A radar station sends a signal to a ship which is located a distance 13.8 kilometers from the station at bearing 136° clockwise from the north. At the same moment, a helicopter is at a horizontal range of 19.6 kilometers, at bearing 146° clockwise from the north, with an elevation of 2.56 kilometers. Let east be the î direction, north be the ĵ direction, and up be the direction.   (a) What is the displacement vector (in km) from the helicopter to the ship?    b) What is the distance (in km) between the helicopter and the ship?

Q: If d1= 3m, 60 degrees east of north, d2= 4m, 45 degrees SW and d3= 6m, 30 degrees NW, what is the…

A: given: d1 = 3 m direction : 60 degrees EN   d2 = 4m direction : 45 degrees SW   d3 = 6m direction :…

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,…

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

Q: 15m, 45 degrees + 5m, 315 degrees + 10m, 240 degrees

A: A vector can be written as A̅ =Ax î +Ay ĵ

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

A:

Q: Calculate the magnitude and direction of the resultant of the two vectors a) 50 km E and b) 70 km…

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Q: A = 15m due West from one office to another in a company, a man travels as follows: B = 25 m. 53°…

A: A = 15 m, due west B = 25m, 53 degrees east of north C = 20 m due east

Q: Erik and Manuel drive at a compass heading of 270 west of south for 18 km to Trece Martires, then…

A: Resultant of two or more than two vector can be determined by resolving the vectors into its…

Q: Find the x− and y− components of the vectors A~, B~ , C~ , and D~ . Take A = 10.0, B = 7.00, C =…

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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: Express the vector F= 10.00 m/s, 35.00 degree North of East to component form, while converting to…

A: Given  F= 10.00 m/sec  35.00 degree north of east  So  F--> =??

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

Q: If the vector A = I – 2j and the vector B = 4i – 5j , what angle does A + B form with the x-axis?

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Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 6.0 m and points…

A: (given) Vectors are A→, B→ and C→. A→=8 i^B→=6 j^C→=-5 j^ Vector isV→ =A→+B→ +C→    =8 i^+6 j^-5 i^…

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

A: Given: A→ = 15 m due west  B→=25 m, 53° East of North  C→= 20 m due East.

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

A: Solution:                                                                                    We get…

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

A: Given data The length of the vector A is lA = 2.80 cm. The angle made by the vector A with the…

Q: PLEASE HELP

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

Q: Vector A = 6.0 m and points 30° north of east. Vector B= 4.0 m and points 30° west of south. The…

A: Given: The vector A is 6 m 30o north of east. The vector B is 4 m 30o west of south. The diagram of…

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

A: Given value--- F1= 25 newtons 50 degrees north of east. F2 = 16 newtons 75 degrees south of east.…

Q: Given vector A with a magnitude of 70 m and a direction of 30° with respect to the positive x-axis…

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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: 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: Into which quadrant do each of the following vectors point? A Quadrant II 90°<0く180° Quadrant I 0"…

A: Questions based on vectors and quadrant system

Q: Consider vectors A = 9.00 [m], 60.0 • North of East, and B = 300. [cm], 30.0 • West of North. What…

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Q: Let θ be the angle that the vector A vec. makes with the +xaxis,measured counterclockwise from that…

A: There are two physical quantities in nature- scalar and vector. Scalar quantities are those which…

Q: Find the resultant vectors. 1. A 10 M, NORTH = B = 20 M, NORTH 2. C= 15 M, WEST D = 20 M, WEST 3.…

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

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Q: Given that u is a vector of magnitude 3, v is a vector of magnitude 4, and the angle between them…

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A: 3.  v1 = 92 km/h east v2 = 79 km/h east

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: For the displacement vectors i = (3.0 m)î + (4.0 m)ĵ a (-2.0 m)j, give ř, + i, in (a) unit-vector…

A: Givenr1→=3.0 mi^+4.0 mj^r2→=5.0 mi^+-2.0 mj^

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  &amp;    C→= -7 j^ km B→= -8i^ km  &amp;…

Q: A radar station sends a signal to a ship which is located a distance 14.0 kilometers from the…

A: Since you have posted a question with multiple sub-parts , we will solve first three sub-parts for…

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

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Q: Consider three vectors A,B and C all lying in the æ y plane. Vector A has length 6.2 and makes an…

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Q: Erik and Manuel drive at a compass heading of 270 west of south for 18 km to Trece Martires, then…

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Q: Given vectors A (0i + 10j – 8k) N and B 3i – 63 + 8k ) N, find the magnitude of - resultant of these…

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Q: If A is 35.0 meters 47° S of E and B is 19.5 meters north, what is the magnitude and direction of…

A: Given:  A = 35 m due 47 degree S of E B  = 19.5 m due north

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.