Diketahui, , maka nilai,

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Baca Juga :  Berapa 602345 * 1463095 - 512683

PERTANYAAN :


Diketahui open vertical bar a with bar on top close vertical bar equals square root of 3 comma space open vertical bar b with bar on top close vertical bar equals 1 comma space open vertical bar a with bar on top minus b with bar on top close vertical bar equals 1, maka nilai open vertical bar a with bar on top plus b with bar on top close vertical bar equals... 

Jawaban

 begin mathsize 14px style open vertical bar straight a with bar on top plus straight b with bar on top close vertical bar equals square root of 7 end style


Pembahasan

Perhatikan bahwa begin mathsize 14px style open vertical bar straight a plus-or-minus straight b close vertical bar equals square root of open vertical bar straight a close vertical bar squared plus open vertical bar straight b close vertical bar squared plus-or-minus 2 open vertical bar straight a close vertical bar times open vertical bar straight b close vertical bar times cos space straight theta end root end style. Sehingga 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar straight a minus straight b close vertical bar end cell equals cell square root of open vertical bar straight a close vertical bar squared plus open vertical bar straight b close vertical bar squared minus 2 times open vertical bar straight a close vertical bar times open vertical bar straight b close vertical bar times cos space straight theta end root end cell row 1 equals cell square root of open parentheses square root of 3 close parentheses squared plus open parentheses 1 close parentheses minus 2 times open vertical bar straight a close vertical bar times open vertical bar straight b close vertical bar times cos space straight theta end root end cell row 1 equals cell square root of 3 plus 1 minus 2 times open vertical bar straight a close vertical bar times open vertical bar straight b close vertical bar times cos space straight theta end root end cell row 1 equals cell square root of 4 minus 2 times open vertical bar straight a close vertical bar times open vertical bar straight b close vertical bar times cos space straight theta end root end cell row cell open parentheses 1 close parentheses squared end cell equals cell open parentheses square root of 4 minus 2 times open vertical bar straight a close vertical bar times open vertical bar straight b close vertical bar times cos space straight theta end root close parentheses squared end cell row 1 equals cell 4 minus 2 times open vertical bar straight a close vertical bar times open vertical bar straight b close vertical bar times cos space straight theta end cell row cell 2 times open vertical bar straight a close vertical bar times open vertical bar straight b close vertical bar times cos space straight theta end cell equals 3 end table end style 

Maka nilai dari begin mathsize 14px style vertical line straight a with bar on top plus straight b with bar on top vertical line end style sebagai berikut 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar straight a plus straight b close vertical bar end cell equals cell square root of open vertical bar straight a close vertical bar squared plus open vertical bar straight b close vertical bar squared plus 2 times open vertical bar straight a close vertical bar times open vertical bar straight b close vertical bar times cosθ end root end cell row blank equals cell square root of open parentheses square root of 3 close parentheses squared plus open parentheses 1 close parentheses squared plus 3 end root end cell row blank equals cell square root of 3 plus 1 plus 3 end root end cell row blank equals cell square root of 7 end cell end table end style 

Jadi begin mathsize 14px style open vertical bar straight a with bar on top plus straight b with bar on top close vertical bar equals square root of 7 end style


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Baca Juga :  Mr. Edgar Good afternoon, Mrs. Yunita., Mrs. Yunita: Good afternoon., Mr. Edgar:First of all, I want to congratulate you on your new position asthe Director of Robotic Development Department of this company., Mrs. Yunita:Thank you., "Mr. Edgar:How was your feeling, Maam, when the President Director appointed you to this position?", Mrs. Yunita:I was honored, I mean I am honored. I felt happy, shy, a little bit anxious, and could not believe what I heard., "Mr. Edgar:Im sorry, but did you just say shy?", "Mrs. Yunita:Yes, shy because all the audience in the room looked at me. They congratulated me and gave a big round of applause. Can you imagine· that? And I was a little bit anxious that I wont lead the department well in the future. But Im still optimist that we, Robotic Development Department, will achieve our goals.", "Mr. Edgar: Then, what is your plan to achieve those goals, Maam?", "Mrs. Yunita: To optimize the development of our company, the department will alsofocus on new inventions of robotic features. We will improve our robotic technology. Several research based on customers needs have also been conducted recently to help us improve our quality.", Mr. Edgar: May I know what research the department has been doing lately? ., "Mrs. Yunjta: WelL It is still the secret of my company, but let me ask you. Are you busy lately that you dont have time to do chores?", Mr. Edgar: I am. That is the problems of many people today., Mrs. Yunita: Yes, you are right. Hiring household assistants or butlers that can do all the chores as we want them to is quite difficult, right? We have to mind their salaries beside our own expenses., "Mr. Edgar Yes, that is what we are facing today. Wait, dont? you tell me what youve been working on?", Mrs. Yunita: Sure.

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