A room has dimensions 3.00 m (height) 3.70 m 4.30 m. A fly starting at one corner flies around, ending up at the diagonally opposite corner. (a) What is the magnitude of its displacement? (b) Could the length of its path be less than this magnitude? (c) Greater? (d) Equal? (e) Choose a suitable coordinate system and express the components of the displacement vector in that system in unit-vector notation. (f) If the fly walks, what is the length of the shortest path? (Hint: This can be answered without calculus.The room is like a box. Unfold its walls to flatten them into a plane.)

Q: The figure shows two displacement vectors A and B. Vector A points at an angle of 24.0° above the x…

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Q: Given the displacement vectors A = (7.00 î – 2.00 ĵ + 7.00 k) m and B = (8.00 î + 1.00 ĵ – 8.00 k)…

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Q: The magnitudes of two vectors A and B are A = 12 units and B = 8 units. Which pair of numbers…

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Q: Vector A has a magnitude of 2.00 m and vector B has a magnitude of 5.00 m. If the direction of each…

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Q: The components of a vector B>satisfy Bx 7 0 and By 6 0.Is the direction angle of B>between 0°…

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Q: Vectors A→A→ and B→B→ both have a magnitude of 8. If their resultant has a magnitude of 10, what is…

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Q: To get from one office to another in a company, a man travels as follows: A = 15m due West B = 25 m,…

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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: If a vector  has components Ax = -4 and Ay = -3, then  lies in the ______________. a. 2nd quadrant…

A: We need to tell where this given vector lies (which quadrant).

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

A: To find:) magnitude and direction angle of vector A

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: Vector A is 9 m, 60.0o North of East and Vector B is 3 m 30.0o West of North. What is the resultant…

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Q: 2. A runaway dog walks 0.64 m due north. He then runs due west to a hot dog stand. If the magnitude…

A: Given that Displacement towards north OA = 0.64 m Net displacement OB = 0.91 m

Q: A displacement vector is 21 km in length and is directed 60 degrees S of E. Which of the following…

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Q: A position vector that belongs to the xy plane is described by the components (x, y) - (-3.00 m,…

A: Cartesian coordinates(X,Y) in polar coordinates are given by X=rcos(theta) Y=r sin(theta) Where r is…

Q: A and B vectors S. may be defined to be equal if they have the same magnitude and point in the…

A: TWO VECTORS WILL BE EQUAL IF  1-There magnitude are equal, same length 2- there plane and direction…

Q: Find the resultant vector using: Vector A= 20 km, 30° N of E Vector B= 15 km. 20° W of S Vector C=…

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

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Q: Let 0 be the angle that a vector to make with the x - axis and measured counter clockwise from that…

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Q: under what circumstances would a vector have components that are equal in magnitude?

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Q: For the three vectors shown in the figure, the vector sum D=A + B + C has components Dx = 3 and Dy =…

A: Given data: -  The x component of the vector D is Dx = 3. The y component of the vector D is Dy =…

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

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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: The route followed by a hiker consists of three displacement vectors A→ , B→ , and C→ . Vector A→ is…

A: Let B and C be the vector  And A = 1550 m  in magnitude  In vector form , the three vector is…

Q: You are adding two vectors, one has a magnitude of 25 and the other has a magnitude of 10. Which of…

A: Given: Magnitude of a→=25. Magnitude of b→=25.   To find: The resultant vector.

Q: PLEASE HELP

A: a)Displacement vector joins an object’s final position with its initial position and is directed…

Q: Given vectors a=(4,8) and b=(-3,0) Find the magnitude of the resultant vector: T = 2 a + 36

A: Represent the vectors a and b in their resolved component.

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

A: The vectors can be resolved along x and y axis. For vector A, it is shown below:

Q: A vector ?⃗ = (−1.2 m)?̂+ (1.8 m)?̂. Find the magnitude and angle (between 0° and 360°, measured…

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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: Vector C has a magnitude of 24.6 m and points in the -y-direction. Vectors A and B both have…

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

A: 1. Given : |A| = 3 units |B| = 4 units  A.B = 12

Q: If a force vector has a magnitude of 3.28 Newtons and points 79.1 degrees south of East, then what…

A: Given the magnitude of force, F = 3.28 N It points 79.1 degrees in south of east [SE] direction Its…

Q: A sailboat race course consists of four legs, defined by the displacement vectors A B C and D, as…

A: Given:-  Three displacement vectors have a magnitude as  A=2.70 km B = 5.30 km  and C = 4.40 km…

Q: Consider the three displacement vectors A (-4î - 3j) m, B (3î - 3j) m, and C (-8î + 5j) m. Use the…

A: Write the given values with suitable variables. A→=-4i^-3j^ mB→=3i^-3j^ mC→=-8i^+5j^ m

Q: A figure skater glides along a circular path of radius 3.84 m. (a) If she coasts around one half of…

A: a) The magnitude of the displacement of vector is equal to the diameter of the circle. The…

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: If a vector v has a magnitude 10.0 and makes an angle of 30° with the positive y-axis, find the…

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Q: What are the components of the following Vector?  D = 30.0 km @ 70.0 degrees below +x-axis

A: Given: The vector has magnitude D = 30 km. Angle with +x axis = 70 degree clockwise direction.

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

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Q: A vector has magnitude 12.7. Rounding off, which pair of components could not produce this vector? O…

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Q: What is the magnitude of the resultant of vectors A = 10 units 30 degrees North of East and B = 20…

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Q: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0A.…

A: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0A.…

Q: Given the ff vectors : A = 5 km, East ; B = 8 Km west ;C = 7 km, south ;D = 4 km, north ; E = 9 km,…

A: We have given the five vectors  is given as  A→= 5i^ km  &    C→= -7 j^ km B→= -8i^ km  &…

Q: Suppose instead the superhero leaps in the other direction along a displacement vector B to the top…

A: Given data: X-component of the displacement vector is, Bx = -25 m Y-component of the displacement…

Q: The baseball diamond is a square with sides 27.4m (90 ft) long. If the positive x axis points from…

A: Given data The parameter of the square is given as a = 27.4 m. The initial point for the baseball…

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

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Q: He walks 2.0 km north, then turns and walks 4.0 km south of east. What is his displacement vector?…

A: Write the given values with suitable variables. d1=2 kmd2=4 km Here, d1 denotes the distance in the…

Scalars and Vectors

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