MHB IBV8 line L passes through the origin and is parallel to the vector 2i + 3j

[karush]

The line L passes through the origin and is parallel to the vector 2i + 3j.
Write down a vector equation for L.

$$r=(0,0)+s(2,3)$$

my question pending this is correct, could this be written as:

$$L=s(2,3)$$

 

[HallsofIvy]

Yes, of course. I can't help but wonder why you are asking. I cannot imagine you being given a question like this without already know how to add vectors and multiply a vector by a number. s(2, 3)= (2s, 2s) and (0, 0)+ s(2, 3)= (0+ 2s, 0+ 3s)= (2s 3s).