector…

Q: Consider the vector whose x- and y-components are given to be 3.3710 and 3.9645, respectively.…

A: Given data-                          x component of  vector (A→) = 3.3710                          y…

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 x and y components of a displacement vector are –3.00 m and +4.00 m, respectively. What angle…

A: The x-component of the displacement vector is, sx=-3 m The y-component of the displacement vector…

Q: Vector A = 6.0 m and points 30° north of east. Vector B= 4.0 m and points 30° west of south. The…

A: Given: The vector A is 6 m 30o north of east. The vector B is 4 m 30o west of south. The diagram of…

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: The x-component of vector  R  is  Rx = −27.2  units and its y-component is  Ry = 31.4 units.…

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Q: Please add the following vectors. Find the resultant vector, the magnitude of the resultant vector,…

A: Given:

Q: Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm…

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Q: In three vector shapes given. As seen here | a | = 20 units | B | = 40 units and | c | = 30 units.…

A: | a | = 20 units | B | = 40 units and | c | = 30 units Write the vectors in the components form  A→…

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: the components of vector Q are given as follow: Qx+23.5m Qy=18.6m What is the measure of the angle…

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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 vector A has a magnitude of 15 (in some unspecified units) and makes an angle of 25° with the x…

A: Given, the magnitude of vector A = 15, the angle made with the x-axis, 25° the magnitude of vector B…

Q: What is the direction of the resultant vector from +x-axis counter clockwise of vectors A = 2.0 m,…

A: Given Data: Vector A length, A=2 m & inclination angle, θA=35° Vector B length, B=5 m &…

Q: Vector A has a magnitude of 40 units and points in the positive y direction. When vector i is added…

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Q: The x-component and the y-component of the vector with a magnitude of 25.0 m and a direction of…

A: The x component of any vector a is,  ax=acosθ The y component of vector a is,  ay=asinθ Here, a is…

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

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Q: the professor asks to find the vector D=A+B-C, where vector A has a magnitude of 8.29 units and…

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Q: If vector A has a magnitude of 36.0 m in the x direction and vector B has a magnitude of 17.0 m in…

A: Given  A=36 i m B=17j m

Q: Vector A has x and y components of -9.00 cm and 18.0 cm, respectively; vector B has x and y…

A: Given data:  The components of vector A and B Ax = -9.00 cm,  Ay = 18.0 cm Bx = 12.8 cm,   By =…

Q: What is the unit-vector notation for each of the following vectors, all with magnitudes of 50.0? (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,

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

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Q: The x- and y- components of a displacement vector are -7.00 m and 8.00cm, respectively. What angle…

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Q: What are (a) the x component and (b) the y component of a vector in the xy plane if its direction is…

A: Given: P = 7.3 m  A = 250°

Scalars and Vectors

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