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math / science

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find the vector with all of the following properties:

magnitude 10
angle of 45 degrees with positive x-axis
angle of 75 with positive y-axis
positive k component

  • math / science -

    r= 10cos45 i + 10 cos75 j + Z k

    but you know you can find Z by this

    10^2=10^2*cos^2 45 + 10^2 cos^2 75 + Z^2

    or

    Z= 10 sqrt (1-.5-.067)
    Z= 6.58

    check all that.

  • math / science -

    thank you so much

  • math / science -

    so then is the vector .5i + .067j + 6.58k??

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