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 2 years ago
show that if vector v is orthogonal with vector w and u, then v orthogonal with (kw + mu) for all k and m. Please help
 2 years ago
show that if vector v is orthogonal with vector w and u, then v orthogonal with (kw + mu) for all k and m. Please help

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TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2If two vectors are orthogonal, then their dot product is zero\[\vec v\perp\vec w\implies\vec v\cdot\vec w=0\]now remember that constants can be factored our of the dot product\[\vec v\cdot(k\vec w)=k(\vec v\cdot\vec w)\]and that the dot product is distributive\[\vec v\cdot(\vec u+\vec w)=\vec v\cdot\vec w+\vec v\cdot\vec u\]

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0yes. then? I got something not what i want. please, give me more

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2I'm not going to do the whole problem, I am just here to guide you. Take the dot product following what I have written above to evaluate\[\vec v\cdot(k\vec w+m\vec u)\]What do you get?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2right, now how do the constants affect the dot product?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2no, the scalars can be factored out of dot product multiplication\[\vec v\cdot(k\vec w)=k(\vec v\cdot\vec w)=?\]

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2and what is \(\vec v\cdot\vec w\) ?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2yes, so then what is\[\vec v\cdot(k\vec w)\]?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2yes, so then what is\[\vec v\cdot(k\vec w+m\vec u)\]?

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0i got it now. my bad when make them = instead of adding together to get the answer, thanks a lot

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0Let me put everything in neat, would you please check it for me?

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0how to put orthogonal symbol?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1\(\backslash ( \text{\perp}\backslash ) \)

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2are you trying to use the equation editor or are you writing in LaTeX ? ...yeah best is do what @ParthKohli wrote

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1``` \( v \perp u\) ```

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0\(\perp\) Lol. got it. thanks

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0i need time to practice how to use the symbol. do many time but delete all at the end, sorry , waste your time, I try and send you mine in perfect . thanks thanks a lot for help in material

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0by the way how to put vector symbol

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2\[\backslash(\text{\vec u}\backslash)\], and if you want to get good at writing equations try learning the language LaTeX

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0\(v\perp u\) > \(v\perp ku\) is it right?

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0\(v perp w\) > \(v perp mw\)

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2LaTeX is the language used to write the math symbols. enclose things in brackets like so: \[ code \.] or \( code \.) (do not put the period, I just did that to illustrate how to put the backslashes and brackets http://omega.albany.edu:8008/Symbols.html yes

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2for what you are doing you should write\[\backslash [\text{\vec v \perp \vec w}\backslash ]\]backslashes and spaces are important

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0\[\vec v\perp\vec w\]. bingo

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2nice :) keep practicing LaTeX, it's handy!

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0I will. thank you very much.

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0\[\vec v\perp\vec w\]> \[\vec v\perp\k vec w\]

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2You are welcome! another tip: if you want to know how somebody wrote something, hover your cursor over the latex you want to know the code for and press right click > show math as > Tex commands and you can see the source code and copy and paste it into\[\backslash[\dots\backslash]\text{ or }\backslash(\dots\backslash)\] It takes some practice to avoid syntax errors. The arrow can be done with \implies, though i? I think a double arrow is better here \iff (if and only if)

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2very good :D\[\backslash[\text{\vec v\perp \vec w\iff \vec v\cdot\vec w=0}\backslash]\]gives\[\vec v\perp \vec w\iff \vec v\cdot\vec w=0\]

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1I never answered this question. A medal is definitely not needed here. Just doing my amby thing :)

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0i am using other's computer, and i don't know how to copy the conversation to read later or follow when practice. so i have to copy by hand what you guide. it takes time.

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2@parth But I never thought to show latex by writing \backslash the way you did, and that proved very useful :) @hoa typing in latex does take some time, but of course it becomes less when you get used to it.

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1@hoa It took me a lot of time too!

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0@ParthKohli . I don't know what you mean, but to me, being helpful person deserves all. I appreciate what others guide me.

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0@ParthKohli . the net automatically put the medal , i didn't do. or other put it there

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0yes. my question is: what does the medal mean?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2Giving medals for best answer raises the recipients SmartScore. Parth and I have already gotten our fair share, that's why we're level 99.

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0why ? to me, it's just for showing the appreciateness

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1Mine wasn't too fair. :P

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2I don't think most highlevel users care much about scores and medals. It's just a sort of acknowledgement, but the teaching is what really matters.

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0ok. I got it. I make question "iff" need explanation, so whenever there is someone helps me, i give medal to show my appreciation no matter what it 's the best answer or not . now, i know what it means, thanks

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2No, you should really only give a medal if you think the user really *deserves* it. Feel free not to give one for those who only try to give answers without teaching, of which there are many.

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0they know who they are no matter how many medals they have, right? we are self respect, they are the same. However, if you say so, I will be careful in giving medal. And if you say so, I feel my medal does not deserve at all. All my answer is for very very easy problems. shame on me

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2Don't feel bad, just help people in a way you can be proud of. Try to teach others, regardless of the level of the question and you will do great here!
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