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Math Help - Determining whether a pair of vectors is collinear?

  1. #1
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    Determining whether a pair of vectors is collinear?

    edit: trying something

    There are two vectors:

    vector u = [5,8,2]
    vector v = [-7,3,6]

    How would I determine if they are collinear (without graphing)? I think that if the slopes are identical they are collinear, but i'm not sure how to find the slope of a 3d vector
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  2. #2
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    Quote Originally Posted by kmjt View Post
    edit: trying something

    There are two vectors:

    vector u = [5,8,2]
    vector v = [-7,3,6]

    How would I determine if they are collinear (without graphing)? I think that if the slopes are identical they are collinear, but i'm not sure how to find the slope of a 3d vector
    Vectors are collinear if one of them is a scalar multiple of the other.

    i.e. if you can find some  k \in \mathbb{R} such that  \vec{u} = k\vec{v} then  \vec{u} \text{ and } \vec{v} are collinear.
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