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Last updated at May 29, 2018 by Teachoo

Transcript

Ex 10.2, 3 Write two different vectors having same direction. Two vectors have the same directions if their direction cosines are same Let ๐ โ = 1๐ ฬ + 1๐ ฬ + 1๐ ฬ and ๐ โ = 2๐ ฬ + 2๐ ฬ + 2๐ ฬ Magnitude of ๐ โ = โ(12+12+12) |๐ โ | = โ(1+1+1) = โ3 Direction cosines of ๐ โ are (1/โ3,1/โ3,1/โ3) Magnitude of ๐ โ = โ(22+22+22) |๐ โ | = โ(4+4+4) = 2โ(3 ) Directions cosines of ๐ โ are (2/(2โ3),2/(2โ3),2/(2โ3)) = (1/โ3,1/โ3,1/โ3) As Direction cosines of ๐ โ and ๐ โ are same, they have the same direction.

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.