Give all possible polar coordinates for the point (1, –V3) given in rectangular coordinates. | 57 a) О 2, + 2nn 2, + 2nt 3 3 b) O 4, + 2n7 3 4, + 2nn 27 c) O 1, + 2nn 3 1, + 2nn 3 d) O 2, + 2na 3 2, + 2nt 27 + 2n7 3 2, 3 e) O 2, + 2nn

Q: The point P has coordinates x = 1 m and y= -1 m relative to the origin O and the vector v is as…

A:

Q: What are the corresponding polar coordinates for the Cartesian point (-4,-4√3)? (-8,5T) 8, O Option…

A: This question is based on conversion from Cartesian to polar coordinates.

Q: On a plane equipped with a polar coordinate system, what is the area of ​​the triangle with vertices…

A: In polar coordinate system x=rcosθy=rsinθ

Q: Find the polar coordinates, 0 ≤ θ < 2π and r≤ 0, of thefollowing points given in Cartesian…

A:

Q: Describe the position of the point (2, 0°, 30°) given in spherical coordinates.

A: The rectangular coordinates (x, y, z) and the spherical coordinates, (r, θ, ɸ) of a point are…

Q: Determine whether the statement " If x > 0, then the point (x, y) on the rectangular coordinate…

A: Consider a point (x, y) on the rectangular coordinate system  Draw a line joining that point to the…

Q: pont are 2u3,-205) Find two sits of polar oordinates for the point with the rectang ular coordinates…

A:

Q: 1. Convert the point (-1,1, v2) from Cartesian to spherical coordinates.

A:

Q: express in polar coords with: Cりり me point whose Ty-Coords are a.r>o and OsoL2

A: Introduction: The polar coordinates r,θ of rectangular coordinates (x,y) in two-dimensional…

Q: Give two possible pairs of polar coordinates (r, 0) for the rectangular (Cartesian) point (-6, –6V3)

A:

Q: 20) Find two sets f polar coordinetes, (r, o),0LOL2 IT Por the point (6,6) in recten- gular…

A:

Q: A square is rotated about its center. Select all of the angles of rotation that will map the square…

A: A square has four equal sides and its adjacent sides are perpendicular to each other. That is, pairs…

Q: Find the Cartesian coordinates, (a, b), of the point given in polar coordinates by Р(2, п /3). 1.…

A:

Q: All the polar cordinates of the point (4,) are: ()(+2nx) and (-4, + 2nn) ()(4+2nn) and (-4, n) (e)…

A:

Q: If Z1= −4+j8  ,  Z2= 8−j5  ,  Z3= 3−j7   and   Z4= −8−j9   determine i) Z = (Z1*Z2*Z3*Z4) /…

A: Given complex numbers are: Z1=-4+8jZ2=8-5jZ3=3-7jZ4=-8-9j These complex numbers are given in…

Q: Plot the point given in polar coordinates. (3/2, 4.71) 3 4 5 0, 27 2 3 4 50, 27 3 7 3 л 0, 2.7 0, 27…

A: (3√2, 4.71) = (4.24, 270°)

Q: Give polar coordinates for the points (given in Cartesian co-ordinates) (1, -V3), and (-1, v3)

A:

Q: . In each part, find polar coordinates satisfying the state conditions for the point whose…

A:

Q: b. Express the point in at least two different ways. (Since polar coordinates are not unique.) (2)-(…

A:

Q: Convert the polar point (1,57/3) to an equivalent polar point where r < 0 and 0 <0 < 2T. O A. (1,…

A:

Q: Find the angle between the plane z=0 and the plane passing through the points (0, 0, 0), (3, 1, 0),…

A:

Q: 1.Find the area of the triangle in the xy-plane with vertices A(n,n2, n3),B(m,m2,m,),C(r..). 2.…

A:

Q: Cannot solve

A: We have to use the formula: We have

Q: Find the polar coordinates of a point with 7V3 (-꽃,-?) 7 Cartesian coordinates (x, y) 2 Select the…

A:

Q: Consider three points in three-dimensional space:…

A: We have the given points  A=(11,2,−3),B=(2,−3,11),C=(−3,11,2) Now the direction ratios of the line…

Q: Determine two pairs of polar coordinates for the point with 0° < 0 < 360°. (-3-2, -3 2) O (6, 225°),…

A: We know that cartesian (x,y) in polar form is (r,θ)Where r=x2+y2 and θ=tan-1(yx)So,…

Q: Plot the polar point. (+.똥) 2 2 3 4 3 4 2 2 2 3 4 5 2 3 4 2. 2.

