shortest distance between two points

hi All,

I am trying to calculate a shortest distance between two points.

lets say, an object moved from coordinates (3,4) to ( 7,7).

then distance between these two points can be calculated using simple pythagoras theoram

d=(7-3)^2 + (7-4)^2= 5

I am also trying to calculate shortes distance between these two coordiantes.

if I am trying ds= (7-3)+(7-4)= 7

but ds can not a displacement, as displacement is the shortest distance between two points.

any one can help please?

Answer 1

[Matt J]

d=norm([7,7]-[3,4])

ds=norm([7,7]-[3,4],1)

[mohammad Farhan]

Thanks Matt, for your response.

let me share here a complete problem.

my data is being packed in a matrix.

e.g.

cX=fb.data.cX; cY=fb.data.cY;

% % distance travelled between each frame dX=diff(cX); dY=diff(cY); adX=abs(dX); adY=abs(dY); a=adX.^2; b=adY.^2;

% use pythagoras CS=plus(a,b); Cq=sqrt(CS); % % % calculate total distance travelled in full box unit (=cm in 1cm box chamber) totaldistance=sum(Cq);

if what I have calculated is the distance travelled, then how should I calculate the displacement and total displacement using X and Y coordinates?

Your help will be really appreciated

[Matt J]

Isn't it adX+adY? If not, I need we'll need a better example of what you want.

[mohammad Farhan]

Yes you are right, but I just realised that using pythagoras theroam I was allready calculating displacement or shortest distance between two point. Using adX+adY will give me actual distance travelled.

Thanks for your input Matt.