Ex 10.2, 3  - Write two different vectors having same direction - Ex 10.2

  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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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 ๐‘Žย โƒ— = 1๐‘–ย ฬ‚ + 1๐‘—ย ฬ‚ + 1๐‘˜ย ฬ‚ and ๐‘ย โƒ— = 2๐‘–ย ฬ‚ + 2๐‘—ย ฬ‚ + 2๐‘˜ย ฬ‚ Magnitude of ๐‘Žย โƒ— = โˆš(12+12+12) |๐‘Žย โƒ— | = โˆš(1+1+1) = โˆš3 Direction cosines of ๐‘Žย โƒ— are (1/โˆš3,1/โˆš3,1/โˆš3) Magnitude of ๐‘ย โƒ— = โˆš(22+22+22) |๐‘ย โƒ— | = โˆš(4+4+4) = 2โˆš(3 ) Directions cosines of ๐‘ย โƒ— are (2/(2โˆš3),2/(2โˆš3),2/(2โˆš3)) = (1/โˆš3,1/โˆš3,1/โˆš3) As Direction cosines of ๐’‚ย โƒ— and ๐’ƒย โƒ— are same, they have the same direction.

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