Example 6 - Chapter 10 Class 12 Vector Algebra

Last updated at August 19, 2026 by

Example 6 - Find unit vector in direction of a = 2i + 3j + k

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Example 6 Find unit vector in the direction of vector ๐‘Ž โƒ— = 2๐‘– ฬ‚ + 3๐‘— ฬ‚ + ๐‘˜ ฬ‚ Given ๐‘Ž โƒ— = 2๐‘– ฬ‚ + 3๐‘— ฬ‚ + ๐‘˜ ฬ‚ Magnitude of ๐’‚ โƒ— = โˆš(22+32+12) |๐’‚ โƒ— | = โˆš(4+9+1) = โˆš๐Ÿ๐Ÿ’ Unit vector in direction of ๐‘Ž โƒ— = ๐Ÿ/(๐‘ด๐’‚๐’ˆ๐’๐’Š๐’•๐’–๐’…๐’† ๐’๐’‡๐’‚ โƒ— ) ร— ๐’‚ โƒ— ๐’‚ ฬ‚ = 1/โˆš14 ["2" ๐‘– ฬ‚" + 3" ๐‘— ฬ‚" + 1" ๐‘˜ ฬ‚ ] ๐‘Ž ฬ‚ = 2/โˆš14 ๐‘– ฬ‚ + 3/โˆš14 ๐‘– ฬ‚ + 1/โˆš14 ๐‘˜ ฬ‚

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