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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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