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Updating captions based on recent contributions
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3b1b committed Mar 6, 2024
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Showing 598 changed files with 173,355 additions and 44,125 deletions.
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1
00:00:16,539 --> 00:00:23,180
00:00:16,540 --> 00:00:23,180
היי אנשים, מאיפה שהפסקנו דיברתי על איך לחשב תוצר צולב תלת מימדי בין שני וקטורים,

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v cross w.

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00:00:25,280 --> 00:00:30,664
זה הדבר המצחיק הזה שבו אתה כותב מטריצה שבעמודה השנייה שלה יש את הקואורדינטות של v,

4
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00:00:30,664 --> 00:00:35,788
שבעמודה השלישית שלה יש את הקואורדינטות של w, אבל הערכים של העמודה הראשונה הזו,

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00:00:35,633 --> 00:00:39,787
באופן מוזר, הם הסמלים i-hat, j-hat ו-k -כובע, שבו אתה פשוט מעמיד
00:00:35,788 --> 00:00:41,367
באופן מוזר, הם הסמלים i-hat, j-hat ו-k -כובע, שבו אתה פשוט מעמיד פנים שהחבר'ה האלה הם

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פנים שהחבר'ה האלה הם מספרים לשם חישובים.
00:00:41,367 --> 00:00:42,600
מספרים לשם חישובים.

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Expand Down Expand Up @@ -59,15 +59,15 @@ v cross w.
אורך זה שווה לשטח המקבילית המוגדר על ידי v ו-w.

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הוא מצביע בכיוון המאונך גם ל-v וגם ל-w, והכיוון הזה מציית לכלל יד ימין,

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במובן זה שאם אתה מכוון את האצבע שלך לאורך v והאצבע האמצעית שלך לאורך w,

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אז כאשר אתה מרים את האגודל, זה' אצביע לכיוון הווקטור החדש.

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Expand Down Expand Up @@ -131,7 +131,7 @@ v cross w.
המוצר הצלב נותן לנו דוגמה ממש חלקה לתהליך הזה בפעולה.

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זה דורש קצת מאמץ, אבל זה בהחלט שווה את זה.

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हेलो दोस्तों, जहां हमने छोड़ा था मैं इस बारे में बात कर रहा था कि दो वैक्टर,

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Expand Down Expand Up @@ -63,23 +63,23 @@
यह लंबाई v और w द्वारा परिभाषित समांतर चतुर्भुज के क्षेत्रफल के बराबर है।

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यह वी और डब्ल्यू दोनों के लिए लंबवत दिशा को इंगित करता है,

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और यह दिशा दाहिने हाथ के नियम का पालन करती है,

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इस अर्थ में कि यदि आप अपनी तर्जनी को वी के साथ और अपनी मध्यमा उंगली को

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00:01:35,026 --> 00:01:38,579
डब्ल्यू के साथ इंगित करते हैं, तो जब आप अपना अंगूठा ऊपर उठाते हैं,

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तो यह ' नए वेक्टर की दिशा में इंगित करेंगे.

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Expand Down Expand Up @@ -155,7 +155,7 @@
क्रॉस उत्पाद हमें कार्रवाई में इस प्रक्रिया का एक बहुत अच्छा उदाहरण देता है।

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इसमें कुछ प्रयास करना पड़ता है, लेकिन यह निश्चित रूप से इसके लायक है।

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