An airplane flies 200 km due west from city A to city B and then 260 km in the direction of 29.5° north of west from city B to city C. (a) In straight-line distance, how far is city C from city A? km (b) Relative to city A, in what direction is city C? ° north of west

Q: If | A •B, what is the angle between A and B?

A: Let A and B denote the two vectors and θ denote the angle between the vectors. The given situation…

Q: An airplane flies 200 km due west from city A to city B and then 355 km in the direction of 27.5°…

A: Draw the diagram. Here, AB is the distance between the cities A and B, BC is the distance between…

Q: An airplane flies 200 km due west from city A to city B and then 300 km in the direction 30.0° north…

A:

Q: An airplane flies 200 km due west from city A to city B and then 305 km in the direction of 27.0°…

A: (a)

Q: Two points in the xy plane have Cartesian coordinates (2.00,- 3.00) m and (- 4.00, 3.00) m.…

A: Given:-  The two-point  on the xy plane as  A= 2,-3 m B=-4, 3 m Find:-  a) The distance between the…

Q: 5. (20 points) A taxi cab driver starts from his house and drives to city A located 10.0km from his…

A: Solution: From the figure, in triangle OAD. cos62=ODOA 0.469=OD10OD=4.69 km sin62=ADOA…

Q: Find the polar coordinates corresponding to a point located at (-5.30, 11.02) in Cartesian…

A: Given: (x,y) ≡(-5.30,11.02)

Q: An airplane flies 200 km due west from city A to city B and then 360 km in the direction of 30.5°…

A: Given: The distance traveled by an airplane due to west from city A to city B is a = 200 km The…

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

A: four vectors: 16 newtons 20 degrees north of west; 25 newtons due south; 10 newtons due east; and 30…

Q: A man walks 22.4789 m directed 61.0652 degrees from the positive x-axis, then he walks 17.113 m…

A: d1 = 22.4789 m @61.0652o counterclockwise from +x axis d2 = 17.113 m @334.191o counterclockwise from…

Q: If the Cartesian coordinates of a point are given by (-1, y) and its polar coordinates (r, 120°).…

A: given that    Cartesian coordinate =( -1 , y )  put  X = -1    Y = y polar coordinate =( r, 120°)…

Q: An airplane flies 200 km due west from city A to city B and then 325 km in the direction of 27.0°…

A: The whole system can be represented as,

Q: The displacement vectors 42.0 cm at 15.0° and 23.0 cm at 65.0° both start from the origin and form…

A: The first displacement vector in unit vector notation is The second displacement vector in unit…

Q: Two points in a plane have polar coordinates (2.50 m, 30.0°) and (3.80 m, 120.0°). Determine (a) the…

A:

Q: Two points in a plane have polar coordinates (2.80 m, 30.0°) and (3.50 m, 120.0°). Determine (a) the…

A: Basic concept: The polar coordinates are represented by the symbols r and θ. They indicate the…

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: Given A = and B = If VectorC=B−A/2 , determine the magnitude of vector C. (Round your answers to…

A:

Q: Consider the three displacement vectors  = (−2î − 3ĵ) m,  = (4î − 5ĵ) m, and = (−6î + 5ĵ) m.  Use…

A: Given data: A= (−2î − 3ĵ) m B= (4î − 5ĵ) m C= (−6î + 5ĵ) m Need to determine the magnitude and…

Q: Find the polar coordinates of the points with Cartesian coordinates (3x, -3y).

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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: two points are given in polar coordinates by  (r, ?) = (2.20 m, 50.0°)  and  (r, ?) = (3.00 m,…

A:

Q: A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the…

A:

Q: Vector C→ 32 southwest for 94m. Vector D→ 35 north of east for 122m. 2. Find the resultant vector…

A: R = √[ X^2 + Y^2] R = resultant of two perpendicular vector

Q: Vector A has magnitude 3.0 m and points to the right; vector B has magnitude 4.0 m and points…

A:

Q: Two points in the xy plane have Cartesian coordinates (2.00, –4.00) m and (-3.00, 3.00) m. Determine…

A:

Q: An airplane flies 200 km due west from city A to city B and then 285 km in the direction of 30.5°…

A: Given,

Q: PLEASE HELP

A: Consider the triangle ABC, where AB is the distance between the cities A and B, BC is the distance…

Q: Find the angle made by the resultant of two vectors (Round your answer to two decimal places) A: 10…

A: Given:- Two vector  A = 10 and angle 40 degree  B=20 and angle 9 degree  Find:-  The angle made by…

Q: An airplane flies 200 km due west from city A to city B and then 275 km in the direction of 36.0°…

A:

Q: Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance…

A:

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: Two points in the xy plane have Cartesian coordinates (2.00, 24.00) m and (23.00, 3.00) m. Determine…

A: The coordinates of the first point is  The coordinate of second point is The distance between…

Q: An airplane flies 200 km due west from city A to city B and then 335 km in the direction of 34.0°…

A:

Q: A boat travels on a course of bearing N 37 degree 109 W for 79.5 miles. How many miles north and how…

A: Given: The angle is θ=37°. The distance is d=79.5 mi. The expression for miles travelled by boat in…

Q: An airplane flies 200 km due west from city A to city B and then 275 km in the direction of 29.0°…

A: (a) The distance covered along west is dw=200 km+275 kmcos29.0°=440.52 km The distance covered along…

Q: For the problem below, the magnitudes of the horizontal and vertical vector components, Vx and Vy,…

A: Given: The horizontal component of the velocity is 40.0 m/s. The vertical component of the velocity…

Q: what would be the polar coordinates of this vector? 0.265i + 0.223j

A:

Q: Suppose you walk 27.5 m straight east and then 17.5 m straight south. How far are you from your…

A: Given: The displacement of the object is 27.5 m east and then 17.5 m south.

Q: In the following right triangle, side c = 25 m and angle theta = 53.13. Find each of the following.…

A: Given: c= 25 m θ= 53.13

Q: John went to his girlfriend to propose and walk 30m straight west and then 25m straight north. How…

A:

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

A: A vector can be written as A̅ = A Cosθ î + A Sinθ ĵ  resultant can be obtained by resolving them…

Q: An airplane flies 200 km due west from city A to city B and then 340 km in the direction of 36.0°…

A: Given values, AB = 200 km BC = 340 km

Q: A commuter airplane takes the route shown in Figure 3.20. First, it flies from the origin of the…

A: The Displacements in their vector form are written as : OA→=OAcos300i^+OAsin300j^OA→=175 km32i^+175…

Q: Vector a has a magnitude of 2 units and points towards the west. Vector b has a magnitude of 2 units…

A: As per our guideline we will answer only one question.

Q: Using a standard cartesian coordinate system, determine the components of the vectors shown below.…

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Q: A commuter airplane takes the route shown in figure. First, it flies from origin of the coordinate…

A: The vector diagram of routes of the airplane is given below

Q: If Vector A is 50cm, Vector B is 30cm and Vector C is 20cm, then how would a graphical…

A: The vector T is the sum vectors A, B and C

Q: Vector A has a magnitude of 4.0 m and points 30° south of east. Vector B has a magnitude of 2.0 m…

A:

Scalars and Vectors

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