Lec-01 | Introduction of Vector | Vector Calculus | Engineering Mathematics | Shailendra Shivhare

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๐Ÿ”ด๐’๐š๐ค๐ฌ๐ก๐š๐ฆ ๐๐š๐ญ๐œ๐ก (๐๐ž๐ฐ ๐๐š๐ญ๐œ๐ก ๐ข๐ง ๐‘๐ฌ. ๐Ÿ“๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐†๐€๐“๐„-๐Ÿ๐ŸŽ๐Ÿ๐Ÿ“ & ๐‘๐ฌ. ๐Ÿ•๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ“+๐Ÿ‘ ๐Œ๐จ๐ง๐ญ๐ก & ๐‘๐ฌ. ๐Ÿ—๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ—+๐Ÿ‘ ๐Œ๐จ๐ง๐ญ๐ก, ๐‘๐ฌ. ๐Ÿ๐Ÿ๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ๐Ÿ+๐Ÿ” ๐Œ๐จ๐ง๐ญ๐ก & ๐‘๐ฌ. ๐Ÿ๐Ÿ”๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ๐Ÿ–+๐Ÿ” ๐Œ๐จ๐ง๐ญ๐ก) ๐Ÿ๐จ๐ซ ๐†๐€๐“๐„ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ“/๐Ÿ๐Ÿ” ๐š๐ฌ๐ฉ๐ข๐ซ๐š๐ง๐ญ๐ฌ. ๐„๐ง๐ซ๐จ๐ฅ๐ฅ ๐๐จ๐ฐ !!
โžค ๐ˆ๐ง๐ฌ๐ญ๐ซ๐ฎ๐ฆ๐ž๐ง๐ญ๐š๐ญ๐ข๐จ๐ง ๐š๐ง๐ ๐๐ซ๐จ๐œ๐ž๐ฌ๐ฌ ๐‚๐จ๐ง๐ญ๐ซ๐จ๐ฅ, ๐Œ๐š๐ฌ๐ฌ ๐ญ๐ซ๐š๐ง๐ฌ๐Ÿ๐ž๐ซ and ๐„๐ง๐ ๐ข๐ง๐ž๐ž๐ซ๐ข๐ง๐  ๐Œ๐š๐ญ๐ก๐ž๐ฆ๐š๐ญ๐ข๐œ๐ฌ, are ๐ซ๐ฎ๐ง๐ง๐ข๐ง๐  ๐‹๐ข๐ฏ๐ž ๐ข๐ง ๐š๐ฅ๐ฅ ๐›๐š๐ญ๐œ๐ก๐ž๐ฌ at ๐Ÿ–:๐ŸŽ๐ŸŽ ๐€๐Œ, ๐Ÿ”:๐ŸŽ๐ŸŽ ๐๐Œ and ๐Ÿ—:๐ŸŽ๐ŸŽ ๐๐Œ respectively.
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๐Ÿ”ด ๐๐„๐„๐• ๐๐š๐ญ๐œ๐ก (๐’๐ฎ๐›๐ฃ๐ž๐œ๐ญ-๐ฐ๐ข๐ฌ๐ž ๐๐ฎ๐ง๐๐ฅ๐ž ๐‚๐จ๐ฎ๐ซ๐ฌ๐ž ๐Ÿ๐จ๐ซ ๐†๐€๐“๐„-๐Ÿ๐ŸŽ๐Ÿ๐Ÿ“ ๐š๐ฌ๐ฉ๐ข๐ซ๐š๐ง๐ญ๐ฌ).
โžค ๐๐„๐„๐• ๐๐š๐ญ๐œ๐ก-๐ˆ (๐‡๐“, ๐Œ๐“, ๐ˆ๐๐‚, ๐๐ƒ๐„, ๐€๐ฉ๐ญ๐ข๐ญ๐ฎ๐๐ž) ๐ข๐ง ๐‘๐ฌ. ๐Ÿ๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ ๐Œ๐จ๐ง๐ญ๐ก & ๐‘๐ฌ. ๐Ÿ‘๐Ÿ’๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ‘ ๐Œ๐จ๐ง๐ญ๐ก & ๐‘๐ฌ. ๐Ÿ’๐Ÿ’๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ“ ๐Œ๐จ๐ง๐ญ๐ก) ๐Ÿ๐จ๐ซ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ“/๐Ÿ๐Ÿ” ๐š๐ฌ๐ฉ๐ข๐ซ๐š๐ง๐ญ๐ฌ :
โžค ๐๐„๐„๐• ๐๐š๐ญ๐œ๐ก-๐ˆ๐ˆ (๐๐‚, ๐‚๐‘๐„, ๐…๐Œ, ๐Œ๐Ž & ๐‚๐ฅ๐š๐ฌ๐ฌ๐ข๐œ๐š๐ฅ ๐š๐ง๐ ๐’๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง ๐“๐ก๐ž๐ซ๐ฆ๐จ๐๐ฒ๐ง๐š๐ฆ๐ข๐œ๐ฌ) ๐ข๐ง ๐‘๐ฌ. ๐Ÿ๐Ÿ’๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ ๐Œ๐จ๐ง๐ญ๐ก & ๐‘๐ฌ. ๐Ÿ‘๐Ÿ’๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ‘ ๐Œ๐จ๐ง๐ญ๐ก & ๐‘๐ฌ. ๐Ÿ’๐Ÿ’๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ“ ๐Œ๐จ๐ง๐ญ๐ก) ๐Ÿ๐จ๐ซ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ“/๐Ÿ๐Ÿ” ๐š๐ฌ๐ฉ๐ข๐ซ๐š๐ง๐ญ๐ฌ.
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๐Ÿ”ด ๐€๐ง๐จ๐ญ๐ก๐ž๐ซ ๐๐š๐ญ๐œ๐ก ๐…๐จ๐ซ ๐†๐€๐“๐„-๐Ÿ๐Ÿ“/๐Ÿ๐Ÿ” ๐’๐ญ๐ฎ๐๐ž๐ง๐ญ๐ฌ:
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