operation on single elements in MATLAB

greeting all the experts,

x=-2:1:2; %coordinates x
n=length(x);
y=x.^2;  %coordinates y
z=[x;y];

from the above example, I will have matrix z (2x5)=[-2 -1 0 1 2: 4 1 0 1 4]. This will give 5 point on the graph which are (-2,4), (-1,1), (0,0),(1,1) (2,4). then, my next step is, i want to find the distance for each points.

distance 1 from (-2,4) to (-1,1)

distance 2 from (-1,1) to (0,0)

distance 3 from (0,0) to(1,1)

distance 4 from (1,1) to (2,4)

My problem/question, how to type the distance formula generally to conduct operation on each elements?

distance formula = sqrt((x2-x1)^2+(y2-y1)^2)

Answer 1

[Matt J]

x=-2:1:2; %coordinates x
n=length(x);
y=x.^2;  %coordinates y
z=[x;y]

z = 2×5

-2 -1 0 1 2 4 1 0 1 4

interDistances=vecnorm(diff(z,1,2),2,1)  %the result

interDistances = 1×4

3.1623 1.4142 1.4142 3.1623

[Noriham B]

great...it seems to answer my problem. Very much appreaciate the prompt reply. I was type exactly as urs. And looks fine and no error. But, when I press run button, I got this message

Undefined function 'vecnorm' for input arguments

of type 'double'.

Error in MatJJ (line 10)

interDistances=vecnorm(diff(z,1,2),2,1); %the

result

[Noriham B]

Dear Prof/Dr./Sir Matt J, I got it already. I have to download the VecNorm file first right?Iwas re tried just now. I get the results as expected. Tqvm for introducing me to the VecNorm.

[Walter Roberson]

vecnorm needs r2017b .

We assume you have a new enough version of MATLAB as you did not enter a release when you created your question.

[Noriham B]

noted Prof/Dr./Sir Walter. I will try to get the newer version after this. Thanks :)

Answer 2

[Chunru]

x=-2:1:2;       %coordinates x
y=x.^2;         %coordinates y
z=[x;y]

z = 2×5

-2 -1 0 1 2 4 1 0 1 4

d = diff(z, 1, 2)   % diff along 2nd dim

d = 2×4

1 1 1 1 -3 -1 1 3

d = vecnorm(d)      % distance

d = 1×4

3.1623 1.4142 1.4142 3.1623

[Noriham B]

Dear Prof/Dr./Sir Chunru. Tqvm for the help. U also use vecnorm like Matt J. I will study more about vecnorm for future need. Tq also to MATLAB for giving us opportunity to ask for help in this platform.