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

AI Thread Summary
The line L is defined as passing through the origin and being parallel to the vector 2i + 3j. The vector equation for L is correctly expressed as r = (0,0) + s(2,3). It can also be simplified to L = s(2,3). The discussion emphasizes the understanding of vector addition and scalar multiplication. Overall, the conversation confirms the validity of the vector equation for line L.
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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:

$$L=s(2,3)$$:confused:
 
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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).
 
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