ACTIVITY 2.2
VECTOR ADDITION USING COMPONENTS

The vector sum is a very easy operation of acting when we work with components: adding the two components, the 1rst  with the 1rst and the 2nd  with the 2nd is enough.

So, in the figure you have next sums made:

+ = (1, 3) + (4, 2) = (1+ 4, 3+3) = (5, 5)
      + = (-1, -3) + (5, 2) = (-1+ 5, -3+2) = (4, -1)

In general, if= (u ₁, u ₂) and= (v ₁, v ₂) , then

+ = (u ₁ , u ₂) + (v ₁ , v ₂) = (u ₁ + v ₁ , u ₂ + v ₂)

INTERACTIVE ACTIVITY

You have two vectorsandand his vector sum+. You can move green points by different vectors.

Make graphically the following sums of vectors with given by his components:

1) (4,-2) + (2, 5)
2) (-3,1) + (4,-7)
3) (0,-4) + (-6,7)
4) (3,-3) + (3,-3)
5) (5, 4) + (1,-4)
6) (-5,3) + (5,-3)

You observe that always it's verified :
              Components of  (+) =
       Components of+ components of

SOLUTION

a) (-2, 4) + (5, 2)

d) (-3, 3) + (-3, 3)

b) (1, -3) + (-7, 4)

e) (4, 5) + (-4, 1)

c) (-4,0) + (7, -6)

f) (3, -5) + (-3, 5)

END OF ACTIVITY 2.2
VECTOR ADDITION USING COMPONENTS