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. In unit-vector notation, find the following. (a)    a +b  =        m (b)    a −b  =        m (c)    a third vector  c such that a -b +c  = 0  c=       m        m

Q: Find the angle between each of the vector pairs: A) A = -2.00i + 6.00j and B = 2.00i - 3.00j B) A…

A: Given vector pairs   A) A = -2.00i + 6.00j and B = 2.00i - 3.00j B) A = 3.00i + 5.00j and B = 10.00i…

Q: If A = a(3.0i + 4.0j), where a is a constant, determine the value of a that makes A a unit vector.

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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: 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: The vector (3, 45°) is equal to (1.83, 2.83) in rectangular coordinate O (1.83, 1.83) in rectangular…

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Q: Vector  A has a magnitude 5.00 and points in a direction 60.0° clockwise from the negative y axis.…

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Q: Vector V with magnitude | V | forms an angle with the positive x-axis. Give the magnitude of 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 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: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.0°…

A: We will first break the vectors into the component in the perpendicular axes. We split them in the X…

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: If B is added to Č = 2.2i + 7.8j, the result is a vector in the positive direction of the y axis,…

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Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 6.0 m and points…

A: (given) Vectors are A→, B→ and C→. A→=8 i^B→=6 j^C→=-5 j^ Vector isV→ =A→+B→ +C→    =8 i^+6 j^-5 i^…

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: 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: 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: The vector B>has components Bx = -2.10 m and By = -1.70 m. Find the direction angle,u, for this…

A: Let the magnitude of that vector be B0. And as the both components are negative , so clearly the…

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: (In questions and answers, the letters i, j and k represent the unit vectors along the directions x,…

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Q: Vector  = 6.0 m and points 30° north of east. Vector  = 6.0 m and points 30° east of north. The…

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Q: What would be the the  x component of the resultant vector if I add two vectors one with a magnitude…

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Q: • For the two vectors A and B in Fig. E1.370, find (a) the scalar product A B; (b) the magnitude and…

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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: When vector is added to vector B, which has a magnitude of 5.0, the vector representing their sum is…

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Q: What's the resultant displacement vector C=A+B as a magnitude and direction? Given 2 vectors:…

A: Given: The vectors, A = 4.00i + 7.00j B = 5.00i - 3.00j

Q: Consider vectors A = 9.00 [m], 60.0 • North of East, and B = 300. [cm], 30.0 • West of North. What…

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Q: Vector A has a magnitude of 6.0 m and points 30° east of south. Vector B has a magnitude of 4.0 m…

A: Draw the given vectors: From the above diagram we can say that the angle between the vector A…

Q: Let θ be the angle that the vector A vec. makes with the +xaxis,measured counterclockwise from that…

A: There are two physical quantities in nature- scalar and vector. Scalar quantities are those which…

Q: The magnitude of vector A is 5.5. Vector A lies in the second quadrant and forms an angle of 34…

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Q: Find the resultant vectors. 1. A 10 M, NORTH = B = 20 M, NORTH 2. C= 15 M, WEST D = 20 M, WEST 3.…

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Q: Vector A has a magnitude of 9.0 and Vector B has a magnitude of 3.0. If the vectors are at an angle…

A: Given data: Magnitude of vector A A = 9.0 Magnitude of vector B B = 3.0 Angle between vectors (θ) =…

Q: Show that the force vectorD ⃗ = (2.0i ^ − 4.0j ^ +k ^ )N is orthogonal to the force vector G ⃗ =…

A: Given The force vector D ⃗ = (2 î − 4 ĵ +1 k̂) N. The force vector G ⃗ = (3 î + 4 ĵ +10 k̂) N. If…

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

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Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.00…

A: The vector sum of the components gives the resultant vector. it can be written as a →+b→ = R→

Q: What is the result of the combination of the component vectors, 92 km/h East and 79 km/h East? a…

A: 3.  v1 = 92 km/h east v2 = 79 km/h east

Q: A vector in the x-y plane has a magnitude of 30 units with an x component of magnitude 15 units. The…

A: Given :  Magnitude of the vector in x-y plane,  A = 30 units Magnitude of x component of the vector,…

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: Find the sum of the following four vectors (a) and (b) for x and y components respectively), and a…

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Q: The three vectors given are ā = 5.0 î+4.0 j-6.0 k b =-2.0 i+2.0 j+3.0 k č = 4.0 î+3.0 j+2.0 k The…

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

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

Q: A vector is given by: i = (-2.11) + ( -4.28) ĵ+ ( 2.8 ) k. Determine the component of the unit…

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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: What is the unit-vector notation for each of the following vectors, all with magnitudes of 50.0? (a)…

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Q: For the vectors and shown, find the magnitude and direction of (a) the vector sum + (b) the vector…

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Q: If a vector →A→ has the following components, use trigonometry to find its magnitude and the…

A: Introduction: Vector is the quantity which depends on direction as well as magnitude. Whereas,…

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

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Q: Given Five vectors whose lengths and dirction – senses are as follows: Aa is 1.5 inch long and 90…

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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.