Two straight roads intersect at a point P and make an angle of 42.6 there. At a point R on one road is a building that is 368m from P and at a point S on the other road is a building that is 426m from P. Determine the direct distance from R to S

Q: Find the vector sum of A and B if A is 6.5km, south, and B= 4.0 km, 45 degrees south of east

A: Resultant of two vector can be determined by parallelogram law of vector.

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: A man walks 15.9183 m directed 167.673 degrees from the positive x-axis, then he walks 29.546 m…

A:

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: Two points in a plane have polar coordinates (2.40 m, 40.0°) and (4.50 m, 110.0°). (a) Determine…

A: The cartesian coordinates of a point is given by ax = acosθ ay = asinθ, where a is the magnitude of…

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: You drive 8.00 km in a straight line in a direction 25 degrees east of North. Find the distances…

A: Distance moved (d)= 8 km Direction of travel (θ) = 25 degree east of north

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: Drag the blue point to a location on the coordinate plane so that the vector v (shown below in blue…

A: Measure the angle 36.87o from the x axis and extend the arm of force to 15 units. Points will be :…

Q: The vector above is given in x- and y-component form as Vx = 14 m/s, Vy = -5 m/s' What is the angle…

A:

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: You walk 60 meters to the North and 60 meters to the West. Find the magnitude, direction, and sense…

A: d1 = 60 m (north)d2 = 60 m west magnitude of displacement = 602 + 602 = 602 m = 84.85 m DIrection =…

Q: Two vectors in Cartesian coordinates have components A = (3, 3, 1) and B = (4, 2, 5). 1. What is…

A:

Q: Vector A has a given magnitude of |A|=6.5 and points due east. Vector B, of unknown magnitude,…

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: Two points are given in polar coordinates by (r, θ) = (1.60 m, 50.0°) and (r, θ) = (6.60 m, -70.0°),…

A:

Q: difference between the front end of the plane and the tail end of the plane? 3.11 You are piloting a…

A: The height difference between front end and trail end of the plane is = 11.24 ft

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

A:

Q: Three vectors are shown in the figure below, along with an x-y coordinate system. у (m) 2- -x (m) 5…

A: From the figure adding vector A+B+C = R a) now the magnitude of the…

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: Draw and label the vector with these components. Then determine the magnitude and angle of the…

A: The vectors are given by; a→=3 i^-2 j^ (This vector will be in the fourth quadrant) b→=-2 i^+2 j^…

Q: In the polar coordinate system, r is the distance from any point to the point having Cartesian…

A: In polar co-ordinate r is represented as radial component. And it can be expressed in terms of angle…

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: 1. Vector A has magnitude of 8units and makes an angle of 45" with the positive x-axis. Vector B…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A vector A has a length of 8.6 m and points in the negative z direction. Part A Find the z component…

A:

Q: On a fine Sunday afternoon, you went malling at the Mall of Asia. Starting from the parking lot, you…

A:

Q: Draw exactly vectors A and B and find the components of the vector sum of the two vectors C=A+B and…

A: Here, We are given, two vectors, A = (2ex+3ey) and B=(5ex+1ey) . We have to draw these two vectors…

Q: For the vectors shown in the figure below, answer the following question: The vector R is given by…

A:

Q: A vector A has a magnitude of 40.0 m and points in a direction 20.0° below the positive z axis. A…

A:

Q: 21) What is the height of the building to the nearest thousandths? O A. 200 m OC. 0.003 m O D.…

A:

Q: Consider the following vectors: A = 5.2j;  B = -4.1i + 2.5j.  Draw a diagram showing the addition of…

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

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: The typical baseball Diamond is a square 90 ft long on each side suppose a player hits a home run…

A:

Q: The coordinates of the line AB is A(2,-5,3),B(-4,-1,-2) find the true length of the line AB by using…

A:

Q: On a fine Sunday afternoon, you went malling at the Mall of Asia. Starting from the parking lot, you…

A: according to Sine law of triangle  SinAa=SinBb=SinCc

Q: Question 5 A vector has an x-component of 4 m and makes an angle of 22° counterclockwise from the…

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: Vector C has a magnitude of 23.4 m and points in the -y-direction. Vectors A and B both have…

A:

Q: Vectors A and B have equal magnitudes of 5.00. The sum of Á and B is the vector 6.00j. Determine the…

A:

Q: If we have two vector A=6 B=10 And the angle between them 30 What is the magnitude of the two…

A: Given values:- A=6 ----(1) B=10 ----(2) θ=30 0 ------(3) Let us consider the magnitude of the two…

Q: A man walks 12.4549 m directed 330.0841 degrees from the positive x-axis, then he walks 49.2361 m…

A: Draw the vectors and take components of the vectors and add them.

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: 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: 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: The hypotenuse of the following triangle is 42 m and the angle is 30° a. Find the y component b.…

A: Given, hypotenuse = 42m Angle = 30° y component = hypotenuse×sinθ x component = hypotenuse×cosθ

Scalars and Vectors

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