+0

0
61
3

→                 →                                 →→

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.

May 8, 2020

#1
+21830
+1

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.

May 8, 2020
#2
+1

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.

Guest May 9, 2020
#3
+110053
+1

Thanks Geno,

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.

Melody  May 9, 2020