When two vectors (p, q) and (5,1) are parallel?

Question

Vector Algebra mathematics. 

Answer 1

Remember that "slope" is often called "rise over run" because it measures the increase in y-values divided by the increase in x-values.  Also remember that lines that are parallel have the same slope.

 

Applying those items to vectors, two vectors that are parallel have the same slope:

       q/r = 5/1 

   They may have different length, but the relationship will always be:    q=5r.

      All the vectors have the direction given by slope = 5/1.