Math Is Fun Forum

{7/3}

Member

Registered: 2013-02-11

Posts: 210

Orthogonal projection

Suppose y=2x+1 is a line on xy plane.(2,3) is a point,what are the coordinates of the orthogonal projection of point on the line?

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There are 10 kinds of people in the world,people who understand binary and people who don't.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Orthogonal projection

Hi;

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

{7/3}

Member

Registered: 2013-02-11

Posts: 210

Re: Orthogonal projection

Thanks,how did you derive the coordinates?I've thought of a way but it's complex.

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There are 10 kinds of people in the world,people who understand binary and people who don't.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Orthogonal projection

Hi;

The slope is 2, the slope of the line orthogonal to that is -1/2. So the equation is of the form:

Plugging in x =2 and y = 3 we get b = 4.

Solve the set of equations

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

{7/3}

Member

Registered: 2013-02-11

Posts: 210

Re: Orthogonal projection

I thought of this method too.anyway thanks

---

There are 10 kinds of people in the world,people who understand binary and people who don't.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Orthogonal projection

Hi;

You are welcome, hopefully it is correct.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.