وبلاگ علمی | xwx1 | مطالب علمی | - کمیت برداری
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مدیر وبلاگ : al momadi
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وبلاگ علمی | xwx1 | مطالب علمی |
زگهواره تا گور ...

بردارها کمیتهایی هستند که هم بزرگی و هم جهت دارند.

دید کلی
فرض کنید که شخصی در خیابان از شما می‌پرسد، کتابخانه کجاست؟ و شما جواب بدهید، نیم کیلومتر از اینجا فاصله دارد و سپس به راه خود بروید. او نمی‌تواند کتابخانه را پیدا کند، زیرا نمی‌داند که در چه جهتی باید حرکت کند. به همین ترتیب ، نیروی وارد از تسمه کایت و قلاده به دست شخص نیز هم از نظر بزرگی و هم از نظر جهتی باهم فرق دارند.

بردار ، سازه‌ای ریاضی است که برای مشخص کردن کمیتهایی بکار می‌رود که برای آنها بزرگی و جهت در نظر می‌گیریم (جسمی 5 متر در شرق ، شمال ، بالا یا پایین مبدأ مختصات جابجا شود) ، نیرو (جسمی را با نیروی معین در جهت خاص حرکت می‌کشیم یا فشار می‌دهیم) و بردار سرعت (اتومبیلی با سرعت 30Km/h به شرق ، جنوب یا شمال غربی حرکت می‌کند) مثالهایی از کمیتهای برداری هستند.

نمایش برداری بردار را با یک پیکان نمایش می‌دهیم، جهت این پیکان ، جهت بردار و طول آن بزرگی بردار را نشان می‌دهد. هر چند بردار فقط انتزاعی ریاضی است اما برای مشخص کردن رده وسیعی از کمیتهای فیزیکی مانند جابجایی ، نیرو ، بردار سرعت ، شتاب و اندازه حرکت بسیار مفید است.

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دوشنبه 29 شهریور 1389 :: نویسنده : al momadi
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