Consider the three displacement vectors A = (4î – 3j) m, B = (2î – 5j) m, and C = (-3î + 5j) m. Use the component method to determine the following. (a) The magnitude and direction of the vector D = A +B + C. magnitude Note that all three vectors lie in the xy plane so the sum of these vectors will also lie in the xy plane. m direction -45 ° counterclockwise from the +x axis (b) The magnitude and direction of E = -Ã – B + C. %3D magnitude Be very careful with the signs of the components. Remember that -A means to replace each component of A with the negative of its value. m direction ° counterclockwise from the +x axis

Q: In the figure below, a vector a with a magnitude of 21.0 m is directed at an angle 0 = 56.0°…

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Q: Consider the following three displacement vectors: Vector À has a magnitude of 3.60 km and a…

A: A→ = 3.60 km @30o south of west B→ = 7.30 km @15o north of westC→ = 3.10 km @54o north of east

Q: Two vectors, T and s lie in the xy plane. Their magnitudes are 4.85 and 4.39 units, respectively,…

A: Given data: The magnitdue of vector r = 4.85. The magnitdue of vector s = 4.39. Direction of r is…

Q: A displacement vector points in a direction of 31 degrees left of the positive y-axis. The magnitude…

A: Given,          A displacement vector points in a direction of 31 degrees left of the positive…

Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

A: Given data: One vector has components = (3,4) Second vector has components = (-1,-4) Required:…

Q: 1. The polar coordinates of a point are r = 5.50 m and 0= 240°. What are the cartesian coordinates…

A: According to company policy .I have to solve only one question . Please post  remaining questions…

Q: A displacement vectorr→in the xy plane is 89 m long and directed at angle θ = 23° in the figure.…

A: The magnitude of the vector r is 89 m and the angle made by the vector to horizontal is 23̊. The…

Q: Let be a vector , whose rectangular components are V = -4 and vy = 3: a) Draw the vector i on the…

A: A vector quantity has magnitude and direction. In two dimensions, a vector is represented by its…

Q: |ssm The figure shows three displacement vectors Ā, B, and C. These vectors are arranged in…

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Q: In Problem,the vector v has initial point P and terminal point Q.Write v in the form that is,find…

A: Given that Position of P is = ( 0,0) Position of Q is = (3,4)

Q: Find a vector of length 2 in the opposite direction of the displacement from P,(-2,3,5) to P,(3,5,-…

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Q: ne three displacement vectors in the drawing have magnitudes of A = 5.30 m, B = 5.05 m, and C = 4.10…

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Q: Three girls skating on a circular ice ground of radius 200 m start from a point P on the  edge of…

A: Displacement is given by the minimum distance between the initial and final positions of  a…

Q: Consider the three displacement vectors A (S- 3) m, B (- ) m, and C-(-si + 5) m. Use the component…

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Q: is the direction of the vector at point c in the i, j, i-j or negative j.

A: Direction of vector at a given point is always along the normal.

Q: Consider the three displacement vectors shown in the figure: Vector A has a magnitude of 8.40 km and…

A: magnitude of A = 8.4 km magnitude of B = 6.4 km magnitude of C = 3.5 km

Q: Suppose you first walk A = 11.0 m in a direction 0, = 23° west of north and then B = 24.5 m in a…

A: first leg of walk (A) = 11 m @23o west of north Second leg of walk (B) = 24.5 m@45o south of west

Q: Vector A has a magnitude of 16.6 and is at an angle of 15.5° counterclockwise from the +x-axis.…

A: vector A has magnitude 16.6 at angle 15.5° vector B has magnitude 24.7 at angle -35.3   it is…

Q: 12. Drawing a shows a displacement vector A (450.0 m along the -y axis). In this x, y coordinate…

A: The rotation from +x’ axis, the angle should be (-125o) where clockwise rotation takes as a negative…

Q: Consider the three displacement vectors  = (−2î − 3ĵ) m,  = (4î − 5ĵ) m, and = (−6î + 5ĵ) m.  Use…

A: Given data: A= (−2î − 3ĵ) m B= (4î − 5ĵ) m C= (−6î + 5ĵ) m Need to determine the magnitude and…

Q: Given two vectors A= -2.0Oi + 3.00j +4.00k and B= 3.00i + 1.0oj -3.00k, do the following. (a) Find…

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Q: 1.2 Vector A has magnitude of 11 m/s² and makes an angle of 65 degrees with the positive x-axis, and…

A: (a) The components of the vector A is, Ax=Acos65o=11 m/s2cos65o=4.65 m/s2Ax=Asin65o=11…

Q: Given two vectors A = -2.00i3.00j4.00k and B 3.00i 1.00j 3.00k. Obtain components of a unit vector…

