How to find the projection of vectors from corrdinates?

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Karl Bridggie
Karl Bridggie el 14 de Sept. de 2022
Comentada: Karl Bridggie el 15 de Sept. de 2022
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 comentarios
Dyuman Joshi
Dyuman Joshi el 14 de Sept. de 2022
This is a simple mathematics question. Yes, there is a way to get what you want.
But how does this relate to MATLAB?
Is this a homework/assignment problem? If so, what have you tried yet?
Karl Bridggie
Karl Bridggie el 14 de Sept. de 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.

Iniciar sesión para comentar.

Respuesta aceptada

Dyuman Joshi
Dyuman Joshi el 14 de Sept. de 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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