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Math Help - vector

  1. #1
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    Post vector

    Find a vector 10 units long in the direction of u = 3i + 3j.


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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Mr_Green View Post
    Find a vector 10 units long in the direction of u = 3i + 3j.


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    let the vector we are looking for be x

    first let's find the unit vector in this direction.

    let v be the unit vector in the direction of u

    => v = u/|u|

    |u| = sqrt(3^2 + 3^2) = sqrt(18)

    => v = <3/sqrt(18), 3/sqrt(18)>

    so to get a vector 10 units long, we just multiply the unit vector by 10

    => x = <30/sqrt(18), 30/sqrt(18)> = [30/sqrt(18)]i + [30/sqrt(18)]j
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