A: 1,5π6

Q: Find the distance between P1(1, –91°) and P2(3, 335°) on the polar plane.

A: We know that, Distance between two Cartesian coordinates is,  Distance , D=x2-x22+(y2-y1)2 We know…

Q: Derive the formula for the distance between points P1(p1,q1,z1) and P2(p2,q2,z2) given in spherical…

A:

Q: 2. The point (4,30°) in plane polar coordinates is equivalent to .. in rectangular coordinates. (a)…

A: Given polar coordinates is  (4,30°)

Q: Locate the points given in polar coordinates by P(-3,) a(4). R(4.-) 1 Q(4, 7). among -2- -2 2 4 -2-…

A:

Q: If Z1= −4+j8  ,  Z2= 8−j5  ,  Z3= 3−j7   and   Z4= −8−j9   determine i) Z = (Z1*Z2*Z3*Z4) /…

A: Given data: The complex numbers are, Z1=-4+j8Z2=8-j5Z3=3-j7Z4=-8-j9

Q: Plot the polar point. (25. 푸) 4 2 3 4 2 4 4. 2. klN 3. 3.

A: To plot the given point

Q: The rectangular coordinates for the polar points [4, is 2 o (-4, 0) (0, 4) o (0, -4) o (4, 0)

A: We have to find

Q: Find the polar coordinates, 0 ≤ θ &lt; 2π and r≤ 0, of thefollowing points given in Cartesian…

A:

Q: Find the polar coovdinates rectanguar coordinak es the point whose (x,y)= LI,}) are

A:

Q: Plot the polar point. (-1, =) 2 4 2 4 4 4. 3. 3. 3. 3.

A: Each quadrant is divided into six equal sectors. This means starting from horizontal axis each line…

Q: Convert the Cartesian coordinates (3, 3) to polar coordinates. (3√2, 45°) (3√2, 60°) (3√2, 30°)

A:

Q: Give all possible polar coordinates for the point (4, –4/3) given in rectangular coordinates. 2n +…

A: Here, we will use  the formulas x=rcosθ and y=rsinθ.

Q: Find the polar coordinates, -π ≤ θ &lt; π and r ≥ 0, of thefollowing points given in Cartesian…

A:

Q: Find two other pairs of polar coordinates of (2, 27/3), one with r >0 and one with r <0. Then plot…

A: I am attaching image so that you understand each and every step.

Q: Express the Cartesian coordinates (-3, 1) as polar coordinates. (2, 330°) O (2V2, 150) O (2, 150)

A:

Q: What are the polar coordinates of the rectangular coordinates (2, –2/3)? (2, ) 11T 6 (4, ) 57 3 (4,…

A: we have given the rectangular coordinates which is in quadrant 4 . We have to find the polar…

Q: What are the polar coordinates (r, 0) of the point with Cartesian coordinates (x, y) = (V2, -V2) ? ㅇ…

A: Given cartesian coordinates:x,y=2,-2To find: polar coordinates r,θ

Q: Give polar coordinates for the points (given in Cartesian CO-ordinates) (1, -V3), and (-1, v3)

A: First, we have x,y=1,-3 The polar coordinate of a complex number is ρ,θ Now,  ρ=x2+y2 Therefore,…

Q: Find the formula for the distance between the points P1(a1,b1,c1) and P2(a2,b2,c2) given in…

A: First write the given coordinates in spherical coordinates. a1=r cosθsinϕb1=r…

Q: The cartesian coordinate of the polar coordinate (1, ), will be Select one: O (1, 0) O (0, -1) O…

A:

Q: 11. Find the rectangu lar coordin ates of a point whose polar coordinates are (4, 180).

A: Here we convert the rectangular coordinates into polar coordinates.

Q: Consider the spherical coordinate point (3,7, (3,1) Convert to Cartesian coordinates.

A:

Q: Give all possible polar coordinates for the point (–/3, 1) given in rectangular coordinates. 11π 57…

A: GIven (x,y)=(-3,1) to polar coordinatesWe know that r=x2+y2, so r=(-3)2+12=2Next θ=tan-1(yx) but we…