A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o south of west; (3) 28.0 cm, 55o south of east, and (4) 35.0 cm, 63o north of east (5) 18.0 cm, east. Find the magnitude and direction of the resultant displacement. Express the direction of the resultant displacement. A river flows from south to north at 5.0 km/h. On this river, a boat is heading east to west perpendicular to the current at 70 km/h. As viewed by an eagle hovering at rest over the shore, how fast and in what direction is this boat traveling?

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: Find the resultant of the following vectors: 30 m east, 40 m south, and 50 m west.

A: Let  A = 30 m  east horizontal component = Ax= 30 m and vertical component = Ay= 0 m       B = 40m,…

Q: Vector m=4.00 points eastward and vector n=3.00m southward. The resultant vector m+n is given by?

A: Given data:  M = 4.00 m, towards East  N = 3.00 m, towards South Required: Resultant vector M+N

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: To get from one office to another in a company, a man travels as follows: B = 25 m, 53° East of…

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Q: Given the following vector components of vectors C and D: Cx = 7.40, Cy = 4.60,  Dx = 6.20, Dy =…

A: Let

Q: Given the vector A = 100.00N at 30.00º above the negative x-axis. In terms of rectangular form, the…

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Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 5.0 m and points 30°…

A: Given data The magnitude of the vector A is 8 m. The magnitude of vector B is 5 m and points 30°…

Q: Given the displacement vectors A = (2i + 4j + 4k) m and B = (5i - 2j + 3k) m, findthe magnitudes of…

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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: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00j. Find the magnitude of each vector.

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Q: What is the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.00j?

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Q: Add the following component vectors and determine the resultant. (You might want to draw them).…

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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: Four displacement vectors of a croquet ball are shown in Figure, where A = 20.0 units, B = 40.0…

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

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Q: To get from one office to another in a company, a man travels as follows: = 25 m, 53° East of Nor =…

A: Given B=25 m, 53o East of North =25 m, 37o North of East.

Q: You found a teasure map and it said. Start at the well, go 100 m straight south, then 30 m, 40°…

A: Given that A =  100 m straight south, then   B= 30 m, 40° north of west, then 25 m Straignt east,…

Q: • Find Ax and Ay for the vector its magnitude and direction given by A = 3.5 m and ©=66°…

A: (a) The values are, Ax = 3.5cos(66) = 1.4m Ay = 3.5sin(66) = 3.18m

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

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Q: Vector A>has a magnitude of 50 units and points in the positivex direction. A second vector,…

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Q: What would be the the  x component of the resultant vector if I add two vectors one with a magnitude…

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Q: Addition of Vectors. Vector A has a magnitude of 3 units directed 30° south of east while Vector B…

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Q: What's the resultant displacement vector C=A+B as a magnitude and direction? Given 2 vectors:…

A: Given: The vectors, A = 4.00i + 7.00j B = 5.00i - 3.00j

Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: Consider a vector (A) in the XY-plane as shown below:     It makes an angle (θ) with the x-axis and…

Q: Given two vectors = 3.00 + 5.00 and = -7.00-3.00. (a) Give the x- and y-components of each vector…

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Q: Three displacement vectors of a croquet ball are shown in the figure, where IAI - 16.0 units, B| -…

A: a) The required resultant vector is, b) The required magnitude of the resultant vector is,

Q: The route followed by a hiker consists of three displacement vectors A,B ,c Cand . Vector  A is…

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Q: Two vectors have length V1=3.5 km  and V2= 4.0 km.What are the maximum and minimum magnitudes of…

A: The length of the two vectors,

Q: If vector Á has components Ax = -3.0 lb and Ay = -4.0 lb, and vector B has components By = 3.0 lb…

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Q: A vector  A  has components  Ax = −3.00 m  and  Ay = 6.00 m.  Find the magnitude (in m) and the…

A: Given,

Q: Three displacement vectors of a croquet ball are shown in the figure, where |A| = 12.0 units, |B| =…

A: Given Data : The magnitude of the vector A→=12 units The magnitude of the vector B→=35 units The…

Q: Three vectors A, B, and C have the following components: Ax=5.00, Ay=7.00; Bx=4.00, By=3.00;…

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Q: Given vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: T = 3à +26

A: Given  a=(9,-6) b=(3,-2) r=3a+2b (where r, a and b are vectors)

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: Given vectors a=(0,-3) and b=(2,0) Find the y-component of the resultant vector: T = 2a + 36

A: Given a=(0i-3j) b=(2i+0j)

Q: A figure skater glides along a circular path of radius 5.00 m. If she coasts around one half of the…

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Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: Given data: The first displacement vector of grass hopper towards west is A=27.0 cm. The second…

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: Find the x and y components of a vector with magnitude F=15N and direction theta = 35 degrees. Find…

A: Since there are multiple questions posted, we will answer the first question. The x-component of the…

Q: Given 3 vectors: Vector 1 is 500N at 300, Vector 2 is 300N at 1500 and Vector 3 is 400N at 2700,…

A: Given: Magnitude of Vector 1 = 500 N , Angle of Vector 1 = 30o Magnitude of Vector 2 = 200 N , Angle…

Q: Given three vectors A= 5m W, B= 8m E, and an unknown vector C which lies along the x axis. If the…

A: A→ = 5 m due west B→ = 8 m due east Resultant of three vectors = R→= 2 m due west

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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Scalars and Vectors

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