A displacement vector points in a direction of θ = 23° left of the positive y-axis. The magnitude of this vector is D = 155 m. Refer to the figure. Enter an expression for the x-component vector, Dx, in terms of D, θ, and the unit vectors i and j.

Q: Consider the following three displacement vectors: Vector À has a magnitude of 3.60 km and a…

A: A→ = 3.60 km @30o south of west B→ = 7.30 km @15o north of westC→ = 3.10 km @54o north of east

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

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Q: You have two vectors. One has a magnitude of 3.9 cm and an angle of 57.4 degrees while the other has…

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Q: A 22.0 m long aluminum cable with a cross-sectional area of 2.04 x 10-3 m2 is used to suspend a 4.00…

A: Using the help of Young's modulus we will solve the given question. Given(s): Length of the cable,…

Q: A boat radioed a distress call to a Coast Guard station. At the time of the call, a vector A from…

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

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Q: A displacement vector points in a direction of 31 degrees left of the positive y-axis. The magnitude…

A: Given,          A displacement vector points in a direction of 31 degrees left of the positive…

Q: 5. Consider two vectors: A which has a magnitude of 28.0 m and points in a direction 15.0° above the…

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Q: Find the angles that vector  D = (2.2î − 4.5ĵ + 1.3) m makes with the +x-, +y-, and +z-axes. (Enter…

A: Introduction: The unit vector along +x-axis is i^, unit vector along the +y-axis is j^, and unit…

Q: The force F has a magnitude of 650 N. Express F as a vector in terms of the unit vectors i and j.…

A: Given,F=650Nθ=21°

Q: The figure shows three vectors. Vector ?⃗ A→ has a length of 31.031.0, vector ?⃗ B→ has a length of…

A: Given value--- Vector A has a length of 31, vector B has a length of 67.0 vector C has a length of…

Q: You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that…

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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: /8 nponent of the vector A - B. /8 itude of the vector A + B.

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

Q: y (m) Problem 2: (2 points) Vectors à and C are shown in the figure. Vector Ở is given by ở = Ā – B.…

A: given that C→=A→-B→ we can also rearrange it as :- B→=A→-C→ angle between A and C θ=30+52=820…

Q: The x- and y-components of a vector are: vx = 2.0 m/s, vy = -6.0 m/s.  Find the magnitude of the…

A: Given: horizontal x component of velocity vx=2.0 m/s. vertical y component of velocity vy=-6.0 m/s.

Q: Vector A⃗  points in the negative y direction and has a magnitude of 5 units. Vector B⃗  has twice…

A: The expression for the vector representation of (A+B):

Q: Vectors à and B are shown in the figure. Vector C is given by C = à – B. The magnitude of vector A…

A:

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: Three force vectors, F1, F2 and F3, have magnitudes of 8N, 12 N and 15 N respectively. The angles…

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Q: Consider the three displacement vectors shown in the figure: Vector A has a magnitude of 8.40 km and…

A: magnitude of A = 8.4 km magnitude of B = 6.4 km magnitude of C = 3.5 km

Q: The vector A has a magnitude of 5.0 and a direction of 14°, while B has a magnitude of 4.0 and a…

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Q: A force vector points 55° above the positive x-axis. It has a y-component of 300 newtons. Find: a.…

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Q: Consider two vectors are in the x-y plane. Vector a has a magnitude of 5.0 N and is directed along…

A: In general, a vector is defined as follows. A→=Axi^+Ayj^ Let us calculate the x  and ycomponents of…

Q: The problem below refers to a vector V with magnitude |V| that forms an angle ? with the positive…

A: Magnitude of a vector  is Angle made by given vector with +x-axis is Find:Horizontal and vertical…

Q: Vector O is the resultant of vector M = -3.7i + -9.2j + -1.7k and an unknown vector N. Vector O is a…

A: Given M̅ =-3.7î + -9.2 ĵ +-1.7k̂

Q: A small plane flies a distance d1 = 46 km in a direction θ1 = 62o north of east and then flies d2 =…

A: Depict the path followed by the small plane using the given co-ordinates,

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: vectors shown in the figure, determine Part A the magnitude of B⃗ −3A⃗  Express your answer using…

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

Q: Determine the angles made by the vector V = -60i + 44j with the positive x- and y-axes. Write the…

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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: Vector Á has a magnitude of 12.7 and its direction is 200° counter-clockwise from the +x-axis. What…

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Q: A small plane flies a distance d1 = 32 km in a direction θ1 = 64o north of east and then flies d2 =…

A: Given: Distance d1 =32 km Distance d2 =23 km Angles = 64 degrees and 18 degrees

Scalars and Vectors

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