Consider the vectors A = -2î + 5j – and B = 5î - 6j + 7k. Calculate the following quantities. (Give your answers in degrees.) (a) cos-1 A · B AB (b) sin-1 |A x BỊ AB (c) Which give(s) the angle between the vectors? (Select all that apply.) The answer to Part (a). The answer to Part (b).

Q: Two vectors are given by a = 2.07 + 5.0j and b = 3.0i + 9.0j. Find (a) a x b", (b) a. b", (c) (a* +…

A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)

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

A: Answer

Q: Answers: a) -3 b) 39 i +15 j +18k c) 4. What are the x and y components of the vector a, which lies…

A: The magnitude of the vector a, a=7.3 m The angle of vector with the positive x axis, θ=250° The…

Q: The components of vector A are: Ax=5.6 Ay= -4.7 What is the angle between vector A and positive…

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Q: Given two vectors A = 9.97 i + 1.92 j- 1.56 k, B = 0.05 i - 7.08 j+ 4.89 k, find the %3D magnitude…

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Q: Consider the array of vectors in the figure below. +y +x K H 1. À + B + Č + D + Ē + F + Ĝ +Ĥ = Ï? A.…

A: Here, based on the array of vectors, shown in the figure, we have to answer (1) to (7). Let's see…

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…

Q: Vector V with magnitude | V | forms an angle with the positive x-axis. Give the magnitude of the…

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Q: What is the angle between vector A= -3i +4j and the positive x-axis?

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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: Find the angle between each of the following pairs of vectors (1) A = 3.00i + 5.00j (2) A = -4.00i +…

A: 1) A→ = 3i^ + 5j^B→ = 10i^ + 6j^

Q: Two vectors A and B have magnitude A=3.00 and B=3.00. Their vector product is AxB= -5.00k + 2.00i.…

A: Given data: Magnitude of A =3.00 Magnitude of B = 3.00 Vector product A×B=-5.00k+2.00i To determine:…

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: The scalar product of vectors A→ and B→ is +51.0 m2m2 . Vector A→ has magnitude 8.00 mm and…

A: Given: A.B=51 A=8.00 mm The angle θ=28° west of south. If B vector has direction 39.0° To determine…

Q: Find the angle between the following pair of vector: A= 3.00i + 5.00j and B= 10.00i + 6.00j

A: Given, A=3.00i+5.00jB=10.00i+6.00j

Q: 2 • Find the angle between each of the following pairs of vectors: (a) Ả = -2.00î + 6.00ĵ and B =…

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Q: two points are given in polar coordinates by  (r, ?) = (2.20 m, 50.0°)  and  (r, ?) = (3.00 m,…

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Q: Given 2 vectors A = 5i-3j and B = -2i+4j find the angle above the x-axis of A+B and lA+Bl note j and…

A: First we find the addition of given vector and after that we find its magnitude

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: The components of vectors   and   are given as follows: Ax = -2.5   Bx = -5.0 Ay = 7.1   By = 4.0…

A: Consider A→ and B→ two vectors, the general form of writing these vectors are:   A→=Ax i+Ay jB→=Bx…

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: For the vectors A and D in Fig. El.28, (a) find the magni- tude and direction of the vector product…

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Q: Two points in the xy plane have Cartesian coordinates (2.00, –4.00) m and (-3.00, 3.00) m. Determine…

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Q: 3i + 7j – 4k and (a) cos[A•B/AB] and (b) sin¯|A x B|/AB]. (c) Which 4. Two vectors are given by A =…

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

A: Given that Vector T = +2x + 6y - 4z Vector D = 2x - 3y - 4z

Q: Section 1.9 Unit Vectors 1.34 In each case, find the x- and y-components of vector A: (a) A = 5.01…

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Q: You are given two vectors A = -3.00i +7.00j and B= 8.00i + 2.00j. Let counterclockwise angles be…

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Q: The components of vectors   and   are given as follows: Ax = 7.6   Bx = -5.1 Ay = -9.2   By = -6.8…

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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: 1.45 • Find the angle between each of these pairs of vectors: (a) Ả = -2.00î + 6.00oĵ and B = 2.00î…

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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: 1. Given the following vectors: 5 = -1.00 i - 3.00 j + 4.00 k A = 3.00 i + 4.00 } %3D a. (5 points)…

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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: 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…

Q: Vector A = 7.4 i + 3.2 j.  Vector B = 3.7 i - 7.1 j. Calculate the angle between the two vectors in…

A: Given data The vector A is given as A = 7.4 i + 3.2 j The vector B is given as B = 3.7 i – 7.1 j.…

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: Given the 3-dimensional vectors : A = i (xy) + j (2yz) + k (3zx) B = i (yz) + j (2zx) + k (3xy).…

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Q: Let 0 be the angle that the vector A makes with the +x-axis, measured counter-clockwise from that…

A: We are allowed to give the explanation of first three subparts of a question only which is given…

Q: Vectors Aand Bhave equal magnitudes of 5.00. If the sum of Aand Bis the vector 6.00j, determine the…

A: Given Information: The magnitude of the vector A and B is “5.00” Given that the resultant vector of…

Q: Consider a Vector A =2î – 2 + 6k and another vector B=13î + 73 – 4.5k. Both of them has unit of…

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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: Two vectors vector A and vector B have precisely equal magnitudes. In order for the magnitude of…

A: Magnitude of A + B is 110 times the magnitude of A – B. Therefore,

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

A: Given data- Horizontal component=23.6 N vertical component=34.8 N

Q: For the vectors a→=(3.0⁢m)î+(4.0⁢m)ĵ and b→=(5.0⁢m)î+(-2.0⁢m)ĵ, give a→+b→ in (a) unit-vector…

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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…

Scalars and Vectors

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