Vectors A and B have magnitudes of 3 units and 4 units, respectively. What is the angle between the directions of A and B if A B equals 12 units? 0° 30 60 90 180

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: Vector s has components sx = 15.0 and sy = 9.0. What is the approximate magnitude of %D vector s ?…

A: Write the given values with suitable variables. sx=15sy=9 Here, sx denotes the x-component of the…

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: Vector A has magnitude of 8 m and vector B has magnitude of 7.8 m. If the angle between the two…

A: Given data, Magnitude of vector A = 8 m Magnitude of vector B = 7.8 m Angle between vector A and B =…

Q: Given the following four force vectors in terms of their magnitude and directions, find the…

A: Given,  Four vectors in terms of their magnitude and direction. F1 = 534.7 N @ 135.4°F2 = 987.6 N @…

Q: Given two vectors A = -11.3 i + 4.71 j, B = 2.38 i - 12.97 j, find the angle (in degrees) that the…

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Q: Vector Å has a magnitude 5.00 and points in a direction 40.0° clockwise from the negative y axis.…

A: Given information: Here A is the magnitude of the vector A and θ is the angle made by the vector A…

Q: Vectors M and N obey the equation M + N = 0. These vectors satisfy which one of the following…

A: When the sum of the two vector is zero. Then this indicate that the direction of both the vector is…

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: Calculate the magnitude of vector B if it has x, y, and z components of 4, 6, and 3 unit…

A: The Universe as we conscious it is three-dimensional. All the vectors denoting physical amount have…

Q: Consider the following 2 vectors: A =3.42 î–6.44ĵ B =2.33 î+4.26} What is the magnitude of Á × B.

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Q: Given the vectors Ā = 2 î + 3 j and B = 3 î - 7 j, find: (a) The sum of the two vectors C = Ā +B,…

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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: Vector A has a magnitude of 8.0 m, South and vector D has a magnitude of 10.0 m, 53° W of N. Find…

A: Given: The magnitude of vector A  is 8 m in the south direction. The magnitude of vector D is 10 m…

Q: Determine the direction with respect to the positive x axis of the vector resulting from the sum of…

A: Given;- the three vectors are. A = 3.00i + 4.00j B = 2.00i - 6.00j   C = -8.00i + 8.00j Find. The…

Q: Given the vectors A=(3,2) and B=(5,5), find: a) The components of vector C=A+B b) The magnitude…

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Q: 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)…

A: (a) 15.0665 m       (15.00) i + (-1.00) j + (-1.00) k (b) 23.345 m        (6) i + (-5) j + (22) k

Q: You are adding two vectors, one has a magnitude of 25 and the other has a magnitude of 10. Which of…

A: Given: Magnitude of a→=25. Magnitude of b→=25.   To find: The resultant vector.

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

A: Given : A→ = 42 i^ + 42 j^            B→ = - 8 i^

Q: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…

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Q: 2. A vector d has a magnitude 2.5 m and points north. What are the magnitudes and directions of the…

A: Hi, as this problem contains multiple sub-parts, hence the first three sub-parts will be solved for…

Q: 2 vectors A & B have magnitudes 3.5 and 5.6 units and are perpendicular to each other. Which of the…

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Q: What is the angle between vector A= -3i +4j and the positive x-axis? 63.4 60 53 117 127 Shakir A…

A: GIVEN THAT  A= -3i + 4 j angle between vector A and   X - axis tanθ = y/x

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: Calculate the magnitude of vector B if it has x, y, and z components of 4, 6, and 3 units,…

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Q: Two vectors are given by d = (5.0 m)i - (6.0 m)ĵ + (1.0 m)k %3D and b = (-1.0 m)î + (1.0 m) ĵ + (2.5…

A: Given,a→ = 5.0 m i^ - 6.0 m j^ + 1.0 m k^b→ = -1.0 m i^ + 1.0 m j^ + 2.5 m k^

Q: For the vectors V1 = 10 units and V2 = 7.5 %3D units shown in the figure, V1 45° 30 V2

A: V1= 10 units  V2= 7.5 units

Q: 9.7i + 4.6) and = 9.21 + 9.5). Find (a) a x B (10) .0( + B). Two vectors are given by d and (d) the…

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Q: Two vectors A and B have precisely equal magnitudes. For the magnitude of Á + B to be 100 times…

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Q: The angle made by the vector A-i+j with x- axis is (a) 90° (b) 45° (c) 22.5° (d) 30°

A: Given vector A→=i^+J^

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

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Q: Vector C has a magnitude of 24.6 m and points in the -y- direction. Vectors A and B both have…

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Q: Determine the magnitude of the vector V and the angle e which vector V makes with positive x-axis?…

A: Calculate the angle of V1. θ1=tan-134=36.87 Write the expression for the unit vector notation of…

Q: Let be the angle that the vector A makes with the +-axis, measured counterclockwise from that axis.…

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Q: Suppose two vectors A and B of magnitude 3 and 4 units are placed tail to tail with an angle of 60 °…

A: Given data: The magnitude of vector A is A=3. The magnitude of vector B is B=4. The angle between…

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: Two vectors, A and B,have magnitudes of 4.65 units and 9.36 units, respectively. The angle between A…

A: The scalar product between two vectors is given by,

Q: Vector C has a magnitude of 22.2 m and points in the –y- direction. Vectors A and B both have…

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

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Q: What is the magnitude of a vector that makes an angle of 42° to the horizontal and whose y…

A: Given  Angle made by vector from horizontal  @ = 42°  Y component of vector Ay = 5 units  To find…

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: Consider the following 2 vectors: A –3.29 ; +5.49; B =1.64 ;+4.09; What is A. B? Please express your…

A: Given data:  A→ = 3.29i^ + 5.49j^B→ = 1.64i^ + 4.09j^ Required: The dot product of vector A and…

Q: Vector A points to the north and has length A. Vector B points to the east and has length of B=2.5A.…

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