→ → →→
a=⟨3,−1⟩, and b=⟨2,2⟩. Represent a+b by using the parallelogram method.
complete the parallelogram method, and draw a +b.
select the initial point and then the terminal point.
The initial point is (0,0). [There should be arrows above each of the vector names below.]
Plot the point (3,-1). a is the vector that begins at (0,0) and ends at (3,-1).
Plot the point (2,2). b is the vector that begins at (0,0) and ends at (2,2).
If you add these two vectors together: a + b = (3-1) + (2,2) = (5,1).
In either order: b + a = (2,2) + (3,-1) = (5,1).
You get the same terminal point either way.
The terminal point of a + b is (5,1).
If you draw the vector from (0,0) to (5,-1), you have draw the resultant vector.
Hello! Im sorry if this seems like a dumb mistake but I am pretty sure I plotted it incorrectly and I am not sure what I did wrong.
I think Geno made a small copy error when he told you to plot (5,-1). He meant (5,1)
Maybe this will help.
Can you see how vector b has been moved so that it is still the same length and parallel (same direction) but its start point has moved to (3,-1)
This is how vectors are added. It is the pictorial version of what is happening with the numbers.