A particle undergoes three consecutive displacements given by vectors D1 = (3.5î − 2.5ĵ − 3.0 ) mm, D2 = (2.0î − 2.5ĵ + 3.0 ) mm, and D3 = (−8.5î + 9.0ĵ + 8.0 ) mm. a)Find the resultant displacement vector of the particle (in mm). D= b)What is the magnitude of the resultant displacement (in mm)? c)If all displacements were along one line and in the same direction, how far would the particle travel (in mm)?

Q: For the displacement vectors a = (3.0 m)i + (4.0 m)j and b= (5.0 m)i + (-2.0 m)j , Give b-a (a) in…

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Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00j. Find the magnitude of each vector. (2 pts.)…

A: (1)  The first vector is given by- A=4.00 i+7.00j Here a1=4.00 and a2=7.00 Hence magnitude of A…

Q: Given the vectors A = (-2î + j) m and B = (4î – j) m- The direction of the resultant vector R = Å +…

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Q: hen he did a 90-deg clockwise turn and then moved 50 km further. After that, the ship captain…

A: Given data :-   He started from a harbor in Hawaii and traveled 100 km, 50 degrees W of S.  he did a…

Q: D2= (10î – 7.0j +4.0k )mm, D3 = (-7.0i +4.0j + 1.0k )mm . (a) and Find the resultant displacement…

A: Let D1, D2, and D3 denote the three consecutive displacements, and D denote the resultant…

Q: Suppose you have three vectors: A⃗=−3i^+6j^ B⃗=2i^−4j^ C⃗=4i^+3j^ What is the magnitude of vector…

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Q: To get from one office to another in a company, a man travels as follows: B = 25 m, 53° East of…

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

A: Given- x = -0.31t2+7.2t+28 y = 0.22t2- 9.1t+ 30A) At  t = 15 sr(t)=xi+yj=-0.31t2+7.2t+28i+ 0.22t2-…

Q: Given a= 2i+j, b = i-4j+k and c=j+k, (where i, j and k are unit vectors in x,y and z directions…

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Q: Vector A has magnitude 150.0 mm along the x-axis. Vector B has magnitude of B at an angle of 115°…

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Q: Express the vector F= 10.00 m/s, 35.00 degree North of East to component form, while converting to…

A: Given  F= 10.00 m/sec  35.00 degree north of east  So  F--> =??

Q: 3. Given : Vector A = "No. of letters of your First Name" units @ N 75° E Vector B = "No. of letters…

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Q: Calculate (a) the x- and (b) y-components of the vector with magnitude 24.0 m and direction 56.0º.

A: Given Magnitude of Vector=24.0 mDirection 56.0°

Q: The route followed by a hiker consists of three displacement vectors A, B, and C. Vector A is along…

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

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Q: The route followed by a hiker consists of three displacement vectors A→ , B→ , and C→ . Vector A→ is…

A: Let B and C be the vector  And A = 1550 m  in magnitude  In vector form , the three vector is…

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

A: Please see the answer below.

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: Vector A is 2.80 cm long and is 60.0 degrees above the x-axis in the first quadrant. Vector B is…

A: Given data The length of the vector A is lA = 2.80 cm. The angle made by the vector A with the…

Q: Q6. Three displacement vectors (A, B, and Ĉ) are shown in Figure, where the magnitude of the vectors…

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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: To get from one office to another in a company, a man travels as follows: = 25 m, 53° East of Nor =…

A: Given B=25 m, 53o East of North =25 m, 37o North of East.

Q: 3. A student adds two displacement vectors with magnitudes of 6.0m and 8.0 m, respectively. Which…

A: To determine: The magnitude and resultant which is not possible from the choice given, for a student…

Q: Given that vectors T = + 2.00x + 6.00y – 4.00z and     D = 2.00x – 3.00y – 4.00z…

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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: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: Consider a vector (A) in the XY-plane as shown below:     It makes an angle (θ) with the x-axis and…

Q: 22. Three displacement vectors of a cro- quet ball are shown in Figure P3.22, where A 40.0 units,…

A: The resultant displacement is r.

Q: The route followed by a hiker consists of three displacement vectors A,B ,c Cand . Vector  A is…

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Q: Consider the three displacement vectors A (-4î - 3j) m, B (3î - 3j) m, and C (-8î + 5j) m. Use the…

A: Write the given values with suitable variables. A→=-4i^-3j^ mB→=3i^-3j^ mC→=-8i^+5j^ m

Q: Given two displacement vectors in unit vector notation A = 3.50î – 1.50ĵ + 9.25k B = 2.50î + 4.50ĵ –…

A: Given Data: The displacement vector A is given as, A=3.50i^-1.50j^+9.25k^ The displacement vector B…

Q: The vector difference between Vectors A and B is 223.606 N, 26.57° N of W or 223 606 N, 63.43° NW.…

A: north of west

Q: What are the components of the following Vector?  D = 30.0 km @ 70.0 degrees below +x-axis

A: Given: The vector has magnitude D = 30 km. Angle with +x axis = 70 degree clockwise direction.

Q: Consider the three displacement vectors A = (4î – 35) m, B = (2î – 5j) m, and C = (-3î + 5j) m. Use…

A: Given : A→=4 i^-3j^   m B→=2 i^-5 j^   m C→=-3 i^+5 j^   m   D→=A→+B→+C→ What we have to find :…

Q: The components of vector 4 are Ax = +2.2 and Ay = -6.9, and the components of vector B are given are…

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Q: A sailboat race course consists of four legs, defined by the displacement vectors , B,č, and 5, as…

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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 Find the…

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Q: o vectors with a resultant of 14.54 km 10* NE. If one of the vectors is 10 km due east, what is the…

A: Given values:- Resultant vector,(R)=14.54 km ----(1) Angle,(θ)=10 0 ----(2) One of the…

Q: F3 65° 35° F, The magnitude of the vector is F2=1.5N .What is the rectangular component of vector F2…

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Q: Given three vectors; A = 5m West, B = 8m East and an unknown vector C which lies along the x- axis.…

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Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: Given data: The first displacement vector of grass hopper towards west is A=27.0 cm. The second…

Q: Given two vectors A⃗ =−2.00i^+3.00j^+4.00k^A→=−2.00i^+3.00j^+4.00k^ and B⃗…

A: A→ = -2i^ + 3j^ + 4k^B→ = 3i^ + j^ - 3k^

Q: 1. What is the magnitude and direction of 2. What is the magnitude and direction of AB? RT? B 8.5…

A: (1) The vector AB→ is shown below. The magnitude of the vector AB→ is equal to 8.5 and the…

Q: Given the following vectors: A = 80.0 N 25.00 south of east, B = 100. N 82.00 north of east…

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Q: vector E an opposite in direction. Express it in unit-vector notation. Use the component method of…

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Q: Vector A has magnitude 29 and direction 284 degrees. Vector B has magnitude 22 and direction 165…

A: Given ,  magnitude of vector A = 29 direction of A = 284 degrees magnitude of vector B = 22…

Q: ector A has a magnitude of 15.0 units and it points in a direction 310° counterclockwise from the…

A: Ax=Acosθ=15.0 unitscos310°=9.64 units

Q: Consider the three displacement vectors A (3i- 35)m, B= (2i- 4)m, and C (-2i + 7j)m. Determine the…

A: A→= 3 i^ - 3 j^B→= 2 i^ - 4 j^C→= -2 i^ -7 j^M→= A→ + B→ +C →M→= (3 + 2 - 2) i^ +(- 3 - 4 + 7) j^M→…

Scalars and Vectors

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