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Babynini

  • one year ago

u = 3i+2j v=5i-j a) find the angle between u and v b) find the component of u along v c) find proj_v u

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  1. Babynini
    • one year ago
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    @jim_thompson5910 I did part a but it came out wrong o.o

  2. Babynini
    • one year ago
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    Angle: cos(theta)= (u*v)/|u||v|

  3. Babynini
    • one year ago
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    (u*v) = 17 right?

  4. jim_thompson5910
    • one year ago
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    u dot v should be 13

  5. jim_thompson5910
    • one year ago
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    you lost a negative sign

  6. Babynini
    • one year ago
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    hrm. Yeah I added 2 instead of subtracting it.

  7. Babynini
    • one year ago
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    |u| = sq13 ?

  8. jim_thompson5910
    • one year ago
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    yep

  9. jim_thompson5910
    • one year ago
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    how about |v|

  10. Babynini
    • one year ago
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    |v| = sq26

  11. jim_thompson5910
    • one year ago
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    correct

  12. Babynini
    • one year ago
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    so then cos(theta) = 13/(13 sq2)

  13. jim_thompson5910
    • one year ago
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    yep

  14. Babynini
    • one year ago
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    theta = 45

  15. jim_thompson5910
    • one year ago
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    good

  16. Babynini
    • one year ago
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    ah k, it was just that 13

  17. Babynini
    • one year ago
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    component of u along v would be 2.54?

  18. jim_thompson5910
    • one year ago
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    sorry got distracted

  19. jim_thompson5910
    • one year ago
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    let me check

  20. jim_thompson5910
    • one year ago
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    I'm getting 2.5495097567964

  21. jim_thompson5910
    • one year ago
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    did you get about the same?

  22. Babynini
    • one year ago
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    mhm!

  23. Babynini
    • one year ago
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    Sorry, I didn't see you had replied.

  24. jim_thompson5910
    • one year ago
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    that's ok I didn't see it earlier too

  25. jim_thompson5910
    • one year ago
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    did you figure out part c)?

  26. Babynini
    • one year ago
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    Yep I got 5/2i - 1/2 j

  27. jim_thompson5910
    • one year ago
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    I got <2.5, -0.5> which is the exact same

  28. Babynini
    • one year ago
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    Fantastic :) the form you wrote it in is probably better haha

  29. jim_thompson5910
    • one year ago
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    either way works

  30. Babynini
    • one year ago
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    oki! thanks :)

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