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: Each of the displacement vectors A and B shown in the figure below has a magnitude of 7.0 m.  A.…

A: The physical quantities present in the world are broadly classified into 2 types. They are scalars…

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: Analyze the following vector system and calculate the magnitude and direction of the resulting…

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Q: Two vectors, T and s lie in the xy plane. Their magnitudes are 4.85 and 4.39 units, respectively,…

A: Given data: The magnitdue of vector r = 4.85. The magnitdue of vector s = 4.39. Direction of r is…

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: 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: 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: F = 5 units, SW N. Draw the following vectors from the origin of a single x-y plane. A = 4 units,…

A: A vector can be drawn by arrows by taking length of arrow as magnitude and direction by angle.

Q: ectors A and B are shown in Figure 3. The magnitudes of the two vectors are shown in arenthesis. a.…

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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: 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: Vector C has a magnitude of 23.4 m and points in the −y‑direction. Vectors A and B both have…

A: Given value--- C = 23.4 m. alpha = 42.9 degree.  beta = 28.7 degree. We have to find--- magnitude…

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: 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 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: 2i+j+3k represents a vector. a)Determine the magnitudes of the x, y, and z components, b) R's…

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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: Jerome has been given the following 3 vectors; A, B, & All the vectors are in the x-y plane. The…

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Q: 6. u = 4i – j+3k v = 2i + j+k w = -i+5j+3k r = ai + ßj+ yk Evaluate the scalar products u.v and v.w.…

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Q: es A vector M and has a magnitude of 7 units, and N has a magnitude of 5 units, and the cross…

A: In this case, there are two vectors whose magnitude is given. The cross product of the two vectors…

Q: A displacement vector points in a direction of 0 = 15° left of the positive y-axis. The magnitude of…

A: Given that:- Magnitude of displacement vector=130m

Q: 109 B 0 x i

A: Given: Displacement vectors A has magnitude of 3.7 m, making 22 degrees with horizontal.…

Q: e force F has a magnitude of 740 N. Express F as a vector in terms of the unit vectors i and j.…

A: The magnitude of the force is defined as the sum of all the forces acting on an object. Force…

Q: A given line is described by the equation: y = x-l. Vector A starts at point P1 = (0,3) and ends at…

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Q: Consider the following two vectors: Ủ = (1.4) î + (2.1) Ĵ + (4.1) k v = (-6.5) + (-7.9)ĵ+ (13) k

A: Given, U→=1.4i^+2.1j^+4.1k^ V→=-6.5i^-7.9j^+13k^ From dot product of two vectors we get,…

Q: A displacement vector points in a direction of θ = 25° left of the positive y-axis. The magnitude of…

A: Dx=Dcosθ=135 mcos90°+25°=-57 mi^

Q: The three displacement vectors in the drawing have magnitudes of A = 5.97 m, B = 6.04 m, and C =…

A: Magnitude of  is  and it makes an angle  with -x-axis in clockwise direction.Magnitude of  is  and…

Q: to scale in the figure below. The vector Ais 5.3 meters long and points 56 degrees counterclockwise…

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Q: Two vectors A and B are shown in the figure. Vector A has a magnitude of rA = 24.5 and an angle of…

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Q: a displacement vector points in a direction of θ= 33 degrees left of the positive y axis . the…

A: Magnitude of vector = 180 m θ = 33 degree left of positive y axis , which means 33 degree west of…

Q: A force vector F, points due east and has a magnitude of 170 newtons. A second force F2 is added to…

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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.