How to find the projection of vectors from corrdinates?

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Hi,
If I have the corrdinates of two vectors (not the elements of the vectors) in 2D plane
v1: from (1, 2) to (9, 10)
v2: from (9, 10) to (6, 14)
is there a way to get the projection of v1 on v2?
Thanks a lot for your help!
  2 Comments
Karl Bridggie
Karl Bridggie on 14 Sep 2022
Thanks Dyuman! I know how to do it in maths, and I think I should use the dot function in MATLAB. If the vectors are u and v, then I need to do something like this:
dot(u,v) / dot(v,v) * v;
My problem is I don't know how to convert the vectors in corrdinate format (as v1 and v2 in the question) to the format that is suitable for the dot function.

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Accepted Answer

Dyuman Joshi
Dyuman Joshi on 14 Sep 2022
Proceed the same way as you would on pen and paper. You can use points to define the vector -
%[x-coordinate y-coordinate]
p1=[1 2];
p2=[9 10];
p3=[9 10];
p4=[6 14];
%defining vectors
v1=p2-p1;
v2=p4-p3;
%Therefore, projection of v1 on v2 is
projv1_v2=dot(v1,v2)/dot(v2,v2)*v2
projv1_v2 = 1×2
-0.9600 1.2800

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