Vector A has a magnitude A = 1 and makes an angle of 30 degrees with respect to the x- axis (in the first quadrant), vector B has a magnitude B = 2 and makes an angle of 60 degrees with respect to the x-axis (in the fourth quadrant); see figure below for details. What is the magnitude of the resultant vector C = A + B? What angle (acute) θ does the vector C make with the x-axis?

Q: The displacement vectors A and B shown in the figure below both have magnitudes of 1.97 m. The…

A: Given:-  The magnitude of the vectors A and B is 1.97 m  The direction of vector A is θ =42° Find:-…

Q: Q20. An open tub rolls across a frictionless surface. As it rolls, rain falls vertically into the…

A: Given:: Quantitative explaination

Q: Vector S has a magnitude of 8 units and makes an angle of 46 degrees with respect to the positive x…

A: Given: Vectors S = 8 units at angle 46o with the positive x axis. T = 6 units at an angle 36°…

Q: You found a treasure map and it said: Start at the well, go 100 m straight south, then 30 m, 40°…

A: Refer to the figure :

Q: segment. Find the magnitude and direction of the resulting (overall) displacement of the plane (a)…

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Q: Vectors A, B, and C form the sudes of an isosceles triangle. The angle between two vectors is 130°…

A: Please see the answer below

Q: A hiker walks along the city streets 4.0 km north, then 3.0 km west. What is the magnitude of the…

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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: Vector V with magnitude | V | forms an angle with the positive x-axis. Give the magnitude of the…

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Q: The magnitude of vector A is 155.6 m and it points in the +y-axis direction. The magnitude of vector…

A: The magnitude of the vector A is 155.6 m. The magnitude of the vector B is 205.5 m and makes an…

Q: The figure shows a two-dimensional vector A. The x-component of A is –10.30 and the y-component is…

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Q: Vector A has a magnitude of 8.00 units and makes an angle of 42.0° counter-clockwise from the…

A: Given: The magnitude of the vector A→ is 8 units. The angle made by the vector A→ with respect to…

Q: Find the resultant vector using the analytical method. Vector A= 20 km, 30° N of E Vector B- 15 km,…

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Q: Three displacement vectors of a croquet ball are shown in the figure, where  |A| = 16.0 units,…

A: Given Magnitude of vector A=16.0 unit B=35.0 unit C=30.0 unit Now from the given diagram we can…

Q: A pilot flies her route in two straight-line segments. The displacement vector A for the first…

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Q: The vector A has a magnitude of 5.0 and a direction of 14°, while B has a magnitude of 4.0 and a…

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Q: Vector A has a given magnitude of |A|=6.5 and points due east. Vector B, of unknown magnitude,…

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Q: The magnitude of vector A is 235.0 m and it points in the +y axis direction. The magnitude of vector…

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Q: What is the x component, A, of the vector A shown in the graph below? The magnitude of the vector is…

A: Given data:  Magnitude of vector (A) = 1.75 Angle (θ) = 120° Required: The x component of the vector…

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: A small plane flies a distance d1 = 46 km in a direction θ1 = 62o north of east and then flies d2 =…

A: Depict the path followed by the small plane using the given co-ordinates,

Q: Two vectors, A= (AA) = (2.42, 1.36) and B=(B₂B) = (2.59, 1.61) are added. Find the angle of the…

A: GIVEN DATA:Two vectors are given: = (Ax , Ay) = (2.42, 1.36) = (Bx , By) = (2.59, 1.61) These…

Q: What would be the direction of the resultant vector if you add vectors A whose magnitude is 4 m and…

A: We are given 2 vectors. We are given the direction in which they are aligned. We first write the…

Q: What is the principal angle a vector located at 52° South of East? O 308° O 142° O 238° о 38°

A: Given, A vector , 52° South of East . Principal angle is the angle in anticlock wise direction from…

Q: During a walk through a park, a person wanders to look at three different gardens. The person makes…

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Q: Vector A has components A, = -14.6 and A, = -1.28. What is the magnitude A of this vector? A =…

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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: A pilot flies her route in two straight-line segments. The displacement vector A for the first…

A: The magnitude of the displacement vector A is The direction of displacement vector A is  north of…

Q: Vectors A and B are shown in the figure. Vector C is given by B - A.The magnitude of vector A is…

A: Magnitude of vector A→ is A=18 units Magnitude of vector B→ is B=10 units Vector  A→ makes an angle…

Q: 109 B 0 x i

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

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: = Consider the three displacement vectors A = (-41 - 31) m, B = (51- 3ĵ) m, and Ĉ method to…

A: Vector.

Q: Calculate the magnitude and direction of A

A: From the Vector Law of Addition consider North as positive and south as negative( as they are…

Q: vector v is 5 unit in length, and making angle 50 degree (measured ccw from +x axis). It can be…

A: Given,  v= 5 units Angle = 50 degree We need to find, vx=?

Q: A vector A of 12 units eastward makes an angle of 40° with vector B of 18 units. Find the magnitude…

A: Vector addition using triangle method Here, θ is the angle between vectors A and B, α angle of the…

Q: Two vectors A and B are shown in the figure. Vector A has a magnitude of rA = 29.3 and an angle of 0…

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Q: The x component of vector A is -15.8 m and the y component is +52.0 m. (a) What is the magnitude of…

A: Given that                      x component of A→ = - 15.8m              and  y component of A→ =…

Q: The magnitude of a vector is 23.5 units and points in the direction 350 degrees counterclockwise…

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Q: Since the magnitude of the vector A is 6 units and its direction is north, the magnitude of the…

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Q: Vector A has a magnitude of 34 units and points in the positive y-direction. When vector B is added…

A: given  vector A has magnitude and in y direction  A→ = 34 j^ vector B is added to A, thus resultant…

Q: Vector A has a magnitude of 37 units and points in the positive y direction. When vector B is added…

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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: vector A. The x-component of A is -10.30 and the y-component is 6.45. What is the magnitude A of…

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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.