# Thread: Determining whether a pair of vectors is collinear?

1. ## 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

2. Originally Posted by kmjt
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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### how to show to vectors are collinear

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