Consider the following vectors: A = 5.2j;  B = -4.1i + 2.5j.  Draw a diagram showing the addition of vectors A and B. (a) Find A + B in the Cartesian (x and y component) form. (b) Find the magnitude of A + B. (c) Find the direction of A + B, expressed as a polar angle.

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: On what quadrant is the vector -3i - 15j located? On what quadrant is the vector 3i + 15j located?…

A: Answer

Q: Two vectors , and F, lie in the xy-plane as shown in the figure below. If F, = 30 units, and F2 = 20…

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Q: Consider the vectors A and B in component form attached below. What is the angle (in degrees)…

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Q: The two vectors á and b in the figure have equal magnitudes of 14.6 m and the angles are e, = 30°…

A: θb=180°-θ1+θ2=180°-30°+106°=44°

Q: 15m, 45 degrees + 5m, 315 degrees + 10m, 240 degrees

A: A vector can be written as A̅ =Ax î +Ay ĵ

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Q: Determine the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i +…

A: Basically when we make dot product of two vectors then we get the angle between the vectors. Here…

Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

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Q: For the vectors á (3.0 m )î + (4.0 m )j and B = (5.0 m )i + ( – 2.0 m 3, give d + b in (a) unit-…

A: a) a+b = (3i+4j)+(5i-2j) a+b= 8i-2j Magnitude of (a+b) = √(8²+2²) = √68 So unit vector =…

Q: Given the two vectors A= 20.0 @ 30.0° and B= 17.0 @ 60.0°., What is A+ B in unit vector notation?

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Q: Given two vectors A= 7i + 4j − 2k, and B= 3i − 10j + 3k, calculate the angle between them, where i,…

A: Given Data:- Two vectors are A→=7i^+4j^-2k^ B→=3i^-10j^+3k^ Required:- We need to calculate the…

Q: In the diagram, the dashed lines are parallel to the x axis. The magnitudes of the vectors are A =…

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

A: To find:) magnitude and direction angle of vector A

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: Calculate the magnitude and direction of the resultant of the two vectors a) 50 km E and b) 70 km…

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Q: Find the x− and y− components of the vectors A~, B~ , C~ , and D~ . Take A = 10.0, B = 7.00, C =…

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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: Consider the two vectors, A=17x+11.5y, B=4.5x-3.5y. What is the angle of the vector A-B, measured…

A: Vector A-B can be found out using A-B = (17-4.5)x +(11.5-(-3.5))y  A-B = (12.5)x+(15)y

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: Find the angle between the following pairs of vectors: A= -2.00i + 6.00j and B= 2.00i - 3.00j

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Q: Given two vectors A = 6i + 9j – 7k and B = –123 – 5k, the magnitude of the vector sum is:

A: Given data:  Two vectors  A = 6i + 9j - 7k B = -12j - 5k Required: The magnitude of the vector sum

Q: 4 A -2 4 -2 Consider the two vectors, A and B, in the figure. The x and y components of both vectors…

A: Addition of two vectors A→=axi^+ayj^+azk^ and B→=bxi^+byj^+bzk^ is given by-…

Q: Consider the following two vectors:U = 1.3i + 2.2j + 4.1k V = -5.5i - 6.5j + 11.3k What is the…

A: Given: U = 1.3i + 2.2j + 4.1k   V = -5.5i - 6.5j + 11.3k

Q: The horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What the…

A: Given value--- horizontal component = 23.6 N. vertical component = 34.8 N. We have to find---…

Q: Two vectors, A  and B  have their tails at the origin and are described by parameters (r,θ), where r…

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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: 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: 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: A sailboat race course consists of four legs, defined by the displacement vectors A B C and D, as…

A: Given:-  Three displacement vectors have a magnitude as  A=2.70 km B = 5.30 km  and C = 4.40 km…

Q: Find the angle between the vectors A = and B = . (a) 50.0 (b) 178 (c) 120 (d) 98.0

A: Vector A  = -4i -2j Vector B = 3i + 1j

Q: Determine the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.…

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Q: Graph and identify the resultant vectors and measures of an angle. 1. G= 15 M, EAST H = 12 M, NORTH…

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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: Given these two vectors: à = (5.0 m)ï' – (4. 0 m)j° and b = (7.0 m)ï + (9.0 m)ƒ What are (a) the…

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

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Q: Consider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B?…

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Q: (6.00 m )î – (4.50 m )ĵ and B (9.00 Jî + (12.0 m )j. What are (a) the magnitude and Here are two…

A: magnitude of a vector =(Ax 2 +Ay 2  )1/2

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: For the vectors in the figure, with a = 12, b = 9.0, and c = 15 what are (a) the magnitude and (b)…

A: "As per the guidelines i solved the first three subpart". (a) The magnitude of the vector a→×b→ is,…

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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A: ""Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (8c3p28) Given two vectors a = 3.5i -3.8j and b =6.8i+8.4j what is the magnitude (in m) of the…

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Q: Consider three vectors A,B and C all lying in the æ y plane. Vector A has length 6.2 and makes an…

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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: Consider the two vectors, A = 14x + 16y B = 3.3x-3.5y Part (a) What is the magnitude of the vector A…

A: As per the answering guidelines we will solve first three Parts. Please upload rest of the parts…

Scalars and Vectors

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