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Last updated at Dec. 8, 2016 by Teachoo
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Ex 10.2, 2 Write two different vectors having same magnitude. Let us take two different vectors, 𝑎 = 2 𝑖 + 𝑗 + 𝑘 = 2 𝑖 + 1 𝑗 + 1 𝑘 And 𝑏 = 𝑖 + 𝑗 + 2 𝑘 = 1 𝑖 + 1 𝑗 + 2 𝑘 Magnitude of 𝑎 = 22+12+12 𝑎 = 4+1+1 = 6 Magnitude of 𝑏 = 12+12+22 𝑏 = 1+1+4 = 6 ∴ Magnitude of 𝑎 = Magnitude of 𝑏 = 6 Thus two different vectors having the same magnitude are 𝑎 = 2 𝒊 + 𝒋 + 𝒌 and 𝑏 = 𝒊 + 𝒋 + 2 𝒌
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