It takes a golfer three strokes to get a golf ball into a hole. On the first hit, the ball moves 6.0 m to the east. On the second hit, it moves 2.9 m at an angle of 20 ° north of east. On the third hit, it moves 0.50 m to the north. If the golfer had struck the ball directly into the hole in one stroke, what would have been the magnitude (in m) and the direction of the ball's displacement? Indicate direction as a positive angle measured counterclockwise from east.

Q: Vector A has magnitude of 8 m and vector B has magnitude of 7.8 m. If the angle between the two…

A: Given data, Magnitude of vector A = 8 m Magnitude of vector B = 7.8 m Angle between vector A and B =…

Q: hen he did a 90-deg clockwise turn and then moved 50 km further. After that, the ship captain…

A: Given data :-   He started from a harbor in Hawaii and traveled 100 km, 50 degrees W of S.  he did a…

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: 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: In a two-dimensional plane, vector A is 3 meters due east and vector B is 5 meters, due 36.87…

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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: Given four vectors: 3 newtons 20 degrees south of west; 6 newtons 45 degrees north of west; 4…

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Q: A golfer was able to shoot the ball in the hole after three putt: 6 m North, then 2.4 m at an angle…

A: There are 3 shots here which we can consider as 3 vectors. First 6 m north then 2.4 m at an angle…

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: Vector A is 5.80 cm long and is 60° above the x-axis in the first quadrant. Vector B is 5.80 cm long…

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Q: Given four vectors: 16 newtons 20 degrees south of east; 25 newtons 45 degrees south of east; 10…

A: Given vectors:A=16 N, 20° south of eastB=25 N, 45° south of eastC=10 N, 65° east of southD=30 N, due…

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: A student on a treasure hunt undergoes three displacements in search of the treasure, as shown…

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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: 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: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

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

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Q: A radar station sends a signal to a ship which is located a distance 13.0 kilometers from the…

A: Solution:                                                                                    We get…

Q: The resultant of three vectors is 90.00 cm 34 degrees North of West. If two of these three vectors…

A: Resultant vector (R→) = 90 cm ( -cos(34o)i^ + sin(34o)j^)= -74.6i^ + 50.32j^ cm Let one of the…

Q: Two force vectors of magnitudes 21 Newton and 79 Newton are added. Which one of the following is the…

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Q: A person walks 29.0° north of east for 2.40 km. How far due north and how far due east would she…

A: Displacement of person = 2.40 km in a direction 29o north of east

Q: A boy walk 140 m due north, 85 m due east, 35 m due southeast, 38 m due west and then  19 m due…

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Q: A woman sailing a boat is following directions to a dock. First she sails 27.5m 66 degrees NE. Then…

A: The woman sails in the north of east direction for a distance of r1 = 27.5 m at 66° And then in the…

Q: A skater glides along a circular path of radius 5.10 m. (a) If he coasts around one half of the…

A: Given data:  Radius of the circular path r = 5.10 m

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: Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm…

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Q: given two vector a and b find vecto 2A - 4B and its magnitude, whre A = ax + 2ay and B = 5ax - 4ay…

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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: A fly enters through an open window and zooms around the room. In a Cartesian coordinate system with…

A: Given data: The initial position of the fly is: b ( 4.0 m, 1.5 m, 2.5 m ) The final position of the…

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: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

A: Given: A=25 N (50 N of E)B=16N (75 S of E)C=10 N (35 E of N)D=30N (S)

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

A: In this question we have to determine the magnitude and direction of the resultant vector. Please…

Q: To get from one office to another in a company, a man travels as follows:  Which of the following…

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Q: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your…

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Q: In the sum A→+B→=C→, vector A→ has a magnitude of 13.4 m and is angled 44.9° counterclockwise from…

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Q: You found a treasure map! It said, start at the well, go 100 m straight south, then 30 m, 40 degrees…

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Q: Vector D is in the direction 34.0 deg clockwise from the -y-axis. The x- component of Vector D is…

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Q: the professor asks to find the vector D=A+B-C, where vector A has a magnitude of 8.29 units and…

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Q: Vector C has a magnitude of 22.2 m and points in the –y- direction. Vectors A and B both have…

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Q: What is the magnitude, X (in m2), of the cross product of a vector of magnitude 7.2 m vector…

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Q: A person walks 30.0 north of east for 3.80km. How far due north and how far due east would she have…

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Q: How far due north and how far due east would she have to walk to arrive at the same location?

A: Given data: The distance travel by the person in north-east direction is: d=2.90 km The angle made…

Q: Vector A, which is shown in the figure, has a magnitude of 10 and a direction angle of 60°. What is…

A: Given data:  Magnitude of vector A = 10 m Angle = 60° Required: The magnitude and direction angle of…

Q: ector A has components ??=−10.4 and ??=10.4 What is the magnitude of this vector? Find the angle θ…

A: Vector A can be written as; A=-10.4i→+10.4j→

Q: Starting in Albany, you travel a distance 285 miles in a direction 40.8 degrees north of west. Then,…

A: So the displacement from Albany is  Therefore the displacement from Albany is 288 miles

Q: A GPS receiver told you that your home was 15.0 km at a direction 40° north of west but the only…

A: GivenResultant location of home, R=15.0 km ,40° N of WDistance walked in north direction, P=10 km

Q: You found a treasure map! It said, start at the well, go 100 m straight south, then 30 m, 40 degrees…

A: Given, It said, start at the well, go 100 m straight south, then 30 m, 40 degrees North of West,…

Scalars and Vectors

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