, what are (a) the length of the unknown side, (b) the tangent of θ (theta), and (c) the sine of φ (phi)?

Q: The resultant force is [resultant] and the angle of direction from the positive horizontal axis of…

A: Let the vector MN be vector A and It can be represented as, Here, Ax, Ay, and θA represent the…

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: The vector (3, 45°) is equal to (1.83, 2.83) in rectangular coordinate O (1.83, 1.83) in rectangular…

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

A: The distance will be :

Q: vectors A and B with the magnitude 750 N and 900 N respectively, which create some angles with the…

A:

Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: tically-upward vector b • Outwardly-directed unit vector ĉ 1.6 4 Vector magnitude and direction…

A:

Q: If the rectangular coordinates of a point are given by (2, y) and its polar coordinates are (r, 30),…

A: answer y=1.1547 r=2.3094 Explanation Relationship between rectangular coordinates (x,y) and polar…

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: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

A:

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

A:

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

A:

Q: Determine the component Rx, Ry, and Rz of the vector with a magnitude of 600 units. Also, draw the…

A:

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

A:

Q: In Figure P1.49, find (a) the side opposite θ, (b) the side adjacentto ϕ, (c) cos θ, (d) sin ϕ, and…

A: Given:

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

A:

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

A: a) The distance between the given points can be determined as, Here, (x1, y­1) and (x2, y­2)…

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

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: Two vectors in polar coordinates (R, θ) are given by
 V1 = (5.0, 125°) and V2 = (4.0, 260°). Find…

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 the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance…

A:

Q: The x-component of the unit vector from the point A(-2, -3) to the point B(-1, 6), is:

A:

Q: The resultant vector R = 9A + 5B + 2C where A = 5 i + -2 j + 7 k ; B = 6 i + 8 j + -7 k and C = -6 i…

A: It is given that :

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: Given the two vectors A = (3.00)î - (1.57)j and B = (-4.00)î + (3.95)j, determine the following for…

A: a) The required resultant vector is, b) The required magnitude of resultant vector is,

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: 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: Use the magnitude and the angle to find the components of the sum.

A: In the table you are asked to execute three processes- simulation, algebric and graphical solution…

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: If the sides of the triangle are given as a= 7 units and b=10 units, what is the longest side of the…

A: Side 1 of triangle: a = 7 units Side 2 of triangle: b = 10 units

Q: A figure skater glides along a circular path of radius 5.00 m. If she coasts around one half of the…

A:

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: The x and y coordinates of point P are (-8.50 m, -7.00 m). What is the magnitude of point P?

A: Solution:

Q: The rectangular coordinates of a point are (1, 0) . Plot the point and find two sets of polar…

A: Given data: Rectangular coordinates of a point are 1,0

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: 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 components of vector Q are given as follows: Qx = 23.5 Qy = 18.6. What is the measure of the…

A: Given data:   Qx = 23.5 Qy = 18.6

Q: If the polar coordinates of a point are (r, φ) and its rectangular coordinates are (x, y) ,…

A: If the polar coordinates of a point are (r, φ) and its rectangular coordinates are (x, y)

Q: If y equals to 9 minus 7x plus 2x squared, find y when x equals to 3?

A:

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.