Two position vectors lie in a plane. The first, vector rA, points at an angle of 20° below the positive x-axis and has a magnitude of 43.0 m. The second, vector rB, points at an angle of 48.0° above the positive x-axis and has a magnitude of 75 m. What is the magnitude, in meters, and what is the direction of vector rC, in degrees? Give the direction as an angle measured counterclockwise from the positive x-axis.

Q: The displacement vectors A and B shown in the figure below both have magnitudes of 4.45 m. The…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

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Q: 2. A delivery man starts at the post office, driyes 40 km north, then 20 km west, then 60 km…

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Q: 2. Vectors A and B are shown in the figure. = B-1. The Vector is given by magnitude of vector is…

A: The force system is shown below.

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A: Given that: A=B=C=D=5.63 unit

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A: A physical quantity is classified into 2 main groups-scalars and vectors. Vectors are the quantities…

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Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: I. Draw a simple triangle that shows the two vectors connected. And find the resultant vector,…

A: Given: F1=15 cm, NorthF2= 9 cm, East Hence the diagram is shown below:

Q: ectors A and B are shown in Figure 3. The magnitudes of the two vectors are shown in arenthesis. a.…

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Q: The following are five displacement vectors: A=2000 lb, north B=4000 lb, 60° north of west C=5000…

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Q: ector A has components ??=−16.1��=−16.1 and ??=4.32��=4.32 . What is the magnitude ?� of this…

A: Given data as per the question Ax=−16.1Ay=−4.32

Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.0°…

A: We will first break the vectors into the component in the perpendicular axes. We split them in the X…

Q: y (m) Problem 2: (2 points) Vectors à and C are shown in the figure. Vector Ở is given by ở = Ā – B.…

A: given that C→=A→-B→ we can also rearrange it as :- B→=A→-C→ angle between A and C θ=30+52=820…

Q: Given the following vectors: A = 5 m, South B = 7 m, West C = 4 m, North of East D = 9 m, East What…

A: Given data A = 5 m, South B = 7 m, West C = 4 m, North of East D = 9 m, East   now we will plot…

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: Two vectors, A and B, have magnitudes of 5.40 units and 9.81 units, respectively. The angle between…

A: Ans; 35.102 unit2 Explanation:Step 1:

Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: Three force vectors, F1, F2 and F3, have magnitudes of 8N, 12 N and 15 N respectively. The angles…

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Q: Vector A has components Ax = 1.46 and A, = -16.6. What is the magnitude of this vector? JÄ = Find…

A: Components of vector A, Ax = 1.46 and Ay = - 16.6 Magnitude of A and Angle between vector A and +x…

Q: The problem below refers to a vector V with magnitude |V| that forms an angle ? with the positive…

A: Magnitude of a vector  is Angle made by given vector with +x-axis is Find:Horizontal and vertical…

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: 2i+j+3k represents a vector. a)Determine the magnitudes of the x, y, and z components, b) R's…

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Q: The displacement vectors A and B shown in the figure below both have magnitudes of 2.35 m. The…

A: Given information: the magnitude of the vector A and B = 2.35 m The angle made by vector A with x…

Q: Vector R has a magnitude of 36 units directed 120° from the +x-axis of a Cartesian Plane. What are…

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Q: following problem all angles are measured counter-clockwise from the positive x-axis. The vector A…

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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 magnitude of vector A is 22.5 units and points in the direction 335° counterclockwise from the…

A: Given that the magnitude of the given A vector is 22.5units, and the vector is pointed…

Q: A small plane flies a distance d1 = 32 km in a direction θ1 = 64o north of east and then flies d2 =…

A: Given: Distance d1 =32 km Distance d2 =23 km Angles = 64 degrees and 18 degrees

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

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Q: Consider the following two vectors: A = 37i - 47j and B = -19j a. Find the magnitude of the vector…

A: Given that:- Vector A=37i-47j and Vector B=-19j

Q: Given two vectors, Land D where L=275ⅈ-64j and D=161.7ⅈ+44j what is the resultant, R, of these two…

A: Resultant of a vector is given by, R=L2+D2 Substitute the given values in above equation,…

Q: Three vectors are shown in the figure below, along with an x-y coordinate system. y (m) 34 2- A -5…

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Q: Vector Addition using Component Method (Analytical), solve the problem. The magnitudes of the four…

A: Concept: The Length is given to be,  A = 16.0 m B = 11.0 m C = 12.0 m D = 26.0 m Since Vector A is…

Q: The angles γ1 (with the X-Axis.),γ2 (with the Y- Axis ) and γ3 (with Z- Axis) that the vector v̄ of…

A: Given  magnitude of vector (v)=50  angle with x-axis=750 angle with y-axis=600 angle with z…

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

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A: Given A=13.4m θ=35.2  C=14.1 m α=13

Q: 109 B 0 x i

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

Q: Vector A had a magnitude A=4.8 and direction theta = 163.4 degrees measured counterclockwise from…

A: x- component =?

Q: You walk 37 m to the north, then turn 61° to your right and walk another 45 m. Determine the…

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