Obtain expressions in component form for the position vectors having the following polar coordinates. (a) 12.4 m, 160° counterclockwise from the +x axis  =         m (b) 4.00 cm, 70.0° counterclockwise from the +x axis  =         cm (c) 24.0 in., 226° counterclockwise from the +x axis  =         in.

Q: Determine the magnitude and the coordinate direction angles of the resultant

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Q: Solve for the magnitude of the resultant and the direction cosines of the following cartesian…

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Q: Three vectors á, b, and c, each have a magnitude of 53.0 m and lie in an xy plane. Their directions…

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Q: Given the following vectors, find the resultant using analytical method: 1. A 50 m at 55 B = 150 m…

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Q: The components of a vector B>satisfy Bx 7 0 and By 6 0.Is the direction angle of B>between 0°…

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Q: What is the resultant of vectors A=5m West and B=15m 60° North of West using the polygon method?

A: A = 5 m West B = 15 m at 60° North of West Choose a scale as 1 cm = 5 m.

Q: A certain position vector has components ? = 47 m and ? = −18 m. Find its magnitude and angle…

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Q: Obtain expressions in component form for the position vectors having the following polar…

A: (given) Polar coordinate of a point is (13.0, 1400) x component of the point in cartesian coordinate…

Q: Given the vector A = 100.00N at 30.00º above the negative x-axis. In terms of rectangular form, the…

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Q: A and B vectors S. may be defined to be equal if they have the same magnitude and point in the…

A: TWO VECTORS WILL BE EQUAL IF  1-There magnitude are equal, same length 2- there plane and direction…

Q: Obtain expressions in component form for the position vectors having the following polar…

A: Given polar co-ordinates : a→r=12.0 m, θ=160°b→r=3.80 cm, θ=80°c→r=24.0 in, θ=202°

Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: If B is added to Č = 2.2i + 7.8j, the result is a vector in the positive direction of the y axis,…

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Q: What is the resultant of vector A=5m West, B=10m 30° South of West and C=15m South using component…

A: A = 5 m West, B = 10 m at 30° South of West C = 15 m South  Write the displacements in the vector…

Q: Given the displacement vectors A = (2i + 4j + 4k) m and B = (5i - 2j + 3k) m, findthe magnitudes of…

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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: Find the component and/or resultant vectors. 62 m/s Vx = Angle 0 = Vx 85 m/s V V = 11.1 m/s Angle 0…

A: The component vector Vx=hyp2-adj2=85 m/s2-62 m/s2=58.1 m/s≈58 m/s

Q: The vector B>has components Bx = -2.10 m and By = -1.70 m. Find the direction angle,u, for this…

A: Let the magnitude of that vector be B0. And as the both components are negative , so clearly the…

Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.34o west of…

A: According to question we need to find--- (a) the x-component of E, Ex, ? (b) the magnitude and…

Q: Two points are given in polar coordinates by (rθ) = (2.00 m, 50.0°) and (r,θ) = (5.00 m, −50.0°),…

A: Given: (r, θ) = (2.00 m, 50.0°) and (r, θ) = (5.00 m, −50.0°)

Q: Obtain expressions in component form for the position vectors having the polar coordinates (a) 12.8…

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Q: • Find Ax and Ay for the vector its magnitude and direction given by A = 3.5 m and ©=66°…

A: (a) The values are, Ax = 3.5cos(66) = 1.4m Ay = 3.5sin(66) = 3.18m

Q: Obtain expressions in component form for the position vectors having the following polar…

A: (a) 13 m at 140 degree  The resultant R is given by  R→ = 13 (Cos 140 i^ + Sin 140 j^)R→ = - 9.96 i^…

Q: Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance…

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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  A  has components  Ax = −3.00 m  and  Ay = 6.00 m.  Find the magnitude (in m) and the…

A: Given,

Q: Obtain expressions in component form for the position vectors having the following polar…

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Q: Find the resultant vectors. 1. A 10 M, NORTH = B = 20 M, NORTH 2. C= 15 M, WEST D = 20 M, WEST 3.…

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Q: The vector B has components Bx -2.10 m and By = -1.70 m. Find the direction angle, for this vector?

A: Given: B→=Bx→+By→=-2.10 i^-1.70 j^ m

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 16.0 m and…

A: The x component and y component of the vector is ,

Q: Obtain expressions in component form for the the position vectors having the following polar…

A: Answer:   To determine the above values we have general solution which is given as below:   Suppose…

Q: In the sum A→+B→=C→, vector A→ has a magnitude of 13.4 m and is angled 44.9° counterclockwise from…

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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 are the polar coordinates of a vector whose component vectors are -6.50 m vertically and +9.60…

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Q: What is the magnitude of the resultant of vectors A = 10 units 30 degrees North of East and B = 20…

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Q: A displacement vector P has a magnitude of 91 ft with component Pr 78 ft and Py = - 9 ft. Express in…

A: Given data: The magnitude of P→,P→=91 ft\]    Px=78 ft Py=-9 ft

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

A: Given information:Magnitude of the vector (r) = 20.0 mInclination of the vector (θ) = 20.00

Q: Obtain expressions in component form for the position vectors having the following polar coordinates…

A: (a) 13 m at 140° The vector R is given by  R→ = 13cos 140° i^+ sin 140° j^R→ =- 9.96 i^ + 8.36 j^ m…

Q: Obtain expressions in component form for the position vectors having the following polar…

A: The expression for the component form of the position vectors is, Rx=RcosθRy=Rsinθ The polar…

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: A rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been…

A: Here, Now,

Q: Find the magnitude and direction of the following vectors using trigonometric functions: a. A= 10i…

A: The magnitude of the vector is denoted asA The direction of a vector can be calculated by the angle.…

Q: Vector A has a magnitude of 23.0 m and makes of 30o above the positive x axis. Vector B has a…

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Q: If vector A=[15, 80 degrees] and vector B= 12i - 16j, then what is the magnitude of A-B?

A: Given:

Q: If a vector →A→ has the following components, use trigonometry to find its magnitude and the…

A: Introduction: Vector is the quantity which depends on direction as well as magnitude. Whereas,…

Q: For the vectors a→=(3.0⁢m)î+(4.0⁢m)ĵ and b→=(5.0⁢m)î+(-2.0⁢m)ĵ, give a→+b→ in (a) unit-vector…

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Q: Vector A is 2.00 units in length and points along the positive x axis. Vector B is 7.00 units in…

A: Given The vector B in the negative y axis is By=-7 unit. The vector A in the negative x axis is…

Q: 2.1. Consider the displacement vector Ā=(3î +3j )m, B= (i –4j)m, and č=(-2i +5j)m. Use the component…

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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.