A: Given:

Q: The three displacement vectors A° , B* , and C in Figure below are specified by their magnitudes A =…

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Q: Consider the four displacement vectors A = (3^i + 3^j) m, B= (*i - 4^j) m, C = (- 2^i + %3D %3D 5°j)…

A: A→ = 3i^ + 3j^ m B→ = i^ - 4j^ m C→ = -2i^ + 5j^ m D→ = ? R →(Resultant vector) = -7 j^ m

Q: Consider the three displacement vectors A = (-2î – 3ĵ) m, B = (4î – 5ĵ) m, and C = (-6î + 5ĵ) m. Use…

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Q: projection of the vector P

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Q: D(10.0 m) 30 53° 25° C(120 m) A (8.00 m) Figure A1-1. Displacements on a Cartesian plane Find the…

A: Solution: Four vectors are given, and it is required to find the resultant vector in two different…

Q: on subtituting the rupected valuej in the above relation we get: R= 2 cos ST + asın i5 +4 cos 25i +…

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Q: Multiple Concept Example 9 provides background pertinent to this problem. The magnitudes of the four…

A: Write the expression for resultant of the four displacement vectors

Q: Borsalino wants to buy some ice cream in the nearest convenience store. He has to walk 5.3 meters,…

A: Given -  Magnitude of vector A→ , is A= 5.3 m and is directed along 12o north of east  and Magnitude…

Q: A watermelon seed has the following coordinates: x=-5.0 m, y = 8.0 m, and z = 0 m. Find its position…

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Q: A particle undergoes three consecutive displacements given by vectors A = (6.5î – 2.3ĵ – 2.0k) mm, B…

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Q: Consider the three displacement vectors A = (-2î - 3j) m, B = (4î - 5j) m, and C = (-6î + 5j) m. Use…

A: The three displacement vectors, A→=-2 i^-3 j^ mB→=4 i^-5 j^ mC→=-6 i^+5 j^ m

Q: Consider the four displacement vectors A = (3°i + 3°j) m, B= ("i - 4°j) m, C = (- 2°i + %3D 5°j) m…

A: The given values with suitable variables are listed below. Here, A, B, C denotes the displacement…

Q: Assume that you had 3 vectors that had a magnitude of 3 m, 4 m, and 5 m respectively. Would the…

A: Magnitudes of three vectors are 3 m, 4 m, 5 m The vector sum of the three vectors may or may not be…

Q: Given the vectors d = i-+ k and b = 2i - - 2k, determine the following: a. the scalar projection and…

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Q: Borsalino wants to buy some ice cream in the nearest convenience store. He has to walk 5.3 meters,…

A: A→=5.3 mcos12°i^+5.3 msin12°j^    =5.18 m i^+1.10 m j^  B→=2 mcos45°-i^+2 mcos45°j^    =-1.41 m…

Q: The displacement vectors A and i shown in the figure below both have magnitudes of 3.70 m. The…

A: We are supposed to answer only first three subpart,Please post 4th subpart as separate question.

Q: D(10.0 m) | 30 53 25 (12,0 m) [ 4(8.00 m) Figure A1-1. Displacements on a Cartesian plane 3. Find…

A: Given :

Q: Suppose you first walk A - 13.0 m in a direction e, - 15° west of north and then 8- 21.5 m in a…

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Q: Q/ Two vectors form an angle of 110°. One of the vectors is 20 units long and makes an angle of 40°…

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Q: The three displacement vectors A" , B" , and C in Figure below are specified by their magnitudes A =…

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Q: 1. The polar coordinates of a point are r = 5.50 m and 0 = 240°. What are the cartesian coordinates…

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Q: D (10.0 m) 30° 53° 25°. C (12.0 m) A (8.00 m) Figure A1-1. Displacements on a Cartesian plane 3.…

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Q: Proceeding from landmark A, a vehicle moves along city streets 10 km north, then 14.2 km northeast,…

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Q: 46. The three displacement vectors in the drawing have magnitudes of A = 5.00 m, B = 5.00 m, and C =…

A: Given data: The magnitude of vector A is: 5 m The magnitude of vector B is: 5 m The magnitude of…

Q: Consider the three displacement vectors A = (4î - 3ĵ) m, B = (6î - 7ĵ) m, and C = (-81 + 5ĵ) m. Use…

A: a) Determine the vector D.

Q: Given the vectors A = 2.00i + 6.00j and B = 3.00i 2.00j, (a) draw the vector sum C = A + B and the…

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Q: The magnitudes of the four displacement vectors shown in the drawing are A = 22.0 m. Determine the…

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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.