0 个投票

How to write a program for finding the ortogonal projection of a given vector V1 on another given vector V2??
How should ı do? Which Matlab commands should i use?

5 个评论
显示 3更早的评论 隐藏 3更早的评论

Jan
Jan 2022-11-5
How would you do this with pencil and paper?
John D'Errico
John D'Errico 2022-11-5
Jan's question is the perfect one: I.e., How would you do it on paper, as if you know how to do that, then you can trivially write the MATLAB code. If you don't understand that, then this is surely a homework problem for you, and you need to make an effort.
I know orthogonal projection is done like this, but I have no idea how to write this in matlab. If I define Vector V1 and V2, multiply as V1.*V2 then divide to V1.^2. Then multiply the result from here by Vector 1. Will i get correct results?
Jan
Jan 2022-11-6
V1 .* V2 is the elementwise multiplication. You want the dot product instead: V1 * V2.' or dot(V1, V2). Mathematically this can be expressed as sum(V1 .* V2) also.
V1 .^ 2 squares each element, but you want the norm of the vectors: norm(V2)^2. This can be written as sum(V1 .* V1) also.
Try it. There are some different possible commands only, so you can solve this by "gunshot programming": modify the code until the result is as expected.
Mustafa Furkan SAHIN
编辑：Mustafa Furkan SAHIN 2022-11-6
V1 = input('Vector V1= ');
V2 = input('Vector V2= ');
frstprt= dot(V1,V2)/norm(V1,2)^2;
scndprt = frstprt.*V1;
I got the correct result with this Matlab program.Thank you very much for helping me understand the matlab code.

请先登录，再进行评论。

请先登录，再回答此问题。

 采纳的回答

1 个投票

V1 = input('Vector V1= ');
V2 = input('Vector V2= ');
frstprt= dot(V1,V2)/norm(V1,2)^2;
scndprt = frstprt.*V1;

更多回答（0 个）

类别

在 帮助中心 和 File Exchange 中查找有关 Programming 的更多信息

产品

版本

R2022b

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by