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Vectors vector

  1. Jan 24, 2016 #1
    1. The problem statement, all variables and given/known data
    If a vector makes 45 degrees and 60 degrees with x-axis and y-axis respectively then the angle it makes with z-axis is equal to

    2. Relevant equations


    3. The attempt at a solution
     
  2. jcsd
  3. Jan 24, 2016 #2

    Suraj M

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    It would easier to help you if you give it a try first
    You must give an attempt only then can we help you.
     
  4. Jan 24, 2016 #3
    I've applied the concept of direction cosines to solve it but I couldn't get the answer.
     
  5. Jan 24, 2016 #4

    Suraj M

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  6. Jan 24, 2016 #5
    WP_20160124_002.jpg
     
  7. Jan 24, 2016 #6

    haruspex

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  8. Jan 24, 2016 #7
    Actually the answer(60 degrees) is not given in the answer column. So I just wanted to know if it's correct.
     
  9. Jan 24, 2016 #8
    And i didn't get the cos^2 alpha + cos^2 beta + cos^2 gama=1. Can you please explain me?
     
  10. Jan 24, 2016 #9

    Suraj M

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    You do get 1!
    The answer of 60 degrees looks fine to me.
     
  11. Jan 24, 2016 #10

    haruspex

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    It's just Pythagoras' formula. If a unit vector from the origin makes those angles with the axes, then the cosines are the x, y, z coordinates.
     
  12. Jan 24, 2016 #11
    Much appreciated, thank you.
     
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