Given the displacement vectors A = (7.00 i - 2.00 j + 7.00 k) m and B = (8.00 î + 1.00 j - 8.00 k) m, find the magnitudes of the following vectors and express each in terms of its rectangular components. (a) C - A +B m +1 k) m (b) D = 2Ã -B m D= ( |î + k) m

Q: The magnitudes of the four displacement vectors shown in the drawing are A=15.0m; B=11.0m; C=13.0m…

A: It is given thatA=15 mR=11 mC=13 mD=23 mThe given problem can be solved by first converting…

Q: Given the displacement vectors A = (7.00 î – 2.00 ĵ + 7.00 k) m and B = (8.00 î + 1.00 ĵ – 8.00 k)…

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Q: 20.0° 60.0° The three displacement vectors in the drawing have magnitudes of A = 5.06 m, B = 5.70 m,…

A: According to question we need to find resultant magnetic field and direction.

Q: Vector A has a magnitude of 2.00 m and vector B has a magnitude of 5.00 m. If the direction of each…

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Q: Given that u is a vector of magnitude 2.5, v is a vector of magnitude 3 and the angle between them…

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Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: A→ = 8 ×(cos45oi^ + Sin45oj^) A→ = 5.65i^ + 5.65j^B→ = -8i^

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: Using component method, find the resultant vector of the following: a. 3m (North) and 10m (West) b.…

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Q: (3î - î). B В and (h) B-B. 60" A 10 0 30° 30° 53 D 20.0 37 62. Assuming the +x-axis is horizontal to…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The vector sum of two displacements 18 m and 13 m is 5 m. The angle between the two displacements is…

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Q: Two vectors are given by d = 7.0f + 2.6 and b = 5.41 +9.7). Find (a) d x b (b) d b d + b) %3D and…

A: Given:a→ = 7.0 i^ +2.6 j^ b→ = 5.4 i^ + 9.7 j^

Q: 60° A = 10.0 30° 30° 53 D= 20.0 37 37. Assuming the +x-axis is horizontal and points to the right,…

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Q: Vector A has a magnitude of 13.0 m at an angle of 22.6. What are the components of the vector?…

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Q: A 5.1, = A = -5 y X B = -2.6, B = 4.3 X y

A: Given  Ax=5.1 , Ay=-5 Bx=-2.6 , By=-4.3 Required magnitude of A+B

Q: •9 Two vectors are given by d = (4.0 m)i – (3.0 m)j + (1.0 m)& 6 = (-1,0 m)i + (1.0 m)j + (4.0 m)k.…

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Q: What is the resultant vector of two vectors where one has a magnitude of 5 cm pointing 60° N of E…

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Q: Three vectors, given as A = 31 – 4j + 5k; B = 4i + 5j – 6k; C= -i+ 2j + 3k. Calculate for: a) A•B?…

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Q: B 20.0° 60.0° The three displacement vectors in the drawing have magnitudes of A = 5.06 m, B = 5.70…

A: according to question we need to find magnitude and direction of resultant vector.

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: The magnitudes of the four displacement vectors shown in the drawing are A =15.0 m, B =11.0 m, C =…

A: Solution: Given that A = 15 m B = 11 m C = 12 m D = 26 m

Q: The magnitudes of the four displacement vectors shown in the drawing are A = 17.0 m, B = 12.0 m, C =…

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Q: Given: u = K-4, -1>, v= , W = , and z = . Based on the components of the given vectors, match the…

A: Given vectors                                     u = -4,-1v = 0,-3w = 1,-1z =4,2 Now we have to…

Q: The figure shows two vectors, A→ and B→, whose magnitudes are AA = 6.7 and BB = 5.1. Determine C→ if…

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Q: Determine the cross product of the following vectors A x B, write the component in the j-direction.…

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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 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: vector A⃗A→ has components AxAx = -6.00 and AyAy = -8.00, then the magnitude of A⃗A→ is 14.014.0…

A: x component of vactor A = Ax = -6 unitsy component of vector A = Ay= -8 units

Q: The three vectors in the figure have magnitudes a= 3.20 m, b 2.70 m, and c 10.3 m and angle 0=…

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Q: +y 20.00 60.0° +x The three displacement vectors in the drawing have magnitudes of A = 5.11 m, B =…

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Q: Three displacement vectors of a croquet ball are shown in the figure, where |A| = 12.0 units, |B| =…

A: Given Data : The magnitude of the vector A→=12 units The magnitude of the vector B→=35 units The…

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 figure shows three displacement vectors A , B , and Č .These vectors are arranged in tail-to-…

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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: Can someone please help me understand this question and how to get the answer? Two displacement…

A: In this question we have to find the magnitude of the sum of the two vectors. Please give positive…

Q: Given the following vectors: A = 80.0 N 25.0° south of east, B = 100. N 82.0° north of east C = 40.0…

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Q: Two vectors are given by  = (5.5 m)i − (4.0 m)j + (1.0 m)k and  = (−1.0 m)i + (1.0 m)j + (5.5 m)k.…

A: Here 2 vectors are given and Arithmetical operations are asked. a = (5.5 m)i − (4.0 m)j + (1.0 m)k b…

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

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Q: C = 12.0 B = 5.0 F= 20.0 60 A A = 10.0 30 B. 30° 53° D= 20.0 37° Assuming the +z-axis is horizontal…

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

Q: Consider the three displacement vectors: Å = (3î – )m B = (i – j)m Č = (2î – j)m Determine the…

A: Given A̅= (3î - ĵ ) m  B̅ = (î -ĵ) m  C̅ = (2î- ĵ) m

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: Given the vectors Ā = (-2î + ĵ) m and B = (4î – j) m: The magnitude of the resultant vector R = 2Ã +…

A: Given data: Vector A is, A→=(-2i^+j^) m. Vector B is, B→=(4i^-j^) m

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: Two vectors are given by a 2.31 + 2.7) and B = 9.07 + 9.8ĵ. Find (a) 7 x B (b) a . b.c)(7 + b ). B.…

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Q: Two vectors are given by A = 4.00 i + 7.00 j and B = 5.00 i - 3.00 j. What is %3D the resultant…

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Q: You are given the following vectors A = 14.0 x- 3.0 y, B=4.0 x + 10.0 y, C = 8.0 x -4.0 y The…

A: Given vectors, A=14.0x-3.0yB=4.0x+10.0yC=8.0x-4.0y

Q: 4. Vectors A and B have magnitudes of 3 units and 4 units, respectively. What is the angle between…

A: The dot product of two vectors is:

Q: What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude…

A: A→=(2.00m)i^+(3.00m)j^ B→= 4.00 m, at 65.0° = 4 ×[ cos65oi^ + sin65oj^]= 1.69i^ + 3.62j^ m…

Scalars and Vectors

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