Write two different vectors having the same magnitude - Teachoo

Ex 10.2, 2 - Chapter 10 Class 12 Vector Algebra - Part 2

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Ex 10.2, 2 Write two different vectors having same magnitude. Let us take two different vectors, π‘Ž βƒ— = 2𝑖 Μ‚ + 𝑗 Μ‚ + π‘˜ Μ‚ = 2𝑖 Μ‚ + 1𝑗 Μ‚ + 1π‘˜ Μ‚ And 𝑏 βƒ— = 𝑖 Μ‚ + 𝑗 Μ‚ + 2π‘˜ Μ‚ = 1𝑖 Μ‚ + 1𝑗 Μ‚ + 2π‘˜ Μ‚ Magnitude of π‘Ž βƒ— = √(22+12+12) |π‘Ž βƒ— | = √(4+1+1) = √6 Magnitude of 𝑏 βƒ— = √(12+12+22) |𝑏 βƒ— | = √(1+1+4) = √6 ∴ Magnitude of π‘Ž βƒ— = Magnitude of 𝑏 βƒ— = √6 Thus two different vectors having the same magnitude are π‘Ž βƒ— = 2π’Š Μ‚ + 𝒋 Μ‚ + π’Œ Μ‚ and 𝑏 βƒ— = π’Š Μ‚ + 𝒋 Μ‚ + 2π’Œ Μ‚

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.