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‘Ž โƒ— = 1๐‘– ฬ‚ + 1๐‘— ฬ‚ + 1๐‘˜ ฬ‚ and ๐‘ โƒ— = 2๐‘– ฬ‚ + 2๐‘— ฬ‚ + 2๐‘˜ ฬ‚ Magnitude of ๐‘Ž โƒ— = โˆš(12+12+12) |๐‘Ž โƒ— | = โˆš(1+1+1) = โˆš3 Direction cosines of ๐‘Ž โƒ— are (1/โˆš3,1/โˆš3,1/โˆš3) Magnitude of ๐‘ โƒ— = โˆš(22+22+22) |๐‘ โƒ— | = โˆš(4+4+4) = 2โˆš(3 ) Directions cosines of ๐‘ โƒ— are (2/(2โˆš3),2/(2โˆš3),2/(2โˆš3)) = (1/โˆš3,1/โˆš3,1/โˆš3) As Direction cosines of ๐’‚ โƒ— and ๐’ƒ โƒ— are same, they have the same direction.

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