If two collinear vectors A and B are added, the resultant has a magnitude equal to 4.0. If B is subtracted from A , the resultant has a magnitude equal to 8.0. What is the magnitude of B?

Q: You have two vectors. One has a magnitude of 3.9 cm and an angle of 57.4 degrees while the other has…

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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: Vector C has a magnitude of 28.2 m and points in the -y-direction. Vectors A and B both have…

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Q: Two position vectors lie in a plane. The first, vector rA, points at an angle of 20° below the…

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Q: 17. Drawing a shows two vectors A and B, and drawing b shows their components. The scalar components…

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Q: Problem 7: Vector A has magnitude 32 and direction 286°. Vector B has magnitude 25 and direction…

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Q: The x- and y-components of a vector are: vx = 2.0 m/s, vy = -6.0 m/s.  Find the magnitude of the…

A: Given: horizontal x component of velocity vx=2.0 m/s. vertical y component of velocity vy=-6.0 m/s.

Q: Consider the two vectors, A = 17.5x + 10.5y B = 3.1x - 3.5y a)What is the magnitude of the vector A…

A: Given,  A= 17.5 x + 10.5 y B= 3.1 x - 3.5 y We need to calculate,  a)What is the magnitude of the…

Q: Vector C has a magnitude of 23.4 m and points in the −y‑direction. Vectors A and B both have…

A: Given value--- C = 23.4 m. alpha = 42.9 degree.  beta = 28.7 degree. We have to find--- magnitude…

Q: Let vector E = (9 i + 7 j) and vector F = (7 i - 10 j). Find the magnitude of E. Find the…

A: E→ = 9i^ + 7j^F→ = 7i^ - 10j^

Q: Consider two vectors are in the x-y plane. Vector a has a magnitude of 5.0 N and is directed along…

A: In general, a vector is defined as follows. A→=Axi^+Ayj^ Let us calculate the x  and ycomponents of…

Q: Vector C has a magnitude of 25.8 m and points in the -y- direction. Vectors A and B both have…

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Q: Vector A is 2.8 meters and is 60 degrees above the x axis in the first quadrant. Vector B is 1.9…

A: Given that A is 2.8 meters and is 60 degrees above the x axis in the first quadrant. Vector B is 1.9…

Q: Consider the two vectors, A=17x+11.5y, B=4.5x-3.5y. What is the angle of the vector A-B, measured…

A: Vector A-B can be found out using A-B = (17-4.5)x +(11.5-(-3.5))y  A-B = (12.5)x+(15)y

Q: Two vectors Au and Bu are at right angles to each other. The magnitude of Au is 1. What should be…

A: Given, A=1 Resultant R=2 Angle A=90o

Q: The figure shows three displacement vectors A, B, and C. These vectors are arranged in tail-to-head…

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Q: Vector C⃗ has a magnitude of 24.6 m and points in the −?‑ direction. Vectors A⃗ and B⃗ both have…

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Q: Vector A points to the right and vector B points to the left with a magnitude equal to 2A.  What…

A: Magnitude of vector A is A (to the left) Magnitude of vector B is 2A (to the right)

Q: Problem 2: Consider the two vectors, A = 13.5x + 35.5y B = 6.9x - 15.5y Part (a) What is the…

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Q: Vector a has magnitude 1/√3, vector b has magnitude 4, the angle between a and b is 60° and n is the…

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Q: Given vectors a=(4,8) and b=(-3,0) Find the magnitude of the resultant vector: T = 2 a + 36

A: Represent the vectors a and b in their resolved component.

Q: The displacement vectors A and B shown in the figure below both have magnitudes of 1.90 m. The…

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Q: Two vectors are given by A = 4.00 i + 7.00 j and B = 5.00 i – 3.00 j. What is the resultant…

A: Given Two vectors are given by A = 4.00 i + 7.00 j B = 5.00 i – 3.00 j

Q: 109 B 0 x i

A: Given: Displacement vectors A has magnitude of 3.7 m, making 22 degrees with horizontal.…

Q: What is the x-component of vector E? Suppose E = 2A+ 3B where vector A has components A, = 5, Ay = 2…

A: Given: E→ = 2A→ + 3B→Ax = 5 , Ay =2Bx = -3 , By=-5

Q: Given two vectors a=3.2i-3.4j and b=6.7i+8.9j find the magnitude of the vector a+b, find the…

A: Given value--- a=3.2i-3.4j b=6.7i+8.9j We have to find---  find the direction of the vector a+b,…

Q: vector A has components Ax = -3.0 and Ay = -4.0, and vector B has components Bx = 3.0 and By = -8.0,…

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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 27 units and points in the positive y-direction. Vector B is added to A,…

A: Vector A has magnitude 27 which is along +ve y direction.  Resultant of vector A & B has…

Q: Vector C has a magnitude of 22.2 m and points in the −y‑ direction. Vectors A and B both have…

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Q: 35 В - 9 m А - 5 m

A: The given values with suitable variables are listed below. Here, A denotes the magnitude of the…

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: Vector A can be expressed in (i,j,k) notation as 5.0i - 4.0j, and vector B as -7.0i + 2.0j.…

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Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 4.58 and 8.82 units, respectively,…

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

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Q: Two vectors A⃗ and B⃗ are at right angles to each other. The magnitude of A⃗ is 2.00. What should be…

A: Magnitude of vector A = 2.00Magnitude of their sum (R) =5.00Angle between the vectors = 900

Q: A figure skater glides along a circular path of radius 3.84 m. (a) If she coasts around one half of…

A: a) The magnitude of the displacement of vector is equal to the diameter of the circle. The…

Q: Vector V1 is 5.0 units long and points along the negative x-axis. Vector V2 is 10.0 units long and…

A: V1 = 5 units (Along negative x axis) V2 = 10 units @30o above the x axis

Q: A hiker walks 2.5 miles in a direction 65° West of North, then 3.5 miles in a direction 40° South of…

A: A vector is a physical quantity that has both magnitude and direction. The resultant vector is found…

Q: The three vectors in the figure have magnitudes a = 2.80 m, b = 3.00 m, and c = 10.2 m and angle 8 =…

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Q: A vector A has a magnitude of 17 (in some unspecified units) and makes an angle of 23° with the…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: Vector ? Ԧ points along the +y axis and has a magnitude of 100.0 units. Vector ? points at an angle…

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Q: n the sum A + B = C, vector A has a magnitude of 12.0 m and is angled 40.0 ◦ counterclockwise from…

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Q: A sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and, as…

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Q: Consider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B?…

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Q: Vector A has a magnitude of 10 units and a direction angle of 14° measured counterclockwise positive…

A: magnitude of vector  A = 10 units angle = 140 from+x axis magnitude of  B = ?

Q: The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a…

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Q: Vector vec (A) has magnitude 4.00 units; vector vec (B) has magnitude 4.50 units. The angle between…

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Scalars and Vectors

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