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Ex 10.2, 1 - Compute magnitude of a = i + j + k, b = 2i -7j - 3k

Ex 10.2, 1 - Chapter 10 Class 12 Vector Algebra - Part 2

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Ex 10.2, 1 Compute the magnitude of the following vectors: π‘Ž βƒ— = 𝑖 Μ‚ + 𝑗 Μ‚ + π‘˜ Μ‚, 𝑏 βƒ—= 2𝑖 Μ‚ βˆ’ 7𝑗 Μ‚ – 3π‘˜ Μ‚, 𝑐 βƒ— = 1/√3 𝑖 Μ‚ + 1/√3 𝑗 Μ‚ βˆ’ 1/√3 π‘˜ Μ‚π‘Ž βƒ— = 𝑖 Μ‚ + 𝑗 Μ‚ + π‘˜ Μ‚ = 1𝑖 Μ‚ + 1𝑗 Μ‚ + 1π‘˜ Μ‚ Magnitude of π‘Ž βƒ— = √(12+12+12) |π‘Ž βƒ— | = √3 ∴ Magnitude of π‘Ž βƒ— = √3 𝑏 βƒ— = 2𝑖 Μ‚ – 7𝑗 Μ‚ – 3π‘˜ Μ‚ Magnitude of 𝑏 βƒ— = √(22+(βˆ’7)2+(βˆ’3)2) |𝑏 βƒ— | = √(4+49+9) = √62 ∴ Magnitude of 𝑏 βƒ— = √62 𝑐 βƒ— = 1/√3 𝑖 Μ‚ + 1/√3 𝑗 Μ‚ βˆ’ 1/√3 π‘˜ Μ‚ Magnitude of 𝑐 βƒ— = √((1/√3)^2+(1/√3)^2+((βˆ’1)/√3)^2 ) |𝑐 βƒ— | = √(1/3+1/3+1/3) = √(3/3) = √1 = 1 ∴ Magnitude of 𝑐 βƒ— = 1

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