Given: u = K-4, -1>, v= <0, -3>, W = <1, -1>, and z = <4, 2>. Based on the components of the given vectors, match the magnitude of each vector subtraction with its resulting value. 1.83 8.54 2.24 3.61 7.54

Q: B 17.4 8. Two vectors are presented by the diagram. What is the direction and magnitude of the cross…

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Q: Vector R is definedas the vector sum of vectors A andD(?⃗= ?+ ?⃗⃗)shownbelow. What are the vector…

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Q: What is the angle between vector Å = 5i + 2j + 9k with z-axis? 80° 45.80 30.9° 61.5°

A: angel between A→ = 5i^ + 2j^ + 9K^ and z - axis. The formula to find the angle between vector and…

Q: Vector u = &lt;-7,3,-5&gt; and vector v = &lt;-1,1,0&gt;. Find v X u.

A: The objective of the question is to find the cross product of two vectors v and u. The cross product…

Q: 62) Compute the dot products between the following vectors. The dashed line denotes the positive z…

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Q: Find the following quantities for A⃗ and B⃗ A⃗ = −12mˆi + 4.0mˆj + 1.5mˆk B⃗ = 2.8Nˆi − 21Nˆk (a) A⃗…

A: Given, A = −12mˆi + 4.0mˆj + 1.5mˆk B = 2.8Nˆi − 21Nˆk

Q: A point in the xy plane have Cartesian coordinates (3.00, 5.00)m. Calculate the magnitude of the…

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Q: What direction does the vector b = -5.00i + 5.003 N point in?

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Q: 6. You are given two vectors A = -3.00î + 6.00ĵ and B = 7.00î +2.00ĵ. (a) What angle does A makes…

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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: I. Draw a simple triangle that shows the two vectors connected. And find the resultant vector,…

A: Given: F1=15 cm, NorthF2= 9 cm, East Hence the diagram is shown below:

Q: me maghitude of vector A is 8.6. Vector lies in the fourth quadrant and forms an angle of 37 with…

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Q: Given two vectors A = - 2.00 + 3.00ĵ + 4.00 k and B = 3.00 î+ 1.00 – 3.00 k, (a) find the magnitude…

A: We have to calculate the magnitude of each vector. Given Data, A→=-2.0 i^+3.0 j^+4.0 k^B→=3.0 i^+1.0…

Q: 2. Find the dot product of two vectors A=4i+3j and B =5/-2j.

A: Given,A=4i+3jB=5i-2j

Q: Problem 3: Find unit vector of a force. Find the unit vector corresponding to a 100 N force at 60°…

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Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

A: a)Resolve vector A into respective x and y components as,

Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: 1. (4,1) r, 0 = ? +x → 2. (-2, 2) r, 0 = ? ++ 2. (2,0) r, 0 = ? +x →→>> +x→>>

A: The magnitude is the distance of the point from the origin.The angle with positive x-axis is…

Q: Two vectors are given by (A= 3i+A, j) and (B= 2i+4j). if the angle between them is 90° , then the…

A: Here the given angle is 90°

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: B. Solve for the Resultant vector ( magnitude and direction). Please draw the vectors. 1. 20 N, east…

A: Given :    1) 20 N east and 50 N west    2) 100 N north, 100 N south and 80 N west    3) 50 N at 30°…

Q: You have two vectors, A and B. Find the vector sum of 2.1. 1 of 2.1 A +-3.5 B. A-3.62+3.93…

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Q: Given two vectors, Land D where L=275ⅈ-64j and D=161.7ⅈ+44j what is the resultant, R, of these two…

A: Resultant of a vector is given by, R=L2+D2 Substitute the given values in above equation,…

Q: Considering the usual unit vectors: i j and k Find the dot product given by C=A'B, for the following…

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

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Q: Find the sum of vectors ? (2, −3, 1) and ?(1, 5, −3) a.   −?? + 8?? − 4?? b.   ?? − 8?? + 4?? c.…

A: Answer:-  Given  Vector A =  (2 , - 3 ,1) = (2i - 3j + 1k)  Vector B = (1 , 5 , -3) = (1i + 5j - 3k)…

Q: The angles γ1 (with the X-Axis.),γ2 (with the Y- Axis ) and γ3 (with Z- Axis) that the vector v̄ of…

A: Given  magnitude of vector (v)=50  angle with x-axis=750 angle with y-axis=600 angle with z…

Q: If a vector W has components W=-3.0 and Wy=4.0, what is the magnitude of the vector? Make sure your…

A: the vector W has the horizontal and vertical components which can be given as  Wx=3.0 Wy=4.0…

Q: Given vector A =   and vector B = , what is A dot B?

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Q: Vector A = 5.1 i + 4.9 j. Vector B = 6.9 i + 3.7 j. The dot product of the two is C = A ∙ B (i.e. A…

A: Given that:  A = 5.1 i + 4.9 j B = 6.9 i + 3.7 j To determine: C = A ∙ B

Q: 7. Given two vectors A= -3.00i + 13.00j + 7.00k and B= 1.00i-10.00j- 6.00k, (a) find the magnitude…

A: The required solution is following

Q: Given vector A =   and vector B = , what is A dot B?

A: Given            A = &lt;10, 20, 18&gt;          B = &lt;16, -17, -24&gt;

Q: 82. Find the scalar components of three-dimensional vectors Gand H in the following figure and write…

A: Three dimension vector in terms of spherical polar co-ordinates…

Q: Product, rectangular coordinates: If A = 5 i + -8 j and B = 12 i + 18 j,

A: Given:- A = 5i + -8 J  B = 12 i +18 j  Find;- The Dot product  A.B

Q: 4. Nadia walks 4.0 km in one direction and 2.0 km in another direction. However, she ends up only…

A: Given that,s1=4 kms2=2 kms=3 kmangle, θ=?

Q: Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB|…

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Scalars and Vectors

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