In polar coordinates a two-dimensional vector is given by its radius and angle (r, theta). Write a
user-defined function that adds two vectors that are given in polar coordinates. For the function
name and arguments use Where A is a matrix with rows as number of vectors and columns as
rand theta. The output arguments are radius and angle of the result. Use the function to carry the
following additions:
Solution
Type the code as below in a matlab file with name \'addvecpol.m\'
function [r th] = addvecpol(a)
x1=a(1,1)*cos(a(2,1)*pi/180);
y1=a(1,1)*sin(a(2,1)*pi/180);
x2=a(1,2)*cos(a(2,2)*pi/180);
y2=a(1,2)*sin(a(2,2)*pi/180);
x3=x2+x1;
y3=y2+y1;
r=sqrt(x3.^2+y3.^2);
th=atan(y3/x3)*180/pi;
output for a) is
r =
16.8451
th =
35.0215
output for b) is
r =
19.7048
th =
-67.4337
output for c) is
r =
10.6878
th =
-53.7622.
In polar coordinates a two-dimensional vector is given by its radius .pdf
1. In polar coordinates a two-dimensional vector is given by its radius and angle (r, theta). Write a
user-defined function that adds two vectors that are given in polar coordinates. For the function
name and arguments use Where A is a matrix with rows as number of vectors and columns as
rand theta. The output arguments are radius and angle of the result. Use the function to carry the
following additions:
Solution
Type the code as below in a matlab file with name 'addvecpol.m'
function [r th] = addvecpol(a)
x1=a(1,1)*cos(a(2,1)*pi/180);
y1=a(1,1)*sin(a(2,1)*pi/180);
x2=a(1,2)*cos(a(2,2)*pi/180);
y2=a(1,2)*sin(a(2,2)*pi/180);
x3=x2+x1;
y3=y2+y1;
r=sqrt(x3.^2+y3.^2);
th=atan(y3/x3)*180/pi;
output for a) is
r =
16.8451
th =
35.0215
output for b) is
r =
19.7048
th =
-67.4337
output for c) is
r =
10.6878
th =
-53.7622
![In polar coordinates a two-dimensional vector is given by its radius and angle (r, theta). Write a
user-defined function that adds two vectors that are given in polar coordinates. For the function
name and arguments use Where A is a matrix with rows as number of vectors and columns as
rand theta. The output arguments are radius and angle of the result. Use the function to carry the
following additions:
Solution
Type the code as below in a matlab file with name 'addvecpol.m'
function [r th] = addvecpol(a)
x1=a(1,1)*cos(a(2,1)*pi/180);
y1=a(1,1)*sin(a(2,1)*pi/180);
x2=a(1,2)*cos(a(2,2)*pi/180);
y2=a(1,2)*sin(a(2,2)*pi/180);
x3=x2+x1;
y3=y2+y1;
r=sqrt(x3.^2+y3.^2);
th=atan(y3/x3)*180/pi;
output for a) is
r =
16.8451
th =
35.0215
output for b) is
r =
19.7048
th =
-67.4337
output for c) is
r =
10.6878
th =
-53.7622](https://image.slidesharecdn.com/inpolarcoordinatesatwo-dimensionalvectorisgivenbyitsradius-230325113416-dfebdfd5/85/In-polar-coordinates-a-two-dimensional-vector-is-given-by-its-radius-pdf-1-320.jpg)
