The baseball diamond is a square with sides 27.4m (90 ft) long. If the positive x axis points from home plate to first base and the positive y axis points from home plate to third base, find the magnitude and the direction angle of the displacement vector of a base runner who has just hit (a) a double, (b) a triple, and (c) a home run.

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

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Q: 1. Vicky walks 8 km East, then 5 km South and finally 6 km West. Find her resultant displacement. 2.…

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Q: Write the final magnitude and direction of the resultant vector. Include a properly labeled diagram…

A: solution as

Q: A vector A is added to B=61-8j. The resultant vector is in positive x direction and has a magnitude…

A: Given: The vector B is B=6i-8j. The magnitude of vector A and resultant is same that is A.…

Q: Suppose you have three vectors: A⃗=−3i^+6j^ B⃗=2i^−4j^ C⃗=4i^+3j^ What is the magnitude of vector…

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Q: Convert these vectors to scale: Vector A= 20 km, 30° N of E Vector B 15 km, 20° W of S Vector C= 25…

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Q: Vector 1 is 7 units long and is at 70°. Vector 2 is 5 units long and is at 155°. Vector 3 is 3 units…

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

A: (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…

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

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Q: 3. Given : Vector A = "No. of letters of your First Name" units @ N 75° E Vector B = "No. of letters…

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Q: Calculate (a) the x- and (b) y-components of the vector with magnitude 24.0 m and direction 56.0º.

A: Given Magnitude of Vector=24.0 mDirection 56.0°

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: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind…

A: d1→ = 2.50 km (-cos45oi^ + sin45oj^)d1→ = -1.767i^ + 1.767j^ km d2→ = 4.70 km (+cos60oi^ -…

Q: A 5.1, = A = -5 y X B = -2.6, B = 4.3 X y

A: Given  Ax=5.1 , Ay=-5 Bx=-2.6 , By=-4.3 Required magnitude of A+B

Q: If the x- & y-components of the Sum vector are 5.1 N and -2.5 N, respectively, the magnitude of the…

A: We know that magnitude of vector whose x and y components are a and b respectively is…

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: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: Given : A→ = 42 i^ + 42 j^            B→ = - 8 i^

Q: Given the following three vectors: A: 300 m at 50° and B: 40 m at 150° and C: 100 m at 270 °,…

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Q: In the figure, which of the indicated methods for combining the x and y components of vector a are…

A: The vectors are always represented by arrows. The length of the arrow shows that the magnitude of…

Q: Vector A has an x component Ax=6 and a y component Ay=5. Vector B has an x component Bx=2 and a y…

A: Given data:  Vector A  Ax = 6, Ay = 5 Vector B Bx = 2, By = 1 Required:  Magnitude of the vector…

Q: 35 В - 9 m А - 5 m

A: The given values with suitable variables are listed below. Here, A denotes the magnitude of the…

Q: Vector a→a→  has a magnitude of 25 units and makes +20° with the +x-axis. Vector b→b→  has a…

A: We resolve the given vector in component form, a→=25 unitsθ=20oax→=a→cosθ=25cos20o=23.49…

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: 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: An ocean liner leaves New York City and travels 16.2° north of east for 117 km. How far east and how…

A: a) The distance travelled along East direction is    DEast=(117 km)cos16.2o           =112 km

Q: If vector B is added to vector i, the result is 6i + j. If B is subtracted from A, the result is -4i…

A: The solution can be given as follows :-

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

A: Given data:  A magnitude of the vector A = 8.6 Vector lies in fourth quadrant  Angle (θ) = 37° with…

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: 42.0 31.0

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Q: Determine the magnitude of the vector V and the angle e which vector V makes with positive x-axis?…

A: Calculate the angle of V1. θ1=tan-134=36.87 Write the expression for the unit vector notation of…

Q: The x-component and the y-component of the vector with a magnitude of 25.0 m and a direction of…

A: The x component of any vector a is,  ax=acosθ The y component of vector a is,  ay=asinθ Here, a is…

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: Use the graphical technique for adding vectors to find the total displacement of a person who walks…

A: Take a graph paper, scale, and protector. On the graph paper, assume the length of 1 by 1 block is 5…

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

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Q: Given the following vectors: A = 80.0 N 25.00 south of east, B = 100. N 82.00 north of east…

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

A: Dog run north =0.64km Total displacement vector =0.91km

Q: In the Vector Addition Lab, Anna starts at the classroom door and walks: 2.0 meters, West 12.0…

A: The displacements in either of the directions is given by 2 m in West 12 m in North 31 m in West 8 m…

Q: 1. Vicky walks 8 km East, then 5 km South and finally 6 km West. Find her resultant displacement. 2.…

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Q: If you know the magnitude of a velocity vector is V, and the angle 0 it makes with horizontal axis…

A: Magnitude = V

Q: Given Five vectors whose lengths and dirction – senses are as follows: Aa is 1.5 inch long and 90…

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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.