i am struggling with these vectors graphics

[modern jolt]

it would be awesome if someone explained in french but ill put translation

[summer cape]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with: ```diff
   +close

[modern jolt]

The plane is provided with a reference (O; i, j)

) We consider the points A, B and C with respective coordinates (-1; 3), (3; 1) and (1; 7).
We denote by I the midpoint of [BC].

1. In the graph, given in the appendix, place points A, B and C. The figure will be completed as you go, and, at the end, reproduced or inserted in the copy.
2. Calculate the coordinates of point I. Place I in the graph.
3. Calculate the coordinates of D so that ABCC is a parallelogram.
4. Let H(a; -3). Determine by calculation the value of a so that the points A, B and H are aligned. Place H in the graph.
5. Let F200 ; 3.
   To. Calculate the coordinates of the vectors CF and IA.
   b. Deduce a relation between the vectors CF and IA.
   vs. What about the position of the lines (CF) and (IA)?

Consider the points M(1; 1) and N(1; 5).
To. Place points M and N on the graph.
b. Place point K such that = + − 1
2
2
AK AM AN MN
   
.
Read the coordinates of K. Leave the construction lines on the graph.
vs. Using the relation = + − 1
2
2
AK AM AN MN
   
, find by calculation the coordinates

[modern jolt]

+close