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Ex 10.2, 6 - Ex 10.2

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Ex 10.2, 6 Find the sum of the vectors π‘Ž βƒ— = 𝑖 Μ‚ βˆ’ 2𝑗 Μ‚ + π‘˜ Μ‚, 𝑏 βƒ— = βˆ’2𝑖 Μ‚ + 4𝑗 Μ‚ + 5π‘˜ and 𝑐 βƒ— = 𝑖 Μ‚ – 6𝑗 Μ‚ βˆ’ 7π‘˜ Μ‚. π‘Ž βƒ— = 𝑖 Μ‚ βˆ’ 2𝑗 Μ‚ + π‘˜ Μ‚, 𝑏 βƒ— = βˆ’2𝑖 Μ‚ + 4𝑗 Μ‚ + 5π‘˜ 𝑐 βƒ— = 𝑖 Μ‚ – 6𝑗 Μ‚ βˆ’ 7π‘˜ Μ‚. Now, (π‘Ž βƒ— + 𝑏 βƒ— + 𝑐 βƒ—) = (1 – 2 + 1) 𝑖 Μ‚ + (-2 + 4 – 6) 𝑗 Μ‚ + (1 + 5 – 7) π‘˜ Μ‚ = 0𝑖 Μ‚ – 4𝑗 Μ‚ – π‘˜ Μ‚ = – 4𝑗 Μ‚ – π‘˜ Μ‚ ∴ Sum of vectors π‘Ž βƒ— , 𝑏 βƒ— and 𝑐 βƒ— = – 4𝒋 Μ‚ – π’Œ Μ‚

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.