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Ex 10.2, 3 - Ex 10.2

Ex 10.2, 3 - Chapter 10 Class 12 Vector Algebra - Part 2

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Ex 10.2, 3 Write two different vectors having same direction.Two vectors have the same directions if their direction cosines are same Let π‘Ž βƒ— = 1𝑖 Μ‚ + 1𝑗 Μ‚ + 1π‘˜ Μ‚ and 𝑏 βƒ— = 2𝑖 Μ‚ + 2𝑗 Μ‚ + 2π‘˜ Μ‚ Magnitude of π‘Ž βƒ— = √(12+12+12) |π‘Ž βƒ— | = √(1+1+1) = √3 Direction cosines of π‘Ž βƒ— are (1/√3,1/√3,1/√3) Magnitude of 𝑏 βƒ— = √(22+22+22) |𝑏 βƒ— | = √(4+4+4) = 2√(3 ) Directions cosines of 𝑏 βƒ— are (2/(2√3),2/(2√3),2/(2√3)) = (1/√3,1/√3,1/√3) As Direction cosines of 𝒂 βƒ— and 𝒃 βƒ— are same, they have the same direction.

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