(a) the distance between these points and (b) their polar coordinates.

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: The Cartesian coordinates of point P are (- 6.50 m, 8.75 m).   Question 4 The length of P is ......…

A: Given: The co-ordinate of point P = (-6.5 m., 8.75 m.),

Q: What is the greatest distance on the surface of the earth that can be seen from the top of Mayon…

A:

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A:

Q: A sphere of radius r has surface area A = 4πr and volume V = (4/3) πr . If the radius of the sphere…

A:

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A: Given : position of fly : P(2.5,1.9) Origin: O(0,0)

Q: The point specified by the polar coordinates (7.00, 35.0º) is which of the following when converted…

A:

Q: The x- and y-components of a vector are: vx = 2.0 m/s, vy = -6.0 m/s.  Find the magnitude of the…

A: Given: horizontal x component of velocity vx=2.0 m/s. vertical y component of velocity vy=-6.0 m/s.

Q: A vector has a component of 6.9 m in the +x direction, a component of 2.8 m in the +y direction, and…

A:

Q: Given a vector (77, 48, 22) and another vector (4, 49, 67) what is the z-component of their sum?

A: Given that Vector 1 (A)= (77, 48, 22)  And , vector 2 (B)= (4, 49, 67) Let i, j and k be the unit…

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

A:

Q: 1. Perform the following mathematical operations, and express the result to the correct number of…

A: Note: According to guidelines, I can solve first three parts of the question. If you need help with…

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

A:

Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 5.0 m and points 30°…

A: Given data The magnitude of the vector A is 8 m. The magnitude of vector B is 5 m and points 30°…

Q: Vector R has a magnitude of 36 units directed 120° from the +x-axis of a Cartesian Plane. What are…

A:

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: Two points in a plane have polar coordinates P1(2.500 m, π/6) and P2(3.800 m, 2π/3) . Determine…

A:

Q: Add the following component vectors and determine the resultant. (You might want to draw them).…

A:

Q: For the multiplication of 7.443m times 8.5m, the result should be reported with how many significant…

A:

Q: If the cartesian coordinates of a point are given by (3, y) and its polar coordinates are (r, 60° ),…

A: Given data, co- ordinate x = 3 angle = 60o

Q: Vector B ⃗ is 5.0 cm long and vector A ⃗ is 4.0 cm long. Find the angle between these two vectors…

A:

Q: A vector ?⃗ = (−1.2 m)?̂+ (1.8 m)?̂. Find the magnitude and angle (between 0° and 360°, measured…

A:

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: Two points in a plane have polar coordinates (2.5m, 30°) and (3.80m,120°).Determine a) the catesiam…

A:

Q: Find the distance from the origin to the plane 3x − 2y − 6z = 7

A: The equation of the plane is, Now, compare the above plane with the general form of the plane (ax +…

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: polar angle of point

A:

Q: Two points in the xy plane have Cartesian coordinates (2.50, -6.00) m and (-4.50, 4.50) m. (a)…

A:

Q: If the vector = 5 N and the angle with x-axis is ?= 36.80, then the rectangular form of the vector…

A: Given,Magnitude of the vector, R = 5 NAngle with the horizontal or with x - axis, θ = 36.80°

Q: Vector A has a magnitude of 9.0 and Vector B has a magnitude of 3.0. If the vectors are at an angle…

A: Given data: Magnitude of vector A A = 9.0 Magnitude of vector B B = 3.0 Angle between vectors (θ) =…

Q: The vector B has components Bx -2.10 m and By = -1.70 m. Find the direction angle, for this vector?

A: Given: B→=Bx→+By→=-2.10 i^-1.70 j^ m

Q: There are two vectors lying on Q1 of the rectangular plane. Vector A = 125N at 75 degrees and vector…

A: Write the vector A. A=125 N @75o   Write the vector B. B=150 N @ 0o

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A:

Q: Given the point P(-0.4 m,0.5 m) in cartesian coordinates: 1. Write the position vector (including…

A: Position vector in form of Cartesian co - ordinates is given as vector component along x-axis and y-…

Q: For the Multiplication of 4.212m divided by 7.60m, the results should be reported with how many…

A: According to the rule of significant figures used in multiplication, the answer should be rounded…

Q: Two plane polar coordinates have the coordinates (2.7,42.8 °) and (4.7,98.8 °), calculate the…

A: It is given that two points have coordinates,

Q: A woman measures the angle of elevation of a mountaintop as 12.0°. After walking 5.55 km closer to…

A: Given that, The angle of elevation of a mountaintop as 12.0° After walking 5.55 km closer to the…

Q: Two points in the xy plane have Cartesian coordinates (5.50, -7.00) m and (-6.50, 6.50) m. (a)…

A:

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

A:

Q: The point specified by the Cartesian coordinates (3, 5) is which of the follow when converted to…

A: cartesian coordinate of a given point = (3,5)

Q: Two points in the xy plane have Cartesian coordinates (3.50, -5.00) m and (-6.50, 6.50) m. (a)…

A: The transformation equation for cartesian to polar coordinates is : r=x2+y2andθ=tan-1yx

Q: Two points in the xy plane have Cartesian coordinates (3.50, –5.00) m and (-6.50, 6.50) m. (a)…

A: Given: The coordinates of the points are 3.50, -5.00 and-6.50, 6.50

Q: Evaluate cach of the following to three significant figures and express cach answer in SI units…

A:

Q: Perform the following multiplication and division calculations. Give a final answe with the correct…

A: a) The multiplication of figures would be 0.1184×8.00×0.0345=0.0326784

Q: Two plane polar coordinates have the coordinates (2.2,48.3 °) and (4.6,10.50 ), calculate the…

A: